Analysis of the Relaxation Process Using Nonrelativistic Kinetic Equation

被引：2
|
作者：
Takamoto, Makoto [1 ]
Inutsuxa, Shu-ichiro [2 ]
机构：
[1] Kyoto Univ, Dept Phys, Kyoto 6068502, Japan
[2] Nagoya Univ, Dept Phys, Nagoya, Aichi 4648602, Japan
来源：
PROGRESS OF THEORETICAL PHYSICS | 2010年 / 123卷 / 05期
关键词：
GAS; PROPAGATION; SPHERE; SOUND;
D O I：
10.1143/PTP.123.903
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the linearized kinetic equation of relaxation model proposed by Bhatnagar, Gross and Krook [P. L. Bhatnagar, E. P. Gross and M. Krook, Phys. Rev. 94 (1954), 511] (also called BGK model) and solve the dispersion relation. Using the solution of the dispersion relation, we analyze the relaxation of the macroscopic mode and kinetic mode. Since the BGK model is not based on the expansion in the mean free path in contrast to the Chapman-Enskog expansion, the solution can describe the accurate relaxation of initial disturbance with any wavelength. This nonrelativistic analysis gives suggestions for our next work on the relativistic analysis of relaxation.
引用
收藏
页码：903 / 920
页数：18
相关论文
共 50 条
  • [1] Nonrelativistic transport theory from vorticity dependent quantum kinetic equation
    Dayi, Omer F.
    Gurleyen, S. Efe
    PHYSICAL REVIEW D, 2022, 106 (04)
  • [2] KINETIC-ANALYSIS OF CONTRACTION RELAXATION PROCESS OF SMOOTH MUSCLES
    KOSTERIN, SA
    BURDYGA, FV
    BIOFIZIKA, 1990, 35 (02): : 350 - 355
  • [3] Metallographic analysis and kinetic equation of the graphitization process of graphitized steel
    Zhang Y.-J.
    Li X.-P.
    Wang J.-H.
    Liu J.
    Han J.-T.
    Gongcheng Kexue Xuebao/Chinese Journal of Engineering, 2022, 44 (02): : 228 - 234
  • [4] RELAXATION OF A GAS DESCRIBED BY BOLTZMANN KINETIC EQUATION
    RYKOV, VA
    JOURNAL OF APPLIED MATHEMATICS AND MECHANICS-USSR, 1967, 31 (04): : 770 - &
  • [5] On the Rate of Relaxation for the Landau Kinetic Equation and Related Models
    Bobylev, Alexander
    Gamba, Irene M.
    Zhang, Chenglong
    JOURNAL OF STATISTICAL PHYSICS, 2017, 168 (03) : 535 - 548
  • [6] Study of Spatial Relaxation by Means of Solving a Kinetic Equation
    Aristov, V. V.
    Panyashkin, M. V.
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2011, 51 (01) : 122 - 132
  • [7] Study of spatial relaxation by means of solving a kinetic equation
    V. V. Aristov
    M. V. Panyashkin
    Computational Mathematics and Mathematical Physics, 2011, 51 : 122 - 132
  • [8] On the Rate of Relaxation for the Landau Kinetic Equation and Related Models
    Alexander Bobylev
    Irene M. Gamba
    Chenglong Zhang
    Journal of Statistical Physics, 2017, 168 : 535 - 548
  • [9] KINETIC OF THE RELAXATION PROCESS OF CARRIER DISTRIBUTIONS IN SEMICONDUCTORS
    RODRIGUEZ, MA
    CARRILLO, JL
    REYES, J
    SOLID STATE COMMUNICATIONS, 1985, 53 (09) : 789 - 792
  • [10] Solution of the nonrelativistic wave equation using the tridiagonal representation approach
    Alhaidari, A. D.
    JOURNAL OF MATHEMATICAL PHYSICS, 2017, 58 (07)
12345