Collisional invariants for the phonon Boltzmann equation

被引：14
|
作者：
Spohn, Herbert
机构：
[1] Tech Univ Munich, Zentrum Math, D-85747 Garching, Germany
[2] Tech Univ Munich, Dept Phys, D-85747 Garching, Germany
来源：
JOURNAL OF STATISTICAL PHYSICS | 2006年 / 124卷 / 05期
关键词：
collisional invariants;
D O I：
10.1007/s10955-006-9180-1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
For the phonon Boltzmann equation with only pair collisions we characterize the set of all collisional invariants under some mild conditions on the dispersion relation.
引用
收藏
页码：1131 / 1135
页数：5
相关论文
共 50 条
  • [21] Lattice Boltzmann scheme for hydrodynamic equation of phonon transport
    Guo, Yangyu
    Wang, Moran
    INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2022, 171
  • [22] SOLVING THE PHONON BOLTZMANN-EQUATION WITH THE VARIATIONAL METHOD
    PETTERSSON, S
    PHYSICAL REVIEW B, 1991, 43 (11): : 9238 - 9246
  • [23] Derivation of a hydrodynamic heat equation from the phonon Boltzmann equation for general semiconductors
    Sendra, Lluc
    Beardo, Albert
    Torres, Pol
    Bafaluy, Javier
    Xavier Alvarez, F.
    Camacho, Juan
    PHYSICAL REVIEW B, 2021, 103 (14)
  • [24] A lattice based solution of the collisional Boltzmann equation with applications to microchannel flows
    Green, B. I.
    Vedula, Prakash
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2013,
  • [25] On relativistic collisional invariants
    Cercignani, C
    Kremer, GM
    JOURNAL OF STATISTICAL PHYSICS, 1999, 96 (1-2) : 439 - 445
  • [26] On Relativistic Collisional Invariants
    C. Cercignani
    G. M. Kremer
    Journal of Statistical Physics, 1999, 96 : 439 - 445
  • [27] COUPLED SOLUTIONS OF THE COLLISIONAL BOLTZMANN-EQUATION FOR ELECTRONS AND THE HEAVY PARTICLE MASTER EQUATION IN NITROGEN
    CAPITELLI, M
    DILONARDO, M
    GORSE, C
    CHEMICAL PHYSICS, 1981, 56 (01) : 29 - 42
  • [28] A COMPARATIVE STUDY OF SUBMICRON PHONON TRANSPORT USING THE BOLTZMANN TRANSPORT EQUATION AND THE LATTICE BOLTZMANN METHOD
    Chattopadhyay, Ankur
    Pattamatta, Arvind
    NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 2014, 66 (04) : 360 - 379
  • [29] On the coupling of collisional radiative models and Boltzmann equation for atomic transient hydrogen plasmas
    Colonna, G
    Pietanza, LD
    Capitelli, M
    RAREFIED GAS DYNAMICS, 2001, 585 : 222 - 229
  • [30] The phonon Boltzmann equation, properties and link to weakly anharmonic lattice dynamics
    Spohn, Herbert
    JOURNAL OF STATISTICAL PHYSICS, 2006, 124 (2-4) : 1041 - 1104
12345