Green-Kubo relations

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The Green-Kubo relations [1] [2] are expressions that relate macroscopic transport coefficients to integrals of microscopic time correlation functions. In general one has

where is the flux.

Shear viscosity

The shear viscosity is related to the pressure tensor via

i.e. the integral of the autocorrelation of the off-diagonal components of the microscopic stress tensor.

Fluctuation theorem

The Green-Kubo relations can be derived from the Evans-Searles transient fluctuation theorem[3]

References

Related reading