One-Dimensional Lorentz Gas with Rotating Scatterers: Exact Solutions

被引：0
|
作者：
Leonid A. Bunimovich
Milena A. Khlabystova
机构：
[1] Georgia Institute of Technology,School of Mathematics
[2] Georgia Institute of Technology,Southeast Applied Analysis Center
来源：
Journal of Statistical Physics | 2003年 / 112卷
关键词：
Lorentz lattice gas; Lorentz gas; rotating scatterers; flipping scatterers;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The simplest solutions (orbits) to the recently introduced Lorentz gas with rotating scatterers are found by considering its one-dimensional one-particle reduction. This model has only one parameter which can be viewed as the amount of energy transfer between the scatterers and the particle during a collision. Exact solutions of the system are found for several values of this parameter. For some of these values, the dynamics is shown to be in many respects similar to the dynamics of the deterministic Lorentz lattice gases.
引用
收藏
页码：1207 / 1218
页数：11
相关论文
共 50 条
  • [1] One-dimensional Lorentz gas with rotating scatterers: Exact solutions
    Bunimovich, LA
    Khlabystova, MA
    JOURNAL OF STATISTICAL PHYSICS, 2003, 112 (5-6) : 1207 - 1218
  • [2] EXACT SOLUTIONS FOR THE ONE-DIMENSIONAL VISCOUS FLOW OF A PERFECT GAS
    ROSEN, G
    PHYSICS OF FLUIDS, 1960, 3 (02) : 191 - 196
  • [3] Stochastic One-Dimensional Lorentz Gas on a Lattice
    E. Barkai
    V. Fleurov
    Journal of Statistical Physics, 1999, 96 : 325 - 359
  • [4] Stochastic one-dimensional Lorentz gas on a lattice
    Barkai, E
    Fleurov, V
    JOURNAL OF STATISTICAL PHYSICS, 1999, 96 (1-2) : 325 - 359
  • [5] Chaotic properties of a one-dimensional Lorentz gas
    Appert, C
    Bokel, C
    Dorfman, JR
    Ernst, MH
    PHYSICA D-NONLINEAR PHENOMENA, 1997, 103 (1-4) : 357 - 361
  • [6] Anomalous transport in a one-dimensional Lorentz gas model
    Eule, S.
    Friedrich, R.
    Jenko, F.
    JOURNAL OF CHEMICAL PHYSICS, 2008, 129 (17):
  • [7] The Boltzmann equation for a one-dimensional quantum lorentz gas
    Esposito, R
    Pulvirenti, M
    Teta, A
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1999, 204 (03) : 619 - 649
  • [8] The Boltzmann Equation for a One-Dimensional Quantum Lorentz Gas
    R. Esposito
    M. Pulvirenti
    A. Teta
    Communications in Mathematical Physics, 1999, 204 : 619 - 649
  • [9] One-dimensional stochastic Levy-Lorentz gas
    Barkai, E
    Fleurov, V
    Klafter, J
    PHYSICAL REVIEW E, 2000, 61 (02) : 1164 - 1169
  • [10] EXACT WAVEFUNCTIONS FOR ONE-DIMENSIONAL GRAVITATIONAL GAS
    MURIEL, A
    PHYSICS LETTERS A, 1976, 56 (05) : 343 - 344
12345