Nonequilibrium identities and response theory for dissipative particles

TL;DR

This paper derives nonequilibrium identities like the fluctuation theorem and Jarzynski equality for dissipative particles, introduces an entropy-like measure, and develops a nonlinear response theory, verified through simulations of granular particles.

Contribution

It presents new nonequilibrium identities and a generalized Green-Kubo formula for dissipative systems, extending classical response theory to far-from-equilibrium states.

Findings

Derived integral fluctuation theorem and Jarzynski equality for dissipative systems.

Introduced an entropy-like quantity for far-from-equilibrium dissipative systems.

Numerically verified the formulas using sheared granular particles.

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.