RT Journal Article
T1 New Green-Kubo formulas for transport coefficients in hard-sphere, Langevin fluids and the likes
A1 Ernst, M. H.
A1 Brito, Ricardo
AB 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.
PB EDP Sciences
SN 0295-5075
YR 2006
FD 2006-01
LK https://hdl.handle.net/20.500.14352/50639
UL https://hdl.handle.net/20.500.14352/50639
LA eng
NO ©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).
NO Secretaría de Estado de Educación y Universidades (Spain)
NO Universidad Complutense (Profesores en el Extranjero)
DS Docta Complutense
RD 9 abr 2025