Green-Kubo relations: Difference between revisions
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The Green-Kubo relations can be derived from the [[Evans-Searles transient fluctuation theorem]]. | The Green-Kubo relations can be derived from the [[Evans-Searles transient fluctuation theorem]]. | ||
==References== | ==References== | ||
#[http://dx.doi.org/10.1063/1.1740082 Melville S. Green "Markoff Random Processes and the Statistical Mechanics of Time-Dependent Phenomena. II. Irreversible Processes in Fluids", Journal of Chemical Physics '''22''' pp. 398-413 (1954)] | |||
#[http://dx.doi.org/10.1143/JPSJ.12.570 Ryogo Kubo "Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems", Journal of the Physical Society of Japan '''12''' PP. 570-586 (1957)] | |||
#[http://dx.doi.org/10.1063/1.481610 Debra J. Searles and Denis J. Evans "The fluctuation theorem and Green–Kubo relations", Journal of Chemical Physics '''112''' pp. 9727-9735 (2000)] | #[http://dx.doi.org/10.1063/1.481610 Debra J. Searles and Denis J. Evans "The fluctuation theorem and Green–Kubo relations", Journal of Chemical Physics '''112''' pp. 9727-9735 (2000)] | ||
[[Category: Non-equilibrium thermodynamics]] | [[Category: Non-equilibrium thermodynamics]] | ||
Revision as of 15:22, 13 June 2007
The Green-Kubo relations provide exact mathematical expressions for the transport coefficients in terms of integrals of time correlation functions. The Green-Kubo relations can be derived from the Evans-Searles transient fluctuation theorem.
References
- Melville S. Green "Markoff Random Processes and the Statistical Mechanics of Time-Dependent Phenomena. II. Irreversible Processes in Fluids", Journal of Chemical Physics 22 pp. 398-413 (1954)
- Ryogo Kubo "Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems", Journal of the Physical Society of Japan 12 PP. 570-586 (1957)
- Debra J. Searles and Denis J. Evans "The fluctuation theorem and Green–Kubo relations", Journal of Chemical Physics 112 pp. 9727-9735 (2000)