Nonequilibrium identities and response theory for dissipative particles.

H. Hayakawa,M. Otsuki

Published 2013 in Physical review. E, Statistical, nonlinear, and soft matter physics

ABSTRACT

We derive some nonequilibrium identities such as the integral fluctuation theorem and the Jarzynski equality starting from a nonequilibrium state for dissipative classical systems. Thanks to the existence of the integral fluctuation theorem we can naturally introduce an entropy-like quantity for dissipative classical systems in far from equilibrium states. We also derive the generalized Green-Kubo formula as a nonlinear response theory for a steady dynamics around a nonequilibrium state. We numerically verify the validity of the derived formulas for sheared frictionless granular particles.

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