Green-Kubo relations

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The Green-Kubo relations (according to Melville S. Green and Ryogo Kubo ) are exact mathematical relations for transport coefficients and have the form of an integral over time, with the integrand being a time autocorrelation function : ${\ displaystyle \ gamma}$

{\ displaystyle \ gamma = \ int _ {0} ^ {\ infty} \ langle {\ dot {A}} (t) {\ dot {A}} (0) \ rangle \ mathrm {d} t}

.

They are part of the Kubo formalism .

Individual evidence

^ Melville S. Green: Markoff Random Processes and the Statistical Mechanics of Time-Dependent Phenomena. II. Irreversible Processes in Fluids . In: The Journal of Chemical Physics . tape 22 , no. 3 , March 1954, p. 398-413 , doi : 10.1063 / 1.1740082 .
↑ Ryogo Kubo: Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems . In: Journal of the Physical Society of Japan . tape 12 , no. 6 , June 15, 1957, p. 570-586 , doi : 10.1143 / JPSJ.12.570 .
^ G. Wilse Robinson: Water in Biology, Chemistry, and Physics: Experimental Overviews and Computational Methodologies . World Scientific, Singapore 1996, ISBN 978-981-02-2451-6 ( limited preview in Google Book Search).

[1] Melville S. Green: Markoff Random Processes and the Statistical Mechanics of Time-Dependent Phenomena. II. Irreversible Processes in Fluids . In: The Journal of Chemical Physics . tape 22 , no. 3 , March 1954, p. 398-413 , doi : 10.1063 / 1.1740082 .

[2] Ryogo Kubo: Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems . In: Journal of the Physical Society of Japan . tape 12 , no. 6 , June 15, 1957, p. 570-586 , doi : 10.1143 / JPSJ.12.570 .

[3] G. Wilse Robinson: Water in Biology, Chemistry, and Physics: Experimental Overviews and Computational Methodologies . World Scientific, Singapore 1996, ISBN 978-981-02-2451-6 ( limited preview in Google Book Search).