Lyapunov exponent of a many body system and its transport coefficients

被引:26
作者
Barnett, DM
Tajima, T
Nishihara, K
Ueshima, Y
Furukawa, H
机构
[1] UNIV TEXAS,INST FUS STUDIES,AUSTIN,TX 78712
[2] OSAKA UNIV,INST LASER ENGN,OSAKA,JAPAN
[3] ATOM ENERGY RES INST,ADV SCI RES CTR,IBARAKI,OSAKA,JAPAN
关键词
D O I
10.1103/PhysRevLett.76.1812
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An ab initio theoretical expression for the N-body Lyapunov exponent of a dilute gas is derived. It shows the Lyapunov exponent to be a function of the time integral of the correlation function for the second derivative of the interparticle potential (approximately a power 1/3 law). This establishes a link between the Lyapunov exponent and the transport coefficients. We compare the theory with numerical simulations of a one component plasma.
引用
收藏
页码:1812 / 1815
页数:4
相关论文
共 13 条
[1]  
BARNETT DM, 1995, 705 IFSR
[2]   FLUCTUATION-DIFFUSION RELATIONSHIP IN CHAOTIC DYNAMICS [J].
CHAUDHURI, S ;
GANGOPADHYAY, G ;
RAY, DS .
PHYSICAL REVIEW E, 1993, 47 (01) :311-315
[3]   DERIVATION OF OHM LAW IN A DETERMINISTIC MECHANICAL MODEL [J].
CHERNOV, NI ;
EYINK, GL ;
LEBOWITZ, JL ;
SINAI, YG .
PHYSICAL REVIEW LETTERS, 1993, 70 (15) :2209-2212
[4]   VISCOSITY OF A SIMPLE FLUID FROM ITS MAXIMAL LYAPUNOV EXPONENTS [J].
EVANS, DJ ;
COHEN, EGD ;
MORRISS, GP .
PHYSICAL REVIEW A, 1990, 42 (10) :5990-5997
[5]   TIME CORRELATION RELATION FOR LYAPUNOV EXPONENTS [J].
EVANS, DJ .
PHYSICAL REVIEW LETTERS, 1992, 69 (03) :395-397
[6]   TRANSPORT-PROPERTIES, LYAPUNOV EXPONENTS, AND ENTROPY PER UNIT TIME [J].
GASPARD, P ;
NICOLIS, G .
PHYSICAL REVIEW LETTERS, 1990, 65 (14) :1693-1696
[8]  
LANDAU LD, 1980, STATISTICAL PHYSIC 1, V5
[9]  
LICHTENBERG AJ, 1983, REGULAR STOCHASTIC M, V38, P264
[10]  
NISHIHARA K, 1994, INSTANTANEOUS PHASE