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- Proceedings of the Physico-Mathematical Society of Japan. 3rd Series
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- Tokyo Sugaku-Butsurigakukwai Kiji-Gaiyo
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Volume 50, Issue 5
Displaying 51-64 of 64 articles from this issue
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J. H. Misguich, R. Balescu1981 Volume 50 Issue 5 Pages 1706-1715
Published: May 15, 1981
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe complete quasilinear equation is used to describe distribution functions and spatial diffusion of charged particles across a straight magnetic field, due to electrostatic fluctuations. The Non-Markovian terms in the quasilinear equation appear to be important to recover the Ichimaru-Rosenbluth result originally deduced from trajectory calculation of guiding centers. Additional finite Larmor radius contributions can however be of the same order for present Tokamak magnetic fields, when parallel electric fields are present in the turbulent spectrum.View full abstractDownload PDF (1032K) -
Mutsuo Takai, Hidenori Akiyama, Susumu Takeda1981 Volume 50 Issue 5 Pages 1716-1722
Published: May 15, 1981
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe drift-cyclotron loss-cone (DCLC) instability is driven by both the loss-cone velosity distribution of ions and the density gradient.
The instability is most dangerous for MHD stabilized mirror plasma confinements. We investigate the stabilization mechanism by the high frequency field, which suppresses the end loss. The Fokker-Planck equation is numerically computed under the boundary conditions for the end stopper effect. The time varying distribution function deduced is used to calculate the dispersion equation of DCLC instability. It is estimated that the minimum energy of h.f. field to stabilize is 60% of the ion thermal energy.View full abstractDownload PDF (636K) -
Heiji Sanuki, Tsuguhiro Watanabe, Toshio Ohnuma1981 Volume 50 Issue 5 Pages 1723-1725
Published: May 15, 1981
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe ray trajectory of the thermal mode is investigated numerically in an inhomogeneous magnetoplasma. The new type of ray trajectory associated with the thermal mode is discussed.View full abstractDownload PDF (384K) -
Keiji Tani, Masafumi Azumi, Hiroshi Kishimoto, Sanae Tamura1981 Volume 50 Issue 5 Pages 1726-1737
Published: May 15, 1981
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSComputational studies have been performed for fast ion behavior in a Tokamak with toroidal field ripple. Collisionless behavior of fast ions relating to ripple-trapping, ripple-detrapping and banana drift is of essential importance in fast ion loss processes in case of quasi-perpendicular neutral beam injection. The collisionless ripple trapping and ripple-enhanced banana drift produce a large number of loss bands in velocity space and enhance the loss of fast ions. The fast ion loss associated with ripple can be categorized into two groups; ripple-trapped loss and banana-drift loss. The amount of loss particles due to the respective loss process is significantly influenced by the effect of finite banana size of fast ions. The ripple-trapped loss particles are localized in a specific region on the first wall surface.View full abstractDownload PDF (1512K) -
Masaaki Watanabe, Yoichi Serizawa, Heiji Sanuki, Tsuguhiro Watanabe1981 Volume 50 Issue 5 Pages 1738-1744
Published: May 15, 1981
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe kernel of the integral equation in the wavenumber space for the electromagnetic wave in the nonuniform and magnetized plasma is derived by solving the Vlasov equation, where the zeroth-order velocity distribution function is assumed to be anisotropic Maxwellian with Gaussian density distribution.View full abstractDownload PDF (532K) -
Tsuguhiro Watanabe, Masaaki Watanabe, Heiji Sanuki, Kazuhiro Iino, Kyo ...1981 Volume 50 Issue 5 Pages 1745-1754
Published: May 15, 1981
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSA new method for eigenmode analysis of high mode number electromagnetic waves in an inhomogeneous medium is presented. The method is based on an integral equation in the wavenumber space and is applicable to the case where kinetic effects such as finite gyroradius effects, Landau and cyclotron resonance effects in high temperature magnetically confined plasmas are important. A quantization condition useful to numerically determine the eigenfrequencies is derived which is different from the conventional Bohr-Sommerfeld condition because of the electromagnetic nature of the wave. A systematic computational scheme of the quantization condition is presented and is shown to be highly efficient by a simple example.View full abstractDownload PDF (908K) -
Haruyuki Irié1981 Volume 50 Issue 5 Pages 1755-1764
Published: May 15, 1981
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSKinetic formulation for linear mode analysis of low frequency shear Alfvén mode in low-β plasma is presented. Slab geometry is used with density, temperature and flow velocity varying in the x-direction, and the magnetic shear produced by parallel current is assumed to be sufficiently weak. Integral equation representation in wavenumber space is used in order to take full account of the finite gyroradius and Landau resonance effects. The general formulas derived are applied to two long wavelength instabilities by reducing integral equations to differential equations in real space; one is the localized drift-Alfvén mode instability caused by current density and the other the Alfvén mode instability due to ion velocity shear. For the former case, our analysis shows necessity of kinetic effects for instability to occur; for the latter, the lowest order finite gyroradius effect on the stability criterion is investigated.View full abstractDownload PDF (1112K) -
Jiro Mizushima, Tomomasa Tatsumi1981 Volume 50 Issue 5 Pages 1765-1773
Published: May 15, 1981
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSBurgers turbulence is investigated using the modified zero-fourth cumulant approximation which was employed by Tatsumi et al. (J. Fluid Mech. 85 (1978) 97) for incompressible isotropic turbulence. The dynamical equation for the energy spectrum due to this approximation is solved numerically for two typical initial conditions. The energy spectrum is shown to satisfy each similarity law in the energy-containing and the energy-dissipation ranges respectively. The spectrum assumes the k−2 form, k being the wavenumber, at wavenumbers just beyond the energy-containing range and the exp (−σk) form, σ being a constant, in the far-dissipation range. Statistical quantities such as the energy, the skewness of the velocity derivative, the microscale and the microscale Reynolds number are derived from the data of the energy spectrum. Comparative discussions are made with the results due to shock dynamics and numerical experiments.View full abstractDownload PDF (1032K) -
Noriko Saitoh, Shinsuke Watanabe1981 Volume 50 Issue 5 Pages 1774-1784
Published: May 15, 1981
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSPropagation of a soliton in a weakly dissipative Toda lattice is analyzed by the method of conservation law. In this analysis, a strong connection between the Toda lattice and the K-dV equation is emphasized. The damping of a soliton obtained in the present method agrees well with the numerical solution of a dissipative Toda lattice.View full abstractDownload PDF (964K) -
Shigeo Kida, Masako Sugihara1981 Volume 50 Issue 5 Pages 1785-1791
Published: May 15, 1981
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe equilibrium properties in the inviscid limit of the Burgers turbulence driven by a random external force are studied numerically. The numerical calculation is performed by use of the method or characteristics supplemented by the dynamics of shock-fronts, which is more accurate and effective than the finite difference methods. Energy is supplied to the largest-scale motion of the velocity field by the external force. The existence of the equilibrium state of the velocity field is confirmed and the equilibrium values of various statistical quantities, such as the number of shock-fronts, the energy of the velocity field, the velocity correlation function and the energy spectrum function, are obtained. The k−2 energy spectral form is observed throughout beyond the characteristic wavenumber of the external force.View full abstractDownload PDF (776K) -
Akira Yoshizawa1981 Volume 50 Issue 5 Pages 1792-1798
Published: May 15, 1981
Released on J-STAGE: May 29, 2007
JOURNAL RESTRICTED ACCESSThe paper proposes a statistical construction of the Reynolds-stress closure model which is frequently used, as well as the large-eddy simulation, in the investigation of real turbulence. Production-, redistribution- and diffusion terms in the Reynolds-stress transport equation are evaluated from a general theory for the inhomogeneous turbulence with arbitrary mean flows (A. Yoshizawa: J. Phys. Soc. Jpn. 46 (1979) 669 and 47 (1979) 1665). Using the result, transport equations are derived for the turbulent energy and the squared virtual deviatoric tensor, where the virtual deviatoric tensor is defined by the product of the eddy viscosity and the rate-of-strain tensor of mean velocity. These two equations are combined with the equation for mean flow to lead to a Reynolds-stress closure medel with no empirical information.View full abstractDownload PDF (808K) -
Yoshi H. Ichikawa, Kimiaki Konno, Miki Wadati1981 Volume 50 Issue 5 Pages 1799-1802
Published: May 15, 1981
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSNonlinear transverse oscillation of elastic beam under end-thrust has been examined with full account of the rigorous nonlinear relation of curvature and deformation of elastic beam. When the beam is subjected to tension, the derived equation is shown to be reduced to one of the new integrable evolution equations discovered by us. Since integration of the derived equation by the inverse scattering method poses itself new problems, stationary solutions have been examined to provide basic informations for soliton solutions. A singular solitary wave solution has been obtained as a limiting case of stationary periodic solutions of the reduced nonlinear evolution equation.View full abstractDownload PDF (400K) -
Kiyosi Motida1981 Volume 50 Issue 5 Pages 1803
Published: May 15, 1981
Released on J-STAGE: May 29, 2007
JOURNAL RESTRICTED ACCESSDownload PDF (84K) -
Masaru Kasahara, Itaru Tatsuzaki1981 Volume 50 Issue 5 Pages 1804
Published: May 15, 1981
Released on J-STAGE: May 29, 2007
JOURNAL RESTRICTED ACCESSDownload PDF (20K)