Nonequilibrium identities of granular vibrating beds
Hisao Hayakawa
TL;DR
This paper derives a fluctuation theorem for vibrated granular beds, linking nonequilibrium statistical mechanics with granular dynamics, and explores its relation to the Green-Kubo formula.
Contribution
It introduces a nonequilibrium fluctuation theorem specific to vibrated granular particles and connects it to existing theoretical frameworks.
Findings
Derived integral fluctuation theorem for granular beds
Established connection with generalized Green-Kubo formula
Applicable to frictionless and soft core particles
Abstract
We derive the integral fluctuation theorem around a nonequilibrium stationary state for frictionless and soft core granular particles under an external vibration achieved by a balance between an external vibration and inelastic collisions. We also discuss the connection between the integral fluctuation theorem and the generalized Green-Kubo formula.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Quantum Electrodynamics and Casimir Effect · Phase Equilibria and Thermodynamics