All issues
Volume 33 (1972)
- Issue 6 Pages 1505-
- Issue 5 Pages 1185-
- Issue 4 Pages 871-
- Issue 3 Pages 577-
- Issue 2 Pages 281-
- Issue 1 Pages 1-
Predecessor
- Proceedings of the Physico-Mathematical Society of Japan. 3rd Series
- Proceedings of the Tokyo Mathematico-Physical Society. 2nd Series
- Tokyo Sugaku-Butsurigakukwai Kiji-Gaiyo
- Tokyo Sugaku-Butsurigakkwai Hokoku
- Tokyo Sugaku-Butsurigaku Kwai Kiji
- Tokyo Sugaku-Butsurigaku Kwai Kiji
- Tokyo Sugaku Kaisya Zasshi
Volume 33, Issue 3
Displaying 1-50 of 59 articles from this issue
-
Takashi Miyachi, Yoshio Akino, Kazuo Gomi, Asao Kusumegi, Masanori Mis ...1972 Volume 33 Issue 3 Pages 577-584
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSTotal absorption cross sections of photons in carbon, aluminium and titanium have been studied for photon energies at 250, 450, 700 and 1000 MeV. The bremsstrahlung beam produced by the 1.3 GeV electron synchrotron at the Institute for Nuclear Study was used as the source of high energy photons. The detection of high energy photons was made by a magnetic pair spectrometer. Experimental results agree with theoretical calculations on the total absorption cross section for photons within experimental errors.View full abstractDownload PDF (1036K) -
Y. Singh, J. Ram1972 Volume 33 Issue 3 Pages 585-592
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe equation of the Born-Green theory has been rederived by including the triplet potentials. It has been found that the resulting equation can be written in terms of effective pair potential defined as,
φe(i,j)=φ(i,j)−kTX(i,j),
where X(i,j) represents a sub-set of line irreducible diagrams defined by Casanova et al. (Mol. Phys. 18 (1970) 589). The nonadditive contributions to the third and fourth virial coefficients as obtained from the extended Born-Green theory have been discussed briefly.View full abstractDownload PDF (664K) -
Koichiro Matsuno1972 Volume 33 Issue 3 Pages 593-601
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSIt is investigated how hydrodynamic excitations affect the spectrum of various fluctuating quantities and response functions. In solid, the propagating hydrodynamic excitation in phonon gas, that is, second sound contributes to thermal conduction. The corresponding conductivity diverges if the lower limit of the momentum of the excitation decreases to zero. The density fluctuation in the hydrodynamic excitations is polydispersive and has the spectrum being proportional to the inverse frequency 1/f in the long wavelength limit. Such a fluctuation leads to the 1/f characteristic in current fluctuations which are observed only when static electric field is externally applied to conductors and semiconductors. The spectrum of 1/f characteristic in density fluctuations in hydrodynamic excitations is universal. The observation of the fluctuations in hydrodynamic excitations is possible only if a certain external field is applied.View full abstractDownload PDF (1064K) -
Masakatu Umehara, Tadao Kasuya1972 Volume 33 Issue 3 Pages 602-615
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSSelf-trapped antiferromagnetic polaron at T=0 K is studied for the localized moments of the classical spin limit. Nonlinear effect, which is most important for the magnetic polaron, is taken into account completely. It is found that when the band width is larger than the s–f exchange energy, the direction of the electron spin is nearly constant and then, for the exchange energy between the localized spins smaller than a critical value, a large magnetic polaron can exist in which the localized spin within the polaron is nearly completely saturated. When the former becomes smaller than the latter, however, the electron spin follows after the localized spins and then the magnetic polaron becomes unstable for the limit of the narrow band, contrary to the case of the usual lattice phonon polaron. The situation is, however, sensitive to the type of the magnetic ordering and the transfer matrix.View full abstractDownload PDF (1616K) -
Mitsuhiko Hayashi1972 Volume 33 Issue 3 Pages 616-628
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSDetailed theoretical study has been made of the nucleation model for wall motion in ferroelectrics. Kinetics of the wall motion has been worked out both analytically and by simulation. The wall velocity v is expressed in terms of nucleation rate I and sideways growth velocity us of nuclei on the wall by the formula v=cw0I or v=1.4c(usI)1⁄2 according as w02I⁄us>>1 or w02I⁄us<<1. (c: minimum advancement of wall, w0: width of critical nucleus.) The nucleation rate I and the sideways growth velocity us have been calculated on the basis of the theory of absolute reaction rates. It is shown that at very high fields two-dimensional nuclei can not nucleate, instead one-dimensional nuclei are formed, whose nucleation rate depends on field following a power law. From these results, general formulae for absolute wall velocities in various field ranges have been derived.View full abstractDownload PDF (1856K) -
Kêitsiro Aizu1972 Volume 33 Issue 3 Pages 629-634
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSFerroelectrics and ferroelastics such that the principal element of electric susceptibility tensor or elastic compliance tensor is almost independent of temperature in the prototypic phase down to the Curie point are considered in a general and unified way. For these ferroelectrics and ferroelastics it is essential that the free energy function describing them contains terms of coupling between the first power of electric polarization or mechanical strain and the N th power of the quantities motivating the phase transformation, and that the smallest, n, of the permissible values of N is >1. It is found out how n(>1) influences the curves of spontaneous polarization and electric susceptibility or of spontaneous strain and elastic compliance versus temperature around the Curie point.View full abstractDownload PDF (732K) -
Takehiko Hidaka1972 Volume 33 Issue 3 Pages 635-640
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe electron delocalization weight of the hydrogen bond in the KH2PO4 crystal is obtained. From the change of χijk(2) (second-order nonlinear polarizability) associated with the ferroelectric phase transition, the ionicity f1 of the P–O bond is determined. Then, the covalent electron distribution in O–H···H bonding is calculated. It is concluded that the electron delocalization of the hydrogen bond in KH2PO4 is very strong, which is very different from the results obtained by other authors using different methods.View full abstractDownload PDF (784K) -
R. E. Nettleton1972 Volume 33 Issue 3 Pages 641-646
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSWith a view to analyzing recent room temperature Raman measurements by Lavrencic et al. on KH2PO4, an earlier treatment of a generalized Kobayashi model is extended to the paraelectric phase. This model couples one optic phonon branch to each of four branches of the excitations determined by tunneling of protons. The frequencies of these coupled modes calculated by the equation-of-motion method are shown to obey sum rules which lead to the interpretation of four of the Raman lines as resulting from the coupling of modes of B2 and E symmetry, and one other B1 line as doubtful but possibly a peak in the second-order spectrum. The sum rules also provide upper and lower bounds on the tunneling integral Γ, which is estimated to be ∼314 cm−1. It is shown that if long-range interproton interactions are weak, the ferroelectric B2 mode should soften as T→Tc+, whereas if long-range interactions are strong, there may be little appreciable softening.View full abstractDownload PDF (932K) -
Masashi Iizumi1972 Volume 33 Issue 3 Pages 647-665
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe intensity of the one-phonon coherent scattering of thermal neutrons is analyzed to determine the phonon eigenvectors necessary for deciding the harmonic force constants uniquely. Corrections on the integrated intensities to obtain the inelastic structure factors (ISF) are given and the general properties of ISF are discussed. ISF of phonons which transform according to a certain row of an irreducible representation of the space group are analyzed en bloc and are interpreted with the symmetry coordinates which, combined with the phonon energies, determine the elements of the block-diagonalized dynamical matrix.
Measurements have been made for the three ∑3 branches of calcium fluoride and the analysis is presented as an example. Measured ISF, symmetry coordinates and elements of the dynamical matrix are compared with those calculated with the models. No definite conclusion can be reached concerning the forces due to the limited accuracy of the measurements.View full abstractDownload PDF (2520K) -
Yoji Isshiki, Mituru Hashimoto, Kenjiro Kambe1972 Volume 33 Issue 3 Pages 666-670
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSA study is made on magnetic properties of thin films of Mn1−xCrxSb(0≤x≤0.6) through ferromagnetic resonance. The films are deposited on plates of cover glass or rock salt to be 400 Å to 3000 Å in thickness. The spin wave resonance is observable at room temperature only when x≤0.5. All the values of exchange coupling constant A, g-factor g and stress field 3λσ⁄M decrease with the increase of x. Dependence of g and A on x are reasonably explicable on the basis of a canted spin structure where the spin axis lying within a ferromagnetic (001) layer is canted with that in the adjacent layers.View full abstractDownload PDF (784K) -
Haruo Saji1972 Volume 33 Issue 3 Pages 671-680
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSNuclear magnetic resonances (NMR) of Li7 and V51 have been observed in polycrystalline LiCuVO4 in the paramagnetic state in the temperature range between 77 K and 413 K. The resonance shifts were found to indicate that the presence of unpaired spin densities of 0.092±0.002% and 0.004±0.002% per Cu–O–V and Cu–O–Li bonds, respectively. Comparison of the calculated spin densities using an appropriate molecular orbital with the observed ones suggests about 0.1% mixing of vanadium 4s orbital with oxygen 2s and pσ ones. With these results, it can be concluded that strong antiferromagnetic superexchange interactions (J2) along Cu–O–V–O–Cu paths is responsible to the two-dimensional antiferromagnetism, which is stabilized by a weakly coupled conventional ferromagnetic interactions (J1) along Cu–O–Cu paths. The ratio J1⁄J2 was estimated to be 0.04 by means of Green function technique.View full abstractDownload PDF (1324K) -
Masayuki Tsukioka, Akiji Yamamoto, Hironao Kojima1972 Volume 33 Issue 3 Pages 681-686
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSElectron spin resonance in synthetic phenacite (Be2SiO4) single crystals doped with Cr2O3 is observed at about 77 K and 4.2 K at 9.5 GHz with gz=1.9929±0.008, gx=1.9505±0.0005 and gy=1.9581±0.0004 and the hyperfine coupling constant A for 53Cr=25.2±0.2 gauss. The ESR signal is enhanced considerably by X-ray irradiation (35 kV, 18 mA, 8 hr). It is proved that this spectrum is attributed to Cr5+ ion located either at the Be or at the Si sites.View full abstractDownload PDF (592K) -
Yoshihiro Kino, B. Lüthi, M. E. Mullen1972 Volume 33 Issue 3 Pages 687-697
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSResults of thermal expansion and sound velocity measurements are presented for the Nickel-Zinc-Chromite system (NixZn1−xCr2O4). It is found that for x>0.6 this system exhibits a cooperative Jahn-Teller phase transition which occurs at a temperature Ta higher than the magnetic phase transition at TN. Both transitions at Ta and TN are of first order. The temperature dependence of the soft mode c11–c12 could only be measured for T>Ta. From its temperature dependence, we conclude that the electronic state of the Ni2+ ion couples predominantly to the macroscopic strains. A comparison between our sound velocity data and the Kataoka-Kanamori theory gives only fair agreement for T>Ta. It is found that the low temperature magnetic phase transition influences the cooperative J-T-transition considerably.View full abstractDownload PDF (1248K) -
Noriaki Tsukada, Tsutomu Yabuzaki, Toru Ogawa1972 Volume 33 Issue 3 Pages 698-707
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSA theoretical and experimental study has been made of the effect of transverse optical pumping in the optical-rf double resonance of cesium atoms. The solution of Bloch type equations shows that the Hanle effect and new type resonances become notable in the weak magnetic field or for strong rf field, as the effect of the transverse pumping. The new type resonances appear in the unmodulated component and the components modulated at the first and the second harmonics of the applied rf frequency in the pumping light beam transmitted through the sample cell. It is predicted that the new type resonances are not only shifted but also broadened as the intensity of rf field increases. The shift, broadening and the intensity for observed new type resonances are in good agreement with the theoretical prediction.View full abstractDownload PDF (1080K) -
Sadae Yamaguchi, Makoto Hirabayashi1972 Volume 33 Issue 3 Pages 708-717
Published: September 05, 1972
Released on J-STAGE: May 29, 2007
JOURNAL RESTRICTED ACCESSCrystal structures of two hexagonal phases in Cu–Sb alloys have been studied by means of X-ray and electron diffraction as well as electron microscopy. A new long period superstructure with space group P63/mmc is found in the range 16–19 at.% Sb (ε phase), which is essentially an anti-phase modulation derived from the hexagonal ordered structure of the Ni3Sn (DO19) type. The super-period of atomic order in the close packed plane is nearly seven times the nearest neighbor distance and decreases with increasing e⁄a. The image of the super-period is directly observed with an 1 MV electron microscope. A similar long period superstructure is established for the neighboring phase (ε′) around 21 at.% Sb. The stabilization mechanism of the two superstructures is interpreted in terms of the interaction of the Fermi surface with the super-zone faces.View full abstractDownload PDF (2192K) -
Yukio Toyoda, Yoshikazu Hayashi1972 Volume 33 Issue 3 Pages 718-724
Published: September 05, 1972
Released on J-STAGE: May 29, 2007
JOURNAL RESTRICTED ACCESSThe electron spin resonance in phosphorus doped silicon belonging to the intermediate region of impurity conduction, was detected by resistivity change at 24 GHz microwave frequency. Two types of the resonance were observed. The one makes the resistivity increase, and the other makes the resistivity decrease at resonance. These two types of resonance are considered to be due to the electrons belonging to the relatively high and low concentration regions of inhomogeneously distributed impurities in the crystal. At the intermediate region of impurity conduction, these two regions are considered to coexist in a crystal. It is shown that the resonance of electrons belonging to these two regions, can separately be detected by the type of experiments described in the paper.View full abstractDownload PDF (904K) -
Nobuhiko Sawaki, Tetsuya Arizumi1972 Volume 33 Issue 3 Pages 725-729
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSDifferential conductance of tunnel diodes, prepared by alloying arsenic doped germanium, was measured at low temperatures (1.6∼30 K). Zero bias anomaly (Z. B. A) is a conductance maximum type, characteristic to the magnetic Kondo scattering. Using Nagaoka’s result the Kondo temperature Tk is determined; Tk=4.4±0.5 K for Nd=5×1018 cm−3 and 9.5±1.3 K for Nd=1.5×1019 cm−3. Introduction of Mn atoms into the junction increased the Z.B.A, indicating that Mn is magnetic in germanium, and the antiferromagnetic coupling constant J(<0) seems to be smaller than that for the localized magnetic moment regarded as the origin of the negative magnetoresistance in heavily doped germanium.View full abstractDownload PDF (620K) -
Meiro Chiba, Akira Hirai1972 Volume 33 Issue 3 Pages 730-738
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSElectron spin echo decay behaviours of the shallow trapped donor electrons in the phosphorus doped silicon at liquid helium temperatures have been studied. The spin echo signals were observed for the samples whose donor concentrations were less than 2.0×1017 cm−3. From the experimental date the region of the concentration has been divided into three. In each region has been observed the characteristic spin echo decay behaviour, which has been analyzed by using the stochastic model.View full abstractDownload PDF (1075K) -
Mitsuhiko Hayashi1972 Volume 33 Issue 3 Pages 739-742
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe switching rate of triglycine sulphate has been measured over a temperature range from 87 K to the room temperature. The temperature dependence of the activation field α is very similar to that of Ps3T−1 in agreement with the requirement of the nucleation model for the sidewise wall motion during switching, where Ps is the spontaneous polarization and T the temperature. It is shown, using Wieder’s date on colemanite (J. appl. Phys. 31, 180, 1960), that α varies with temperature as Ps3T−1 also for this ferroelectric.View full abstractDownload PDF (440K) -
Joji Kinoshita1972 Volume 33 Issue 3 Pages 743-746
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSStress dependence of resistivity and Hall coefficient of Phosphorus doped n-type silicon in metallic impurity conduction region has been studied at three temperatures 4.2 K, 77 K and 300 K. It is shown that mobility or collision time derived from the date at 4.2 K by assuming a rigid band model decreases with increasing kinetic energy of electrons contrary to the ordinary energy dependence of mobility due to the scattering by charged impurities. This fact suggests that the charged carrier is scattered by the density fluctuation of impurities rather than by individual impurity potentials.View full abstractDownload PDF (476K) -
Abhai Mansingh, Koon O. Lim1972 Volume 33 Issue 3 Pages 747-749
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe reported date of the dielectric constant and loss in the paraelectric phase of order-disorder ferroelectrics are reanalysed. The wide distribution of relaxation times reported in some ferroelectric seems to be an indication of the uncertainties in the dielectric loss measurements rather than a polydispersive system. It is shown that qualitatively a monodispersive process consistent with Mason’s model is adequate to explain the dielectric dispersion in almost all the order-disorder ferroelectrics studied so far.View full abstractDownload PDF (356K) -
Osamu Aita, Ichiro Nagakura, Takasi Sagawa1972 Volume 33 Issue 3 Pages 750-753
Published: September 05, 1972
Released on J-STAGE: May 29, 2007
JOURNAL RESTRICTED ACCESSIn the course of the soft X-ray emission measurements of TlCl, the low-in-tensity emission band extended from 187.7 eV to 195.9 eV is observed newly on the high energy side of the Cl−Lη,l emission line. This band is assigned to the valence band emission spectrum of TlCl by comparing with the X-ray photoelectron spectrum and also with the UV and Cl−L2,3 absorption spectra. The band has two maxima separated by about 3 eV, which corresponds well to the energy separation between two s-type branches in the valence band given by recent calculations.View full abstractDownload PDF (472K) -
Ichiro Nagakura, Takehiko Ishii, Takasi Sagawa1972 Volume 33 Issue 3 Pages 754-760
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSX-ray photoelectron spectra have been measured on in situ evaporated films of yttrium, lanthanum, and cerium by the use of an electron energy analyser of the parallel plate electrode type. The binding energies of electronic core levels have been determined. Results are compared with the values cited in typical X-ray atomic energy tables. The binding energies of the M4(3d3⁄2) and M5(3d5⁄2) levels of lanthanum and cerium as well as the N2(4p1⁄2) and N3(4p3⁄2) levels of lanthanum are all found to be split into two components. Possible origins of the splitting are discussed, although no definite conclusion is drawn out.View full abstractDownload PDF (860K) -
Shigeyuki Morimoto1972 Volume 33 Issue 3 Pages 761-768
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSContainment of gun-produced plasma in stabilized mirror fields is studied. Quadrupole and quadrupole-cusp fields are produced by two and four inner conductors, respectively. The plasma parameters are n=109−1010 cm−3, Te=1–5 eV, Ti (in the mirror quadrupole) \gtrsim10 eV. Flute instability observed in the mirror field is eliminated by superposing the quadrupole field. Superposition of the quadrupole-cusp field does not suppress the instability satisfactorily, but when a wall is provided near the stabilizing winding as in the usual min-B mirror machine the plasma is well stabilized. These phenomena are explained by the stability integral ∫(1⁄B)dl with suitable integral limits. The mirror quadrupole field whose lines of force do not contact with the chamber wall has a good stability integral and is promising as a mirror configuration.View full abstractDownload PDF (1124K) -
Takayasu Tanaka1972 Volume 33 Issue 3 Pages 769-781
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSA new method is presented to investigate the nonlinear wave kinetics in a plasma. While most previous theories assume that the wave-amplitudes and other average quantities vary very little within the duration time τ of the wave-wave interaction, the present theory is valid under much less restrictive condition that their variation is small in the oscillation periods of the waves under consideration. The method consists in a systematic use of the interaction representation; the unique point of the present method lies in the introduction of many time variables in order to describe phenomena with many physical quantities in a simple manner. The method is applied to the investigation of quasi-linear and weakly turbulent evolution of the system. Several new features, including the amplitude oscillation discussed in a previous report, are derived for the case where the characteristic timescale of the wave amplitude is short compared with τ.View full abstractDownload PDF (1192K) -
Tsuneo Amano, Masahiro Wakatani, Masami Watanabe1972 Volume 33 Issue 3 Pages 782-788
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe stability of a current-carrying plasma in a strong longitudinal magnetic field, such as in Tokamak type devices, against the MHD and tearing instability is investigated. The growth rates of the MHD instability are computed numerically as eigen-values of the equation of motion, for several current distributions. The influence of the position of the conducting shell on the stability is also investigated.View full abstractDownload PDF (728K) -
Katsuya Shimizu, Yoshi H. Ichikawa1972 Volume 33 Issue 3 Pages 789-792
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSAutomodulation of ion oscillation mode is investigated by applying the reductive perturbation theory to the fluid equation of a plasma composed of cold ions and isothermal electrons. It is shown that an oscillatory solution of the Korteweg-de Vries equation in the small wave number region satisfies a small wave number limit of the nonlinear Schrödinger type equation obtained in the finite wave number region.View full abstractDownload PDF (428K) -
Kanji Abe1972 Volume 33 Issue 3 Pages 793-796
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSNumerical computations for collisionless shock waves are carried out by using a simple model which retains the primitive but essential features of hot plasma. It is supposed that the direction of propagation of the wave is parallel or slightly oblique to the magnetic field ahead of the wave. For the case of low temperature and exactly parallel propagation, a train of solitary waves exists, and each of the solitary waves has a shape essentially identical with that of the solitary wave described by Saffman. The train of solitary waves, however, abruptly changes into a shock wave, when the direction of propagation becomes slightly oblique to the magnetic field. When the temperature is relatively high, only shock waves are found to exist for the case of exactly parallel as well as slightly oblique propagation.View full abstractDownload PDF (508K) -
Masaki Takashima1972 Volume 33 Issue 3 Pages 797-804
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe stability of a rotating layer of a viscoelastic fluid (Oldroyd fluid) heated from below is considered, on the assumption that both bounding surfaces are free. Linear stability theory is used to derive an eigenvalue system of eighth order, and an exact eigenvalue equation for a neutral instability is obtained. Critical Rayleigh numbers, wave numbers, and frequencies for the onset of instability are presented graphically as functions of the Taylor number for various values of the Prandtl number and the elastic parameters. It is shown that the effects which arise in consequence of the coupling between the Coriolis force and the viscoelastic behaviour of a fluid are exceedingly complicated.View full abstractDownload PDF (700K) -
Hidenori Hasimoto, Hiroaki Ono1972 Volume 33 Issue 3 Pages 805-811
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSSlow modulation of gravity waves on water layer with uniform depth is investigated by using singular perturbation methods. It is found, to the lowest order of perturbation, that the complicated system of equations governing such modulation can be reduced to a simple nonlinear Schrödinger equation. A nonlinear plane wave solution to this equation is found to correspond to the so-called Stokes wave. The linear stability of this plane wave solution is essentially determined by the sign of the product of two coefficients in this equation, yielding Benjamin and Whitham’s criterion. The same equation is found to give a weak cnoidal wave derived from the Korteweg-de Vries equation in the shallow-water limit.View full abstractDownload PDF (824K) -
Akira Yoshizawa1972 Volume 33 Issue 3 Pages 812-816
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe basic flow structure due to the impulsive motion of a semi-infinite flat plate is established for a small parameter s(=(U2t⁄ν)1⁄2). The asymptotic solution of the Navier-Stokes equations is obtained in the neighborhood of the leading edge of the plate by the Stokes-type successive approximation. It is shown that some of undetermined constants in the present solution can be determined by a matching procedure, if the unsteady Stokes solution for this problem, in particular the shear stress on the plate, is obtained asymptotically near the leading edge.View full abstractDownload PDF (512K) -
Kinzo Hida1972 Volume 33 Issue 3 Pages 817-827
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSBased on the equation of continuity, a cumulative number function of cars, ψ, which is analogous to a stream function in fluid mechanics, is defined as follows; q=∂ψ⁄∂t, k=−∂ψ⁄∂x, where q and k stand for the flow and the car density, respectively. Various functional assumptions between q and k, yield various fundamental equations for ψ. The analytical solutions subject to the initial or the boundary condition are given for the following cass: (i) q=4k(1−k) with k=κH(x0−x) at t=0, (ii) q=4k(1−k) with k=ε(1+cosαx) at t=0, (iii) q=4k(1−k) with q=a+bt at x=0, (iv) q=4k(1−k)(1−βx) with k=k0 at t=0.
It is shown that both expansion and compression shocks are possible and a few general relations for shock waves are obtained. Finally, extension to an axisymmetrical case is briefly discussed with a simple example of a constant density at the initial moment.View full abstractDownload PDF (1324K) -
Sinzi Kuwabara1972 Volume 33 Issue 3 Pages 828-837
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe stability problems of the plane Couette and the Hagen-Poiseuille flows are studied. The nonlinear integro-differential equations which govern the mean and disturbance velocities are solved by making use of orthogonal function expansion and the Galerkin method. The stability characteristics are expressed as the equilibrium surface in a three-dimentional space of the Reynolds number, the wave number, and the disturbance energy. The critical Reynolds number is found to be 1.8105×105 (based on the relative velocity of boundary walls and the distance of walls) for the Couette flow and 1212.9 (based on the mean velocity and the diameter of the pipe) for the Hagen-Poiseuille flow.View full abstractDownload PDF (1044K) -
S. N. Sen, R. Ghosh1972 Volume 33 Issue 3 Pages 838-843
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSFrom the measurement of the radio frequency conductivity of two opalescent binary mixtures (nitrobenzene+n. hexane and aniline+cyclohexane) at a frequency of 400 kc/sec and also at a higher temperature at which the solution becomes clear, the relaxation time and the corresponding radius of the rotating unit under the high frequency field has been calculated. The results do not indicate the formation of clusters of molecules as proposed by Krishnan to explain the depolarization of scattered light in the critical opalescent stage. From the ratio of relaxation time, when the mixture is opalescent and when it is not, it has been observed that there is a sharp rise of viscosity at the critical stage and the theory of Fixman has been utilized to calculate the value of internal friction. An alternative method has been suggested to calculate the value of the internal friction which agrees well with the value calculated from Fixman’s theory. It has therefore been concluded that as assumed by Fixman, there is an intense density fluctuation in the critical stage and return to normal density fluctuation through diffusion dissipates energy which appears as a sharp increase of viscosity.View full abstractDownload PDF (688K) -
Kailash Chandra1972 Volume 33 Issue 3 Pages 844-846
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSStability of a heterogeneous layer of an inviscid incompressible fluid confined between two rigid horizontal parallel planes heated uniformly from above is discussed. The basic nonhomogeneity of the fluid which depends on the vertical coordinate (z) is assumed to be of the form ρ=ρ0[1+δz], δ being positive and of the order of αβ, where α is the coefficient of volume expansion of the fluid and β is the uniform non-adverse temperature gradient which is maintained. The necessary and sufficient condition for the stability of the system is found that (δ−αβ) should be negative or equal to zero. Bound on the square of the growth rate of unstable modes is found to be g(δ−αβ), where g is the acceleration due to gravity.View full abstractDownload PDF (248K) -
S. Nana Rao, K. Subba Rao1972 Volume 33 Issue 3 Pages 847
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSDownload PDF (128K) -
Humiaki Kirihata, Saburo Endo, Taizo Irie1972 Volume 33 Issue 3 Pages 848
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSDownload PDF (128K) -
Yoshikazu Miyahara, Shuichi Iida1972 Volume 33 Issue 3 Pages 849
Published: September 05, 1972
Released on J-STAGE: May 29, 2007
JOURNAL RESTRICTED ACCESSDownload PDF (156K) -
Junji Mada, Shuichi Iida1972 Volume 33 Issue 3 Pages 850
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSDownload PDF (96K) -
Masaaki Kontani, Tatsumi Hioki, Yoshika Masuda1972 Volume 33 Issue 3 Pages 851
Published: September 05, 1972
Released on J-STAGE: May 29, 2007
JOURNAL RESTRICTED ACCESSDownload PDF (128K) -
Akio Mishima, Hironobu Fujii, Tetsuhiko Okamoto, Eiji Tatsumoto1972 Volume 33 Issue 3 Pages 852
Published: September 05, 1972
Released on J-STAGE: May 29, 2007
JOURNAL RESTRICTED ACCESSDownload PDF (124K) -
Noboru Schibuya, Nobuhiko Kunitomi1972 Volume 33 Issue 3 Pages 853
Published: September 05, 1972
Released on J-STAGE: May 29, 2007
JOURNAL RESTRICTED ACCESSDownload PDF (140K) -
Takashi Ito, Hironobu Fujii, Tetsuhiko Okamoto, Eiji Tatsumoto1972 Volume 33 Issue 3 Pages 854
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSDownload PDF (144K) -
Hironobu Fujii, Hideki Tani, Tetsuhiko Okamoto, Eiji Tatsumoto1972 Volume 33 Issue 3 Pages 855
Published: September 05, 1972
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSDownload PDF (132K) -
Kailash Chandra1972 Volume 33 Issue 3 Pages 856
Published: September 05, 1972
Released on J-STAGE: May 29, 2007
JOURNAL RESTRICTED ACCESSDownload PDF (92K) -
Takashi Onozuka, Sadae Yamaguchi, Makoto Hirabayashi, Tokuo Wakiyama1972 Volume 33 Issue 3 Pages 857
Published: September 05, 1972
Released on J-STAGE: May 29, 2007
JOURNAL RESTRICTED ACCESSDownload PDF (324K) -
Naoaki Yoshida, Junichi Hatakeyama, Michio Kiritani, Fransisco Eiichi ...1972 Volume 33 Issue 3 Pages 858
Published: September 05, 1972
Released on J-STAGE: May 29, 2007
JOURNAL RESTRICTED ACCESSDownload PDF (268K) -
Yoshimi Tsuchiya, Hideo Segawa, Hiroyuki Takagi, Tatsuyuki Kawakubo1972 Volume 33 Issue 3 Pages 859
Published: September 05, 1972
Released on J-STAGE: May 29, 2007
JOURNAL RESTRICTED ACCESSDownload PDF (152K) -
Ikuo Suzuki, Masaki Maeda, Ryuji Abe1972 Volume 33 Issue 3 Pages 860
Published: September 05, 1972
Released on J-STAGE: May 29, 2007
JOURNAL RESTRICTED ACCESSDownload PDF (228K) -
Hiroshi Kameyama, Yoshihiro Ishibashi, Yutaka Takagi1972 Volume 33 Issue 3 Pages 861
Published: September 05, 1972
Released on J-STAGE: May 29, 2007
JOURNAL RESTRICTED ACCESSDownload PDF (128K)