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New Green-Kubo formulas for transport coefficients in hard-sphere, Langevin fluids and the likes



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Ernst, M. H. and Brito, Ricardo (2006) New Green-Kubo formulas for transport coefficients in hard-sphere, Langevin fluids and the likes. Europhysics Letters, 73 (2). pp. 183-189. ISSN 0295-5075

[thumbnail of Brito 44 preprint.pdf]

Official URL: http://iopscience.iop.org/0295-5075/73/2/183/pdf/0295-5075_73_2_183.pdf


We present generalized Green-Kubo expressions for thermal transport coefficients mu in non-conservative fluid-type systems, of the generic form mu = mu(infinity)+ integral(o)(infinity) dtV(-1) [I-epsilon exp[tL] I](0), where exp[tL] is a pseudo-streaming operator. It consists of 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 I and its conjugate current I-epsilon. This formula with mu(infinity) not equal 0 and I-epsilon not equal I covers vastly different systems, such as strongly repulsive elastic interactions in hardsphere fluids, weakly interacting Langevin fluids with dissipative and stochastic interactions satisfying detailed balance conditions, and "the likes", defined in the text. For conservative systems the results reduce to the standard formulas.

Item Type:Article
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©EDP Sciences. The authors thank J. Piasecki and P. Español for bringing refs. [4] and [6], respectively, to their attention. MHE is supported by Secretaría de Estado de Educación y Universidades (Spain), and RB by the Universidad Complutense (Profesores en el Extranjero). This work is financed by the research project FIS2004-271 (Spain).

Uncontrolled Keywords:Dissipative particle dynamics
Subjects:Sciences > Physics > Thermodynamics
ID Code:21342
Deposited On:17 May 2013 10:10
Last Modified:24 Jul 2018 11:06

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