| Issue |
Europhys. Lett.
Volume 73, Number 2, January 2006
|
|
|---|---|---|
| Page(s) | 183 - 189 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2005-10384-7 | |
| Published online | 14 December 2005 | |
New Green-Kubo formulas for transport coefficients in hard-sphere, Langevin fluids and the likes
1
Institute for Theoretical Physics, Universiteit Utrecht 3508 TD Utrecht, The Netherlands
2
Departamento de Física Aplicada I and GISC, Universidad Complutense 28040 Madrid, Spain
Received:
21
August
2005
Accepted:
22
November
2005
We present generalized Green-Kubo expressions for thermal
transport coefficients μ in non-conservative fluid-type
systems, of the generic form ![$\mu = \mu_\infty +\int^\infty_0 \upd t V^{-1} \langle{I_\epsilon \exp[t {\cal L}] I}\rangle_0$](/articles/epl/abs/2006/02/epl9132/epl9132_tex_eq1.png)
, where ![$\exp[t{\cal L}]$](/articles/epl/abs/2006/02/epl9132/epl9132_tex_eq2.png)
is a pseudo-streaming operator. It consists of a sum of an
instantaneous transport coefficient 
, and a time
integral over a time correlation function in a state of thermal
equilibrium between a current I and its conjugate current
. This formula with 
and
covers vastly different systems, such as
strongly repulsive elastic interactions in hard-sphere 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.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise and Brownian motion / 05.20.Dd – Kinetic theory
© EDP Sciences, 2006
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