RT Journal Article
T1 Generalized Green-Kubo formulas for fluids with impulsive, dissipative, stochastic, and conservative interactions
A1 Ernst, M. H.
A1 Brito, Ricardo
AB 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.
PB American Physical Society
SN 1539-3755
YR 2005
FD 2005-12
LK https://hdl.handle.net/20.500.14352/50640
UL https://hdl.handle.net/20.500.14352/50640
LA eng
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NO ©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).
NO Secretaría de Estado de Educación y Universidades (Spain)
NO Universidad Complutense (Profesores en el Extranjero)
DS Docta Complutense
RD 1 may 2024