LATTICE LORENTZ GAS - KINETIC-THEORY

被引:10
作者
VANVELZEN, GA
机构
[1] Inst. for Theor. Phys., Utrecht
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 21期
关键词
D O I
10.1088/0305-4470/23/21/032
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Standard approximation schemes in kinetic theory are compared with the effective medium approximation (EMA), that was developed earlier for the stochastic Lorentz gas on cubic lattices. In models with reflecting collisions the low-density results are in strong disagreement with molecular chaos and in excellent agreement with the simulation data. The analysis identifies the diagrams that are taken into account in the different approximations. The EMA accounts in a self-consistent way for all nested ring diagrams.
引用
收藏
页码:4953 / 4976
页数:24
相关论文
共 46 条
[1]  
[Anonymous], 1970, HDB MATH FNCTIONS
[2]  
Binder P. M., 1987, Complex Systems, V1, P559
[3]  
BOUWENS BT, 1989, UNPUB REPORT U UTREC
[4]   COMPUTER EXPERIMENT ON DIFFUSION IN LORENTZ GAS [J].
BRUIN, C .
PHYSICA, 1974, 72 (02) :261-286
[5]   LOGARITHMIC TERMS IN DIFFUSION-COEFFICIENT FOR LORENTZ GAS [J].
BRUIN, C .
PHYSICAL REVIEW LETTERS, 1972, 29 (25) :1670-&
[6]   EXACT RESULTS FOR DIFFUSION ON A DISORDERED CHAIN [J].
DENTENEER, PJH ;
ERNST, MH .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1983, 16 (27) :L961-L969
[7]   DIFFUSION IN SYSTEMS WITH STATIC DISORDER [J].
DENTENEER, PJH ;
ERNST, MH .
PHYSICAL REVIEW B, 1984, 29 (04) :1755-1768
[8]  
Domb C., 1958, P CAMBRIDGE PHILOS S, V54, P48
[9]  
Dorfman J. R., 1977, STATISTICAL MECHAN B, P65
[10]   TIME-DEPENDENT CORRELATION-FUNCTIONS FOR RANDOM-WALKS ON BOND DISORDERED CUBIC LATTICES [J].
ERNST, MH .
JOURNAL OF STATISTICAL PHYSICS, 1987, 48 (3-4) :645-676