Nonequilibrium identities and response theory for dissipative particles
arXiv:1306.0450 · doi:10.1103/PhysRevE.88.032117
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.
10 pages, 5 figures, to be published in Phys. Rev. E
References in corpus (15)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Berry-Phase induced Heat Pumping and its Impact on the Fluctuation Theorem
- A fluidized granular medium as an instance of the Fluctuation Theorem
- A mode coupling theory for Brownian particles in homogeneous steady shear flow
- Equilibrating temperature-like variables in jammed granular subsystems
- Symmetry properties of the large-deviation function of the velocity of a self-propelled polar particle
- Fluctuations of internal energy flow in a vibrated granular gas
- Relevance of initial and final conditions for the Fluctuation Relation in Markov processes
- Heat conduction induced by non-Gaussian athermal fluctuations
- Injected power and entropy flow in a heated granular gas
- Nonequilibrium mode-coupling theory for uniformly sheared underdamped systems
- The Hatano-Sasa equality: transitions between steady states in a granular gas
- Mode-coupling theory of sheared dense granular liquids
- Fluctuations in Shear-Jammed States: A Statistical Ensemble Approach
- Mode coupling theory for sheared granular liquids
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- Softening and residual loss modulus of jammed grains under oscillatory shear in an absorbing state
- Granular rotor as a probe for a non-equilibrium bath
- Effect of Elastic Vibrations on Normal Head on Collisions of Isothermal Spheres
- Response function of turbulence computed via fluctuation-response relation of a Langevin system with vanishing noise
- Kinetic theory of discontinuous shear thickening
- A microscopic theory for discontinuous shear thickening of frictional granular materials
- Kinetic theory of discontinuous shear thickening for a dilute gas-solid suspension