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- Proceedings of the Physico-Mathematical Society of Japan. 3rd Series
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Volume 51, Issue 5
Displaying 51-65 of 65 articles from this issue
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Kiyotaka Hamamatsu, Tsuguhiro Watanabe, Toshiro Ohnuma, Kyoji Nishikaw ...1982 Volume 51 Issue 5 Pages 1597-1605
Published: May 15, 1982
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSA computer code is developed to solve the electromagnetic dispersion relation of spatially uniform multi-component plasmas in a uniform magnetic field. For each particle species, a temperature anisotropy and a drift velocity along the magnetic line of force are taken into account on the basis of the Vlasov model. This code is useful for the study of wave propagation from a localized exciter and for the study of wave instabilities.View full abstractDownload PDF (836K) -
Ken-Ichi Nishikawa, Kimitaka Itoh, Takashi Tuda, Yoshinosuke Terashima1982 Volume 51 Issue 5 Pages 1606-1612
Published: May 15, 1982
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSA set of coupled eigenmode equations for drift and Alfvén modes in a current-carrying stab plasma with magnetic shear is studied numerically. The modes with odd-φ and even-A⁄⁄ parity are investigated where φ and A⁄⁄ are the electrostatic potential and the parallel component of the vector potential of the perturbations, respectively. The shear Alfvén mode of this parity is marginally stable for the high β value, and the drift mode of this parity is more stable than that with even-φ and odd-A⁄⁄ parity. Electron-ion collisions are found to stabilize both the modes. The current can not make both the shear Alfvén mode and the drift mode unstable. The former remains marginally stable and may contribute to the anomalous transport.View full abstractDownload PDF (676K) -
Shizuyo Hashimoto1982 Volume 51 Issue 5 Pages 1613-1619
Published: May 15, 1982
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe shifts of the ionized helium lines λ4686A (n=4→3) and λ3203A (n=5→3) were measured relative to the centers of gravity of the fine structures of these lines. A capillary tube, through which condensed discharge was passed, was used as a plasma light source. Side-on observation enabled one to obtain optically thin plasma. In each case the center of gravity of the fine structure lines excited by a liquid-nitrogen-cooled hollow cathode discharge was assumed to be the unperturbed position. The measured red shifts of the He II lines λ4686A and λ3203A are −0.041±0.023 cm−1 and −1.3×0.3 cm−1 respectively, under the plasma condition of Ne=(1.6×0.4)×1016 cm−3, Te=(2.2±0.3)×104 K, and Ne=(1.2±0.3)×1016 cm−3, Te=(1.3±0.3)×104 K respectively. The present results are consistent with those of Murakawa but not with those of Pittman et al.View full abstractDownload PDF (1744K) -
Wen-Jia Chen, Norio Kawai, Takaichi Kawamura, Tetsuo Maegauchi, Hajime ...1982 Volume 51 Issue 5 Pages 1620-1629
Published: May 15, 1982
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSTransition matrices and differential cross sections for electron-electron bremsstrahlung in relativistic energy region are calculated by the lowest-order perturbation theory of quantum electrodynamics. The bremsstrahlung spectra and emission rates are evaluated for relativistic Maxwellian plasma. The results are discussed in comparison with those obtained by non-relativistic and extreme-relativistic approximations and it is noted that the relativistic effect becomes appreciable above the order of 10 keV for the electron temperature.View full abstractDownload PDF (1008K) -
Masayoshi Taguchi1982 Volume 51 Issue 5 Pages 1630-1638
Published: May 15, 1982
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe neoclassical transport coefficients from the plateau regime to the Pfirsch-Schlüter regime are calculated by using the linearized full Fokker-Planck collision operator. The inverse aspect ratio is assumed to be small and the mass ratio of the electron to the ion is much less than unity. The lowest-order terms of these ratios are retained in this calculation. The results obtained give correction to those of Rawls et al. who employed a model collision operator. In the Pfirsch-Schlüter regime, the results of this paper agree fairly well with those given by Hazeltine and Hinton.View full abstractDownload PDF (876K) -
Kimitaka Itoh, Sanae-Inoue Itoh1982 Volume 51 Issue 5 Pages 1639-1643
Published: May 15, 1982
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSStability of the kinetic drift-tearing mode with a short wave length is investigated employing an energy-dependent electron-ion collision model. The electron temperature gradient can destabilize the mode in the range of the collisionality 1\lesssimν⁄ω*\lesssim20 (ν: collision frequency, ω*: drift frequency). This instability appears in a parameter range of intermediate β-values, and the mode is stabilized by the magnetic shear when β-value becomes O(1%) (β: plasma pressure/magnetic pressure).View full abstractDownload PDF (564K) -
Shunjiro Shinohara, Isao Ochiai, Shunji Tsuji, Hiroshi Toyama1982 Volume 51 Issue 5 Pages 1644-1646
Published: May 15, 1982
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe relation between the plasma properties and elongation ratio is studied in a non-circular tokamak in the case of the safety factor qa∼2. With the increase of elongation ratio κ (1.3→1.5), the plasma current increases from 19.5 to 25 kA, the loop voltage decreases from 4 to 3 V, the mean current density and the electron temperature increase slightly (∼10%), while the relative amplitude and the poloidal dependence of Mirnov oscillations (m=2 mode) change little.View full abstractDownload PDF (320K) -
Toshiyuki Gotoh, Sinzi Kuwabara1982 Volume 51 Issue 5 Pages 1647-1654
Published: May 15, 1982
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe velocity field of the Taylor-Couette flow is expanded in terms of a complete set of solenoidal vector fuctions to analyse the nonlinear stability by the use of the Galerkin method. In numerical calculation, the 24 modes of this expansion are retained. It is found that the bifurcations of the steady solution occur for some Reynolds number range and a hysteresis phenomenon in agreement with experimental findings is observed.View full abstractDownload PDF (708K) -
Shigeo Kida1982 Volume 51 Issue 5 Pages 1655-1662
Published: May 15, 1982
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSStability of a steady vortex filament governed by the localized induction equation is investigated by a linear stability theory. It is shown numerically that the solitary-wave-type unclosed filament and some kinds of closed filaments are neutrally stable while all the other closed and unclosed filaments are unstable. Correspondingly, the envelope solitary wave of the nonlinear Schrödinger equation is neutrally stable and all the other travelling wave solutions are unstable.View full abstractDownload PDF (896K) -
Hideo Yamada, Toshimitsu Kohsaka, Haruo Yamabe, Tatsuya Matsui1982 Volume 51 Issue 5 Pages 1663-1670
Published: May 15, 1982
Released on J-STAGE: May 29, 2007
JOURNAL RESTRICTED ACCESSExperimental studies were carried out on the flowfield produced by a vortex ring approaching a plane wall perpendicular to its axis of symmetry, using smoke visualization technique. The mechanism of rebound of a vortex ring from the wall is shown to be related to generation of a shear layer separated from the wall and its subsequent development. The effects of Reynolds numbers on the trajectory of the core center of a vortex ring were also examined. Growth of the separated shear layer and generation of the secondary vortex ring due to vorticity concentration in the separated shear layer were visualized in detail.View full abstractDownload PDF (1324K) -
Hiroshi Tokunaga1982 Volume 51 Issue 5 Pages 1671-1677
Published: May 15, 1982
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe second order approximation in the reductive perturbation method has been investigated for weak nonlinear waves in two-dimensional supersonic flow with viscosity and heat-conductivity. As a result it is found that the second order equation is reduced to the linearized Burgers equation with inhomogeneous terms. The renormalization of secular term included in inhomogeneous terms is carried out for the case of a weak oblique shock by making use of the method of Kodama & Taniuti. It is shown that the corrected inclination of the shock front to the uniform flow coincides with the expression obtained from the Rankine-Hugoniot relation under the weak shock approximation. The solution up to the second order is obtained analytically and it has the form, for special case, like Becker’s solution under the same approximation.View full abstractDownload PDF (612K) -
Masayoshi Tajiri, Shunji Kawamoto1982 Volume 51 Issue 5 Pages 1678-1681
Published: May 15, 1982
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSSimilarity solutions of the KdV and cylindrical KdV equations are studied by means of Lie’s method of infinitesimal transformation groups. It is shown that the KdV equation is reduced to the Painlevé transcendental equation of the first or second kind. The similarity solutions of cylindrical KdV equation also satisfy the first or second Painlevé equation, and a soliton-like solution is obtained.View full abstractDownload PDF (428K) -
Kazuaki Narita1982 Volume 51 Issue 5 Pages 1682-1685
Published: May 15, 1982
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSA new type of differential-difference equation is proposed as an extension of Volterra equation. One- and 2-soliton solutions to this equation is obtained by using Hirota’s method. N-soliton solution is also conjectured.View full abstractDownload PDF (320K) -
Dieter Jäger1982 Volume 51 Issue 5 Pages 1686-1693
Published: May 15, 1982
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSNonlinear, dispersive wave propagation along electrical transmission lines is studied. From the equivalent circuits of those experimental models nonlinear evolution equations are derived. Thus suitable electrical circuits should be useful to study solutions of selected wave equations, which is confirmed by experiments. For that purpose, a transmission line with small quadratic nonlinearity and weak cubic dispersion is considered to yield the wellknown characteristics of the Korteweg-de Vries equation (KdV equation). In addition, typical lossy terms lead to expanded equations, the KdV-Burgers equation for example. Recent results of experimental investigations on soliton development and interaction are presented. Main emphasis is laid upon a throughout quantitative comparison with theory. The influence of dissipation finally restricts the use of the conservative KdV equation. The limitations due to typical losses of the experimental circuit are discussed.View full abstractDownload PDF (1008K) -
Takeshi Kambara, Naoyuki Sasaki1982 Volume 51 Issue 5 Pages 1694-1701
Published: May 15, 1982
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe cooperative (Remark: Graphics omitted.) transitions including spin state changes in iron compounds are studied on the basis of the ligand field theory by using the model in which the coupling of the iron ion with the intramolecular distortions and the intermoleculer coupling between the molecular distortions are taken into account. The various types of thermally induced transitions between the Fe(II) high-spin 5T2g, the Fe(II) low-spin 1Al1g, the Fe(III) high-spin 6A1g, and the Fe(III) low-spin 2T2g states are possible depending on both the relative energy position of these states in the undistorted phase and the coupling strength.View full abstractDownload PDF (836K)