Generalized Green-Kubo formulas for fluids with impulsive, dissipative, stochastic, and conservative interactions

被引:9
作者
Ernst, MH [1 ]
Brito, R
机构
[1] Univ Utrecht, Inst Theoret Phys, NL-3508 TD Utrecht, Netherlands
[2] Univ Complutense, Dept Fis Aplicada 1, E-28040 Madrid, Spain
[3] Univ Complutense, GISC, E-28040 Madrid, Spain
来源
PHYSICAL REVIEW E | 2005年 / 72卷 / 06期
关键词
D O I
10.1103/PhysRevE.72.061102
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We present a generalization of the Green-Kubo expressions for thermal transport coefficients mu in complex fluids of the generic form mu=mu(infinity)+integral(infinity)(0) dtV(-1)< J(epsilon)exp(tL)J >(0), i.e. a sum of an instantaneous transport coefficient mu(infinity), and a time integral over a time correlation function in a state of thermal equilibrium between a current J and its conjugate current J(epsilon). The streaming operator exp(tL) generates the trajectory of a dynamical variable J(t)=exp(tL)J when used inside the thermal average <(...)>(0). These formulas are valid for conservative, impulsive (hard spheres), stochastic, and dissipative forces (Langevin fluids), provided the system approaches a thermal equilibrium state. In general mu(infinity)not equal 0 and J(epsilon)not equal J, except for the case of conservative forces, where the equality signs apply. The most important application in the present paper is the hard sphere fluid.
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页数:11
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共 38 条
[1]  
Allen M. P., 1987, J COMPUTER SIMULATIO, DOI DOI 10.2307/2938686
[2]   Dissipative particle dynamics with energy conservation [J].
Avalos, JB ;
Mackie, AD .
EUROPHYSICS LETTERS, 1997, 40 (02) :141-146
[3]  
Chapman S., 1970, The Mathematical Theory of Non-Uniform Gases, V3rd
[4]   THE INCOHERENT-SCATTERING FUNCTION AND RELATED CORRELATION-FUNCTIONS IN HARD-SPHERE FLUIDS AT SHORT TIMES [J].
DESCHEPPER, IM ;
ERNST, MH ;
COHEN, EGD .
JOURNAL OF STATISTICAL PHYSICS, 1981, 25 (02) :321-360
[5]  
DUFTY J, CONDMAT0507609
[6]   GREEN-KUBO RELATIONS FOR LATTICE GAS CELLULAR AUTOMATA [J].
DUFTY, JW ;
ERNST, MH .
JOURNAL OF PHYSICAL CHEMISTRY, 1989, 93 (19) :7015-7019
[7]   Exact short time dynamics for steeply repulsive potentials [J].
Dufty, JW ;
Ernst, MH .
MOLECULAR PHYSICS, 2004, 102 (19-20) :2123-2135
[8]   GREEN-KUBO RELATIONS FOR LATTICE GAS CELLULAR AUTOMATA [J].
ERNST, MH ;
DUFTY, JW .
PHYSICS LETTERS A, 1989, 138 (08) :391-395
[9]   NONANALYTIC DISPERSION-RELATIONS FOR CLASSICAL FLUIDS .2. GENERAL FLUID [J].
ERNST, MH ;
DORFMAN, JR .
JOURNAL OF STATISTICAL PHYSICS, 1975, 12 (04) :311-359
[10]   HARD-SPHERE DYNAMICS AND BINARY-COLLISION OPERATORS [J].
ERNST, MH ;
DORFMAN, JR ;
HOEGY, WR ;
VANLEEUW.JM .
PHYSICA, 1969, 45 (01) :127-&