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

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dc.creatorErnst, M. H.
dc.creatorBrito, R.
dc.date2005-09-21
dc.date2006-01-10
dc.date.accessioned2026-07-07T06:41:50Z
dc.date.available2026-07-07T06:41:50Z
dc.descriptionWe present a generalization of the Green-Kubo expressions for thermal transport coefficients $μ$ in complex fluids of the generic form, $μ= μ_\infty +\int^\infty_0 dt V^{-1} < J_ε\exp(t {\cal L}) J >_0$, i.e. a sum of an instantaneous transport coefficient $μ_\infty$, and a time integral over a time correlation function in a state of thermal equilibrium between a current $J$ and a transformed current $J_ε$. The streaming operator $\exp(t{\cal L})$ generates the trajectory of a dynamical variable $J(t) =\exp(t{\cal L}) J$ 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 $μ_\infty \neq 0$ and $J_ε\neq J$, 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.
dc.description14 pages, no figures. Version 2: expanded Introduction and section II specifying the classes of fluids covered by this theory. Some references added and typos corrected
dc.identifierhttps://arxiv.org/abs/cond-mat/0509555
dc.identifierhttp://arxiv.org/abs/cond-mat/0509555
dc.identifierPhys. Rev. E 72 (2006) 061102
dc.identifierdoi:10.1103/PhysRevE.72.061102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101816
dc.subjectStatistical Mechanics
dc.titleGeneralized Green-Kubo formulas for fluids with impulsive, dissipative, stochastic and conservative interactions
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