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

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Ernst, M. H. and Brito, Ricardo (2005) Generalized Green-Kubo formulas for fluids with impulsive, dissipative, stochastic, and conservative interactions. Physical Review E, 72 (6, Par). ISSN 1539-3755

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Official URL: http://pre.aps.org/pdf/PRE/v72/i6/e061102




Abstract

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.


Item Type:Article
Additional Information:

©2005 The American Physical Society. M.H.E. is supported by Secretaría de Estado de Educación y Universidades (Spain), and R.B. by the Universidad Complutense (Profesores en el Extranjero). This work is financed by the research project FIS2004-271 (Spain).

Uncontrolled Keywords:Modified enskog equation; Gas cellular automata; Hard-sphere fluid; Particle dynamics; Energy-conservation; Hydrodynamics; Scale
Subjects:Sciences > Physics > Thermodynamics
ID Code:21348
Deposited On:17 May 2013 10:13
Last Modified:24 Jul 2018 11:02

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