Injected power and entropy flow in a heated granular gas
arXiv:cond-mat/0509056 · doi:10.1209/epl/i2005-10213-1
Abstract
Our interest goes to the power injected in a heated granular gas and to the possibility to interpret it in terms of entropy flow. We numerically determine the distribution of the injected power by means of Monte-Carlo simulations. Then, we provide a kinetic theory approach to the computation of such a distribution function. Finally, after showing why the injected power does not satisfy a Fluctuation Relation a la Gallavotti-Cohen, we put forward a new quantity which does fulfill such a relation, and is not only applicable in a variety of frameworks outside the granular world, but also experimentally accessible.
arXiv commentaccepted in Europhys. Lett
References in corpus (12)
- Dynamical Ensembles in Nonequilibrium Statistical Mechanics
- A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
- Fluctuation theorem for stochastic dynamics
- The Fluctuation Theorem as a Gibbs Property
- Current fluctuations in non-equilibrium diffusive systems: an additivity principle
- A fluidized granular medium as an instance of the Fluctuation Theorem
- Randomly Driven Granular Fluids: large scale structure
- Injected Power Fluctuations in Langevin Equation
- Lagrangian Velocity Statistics in Turbulent Flows: Effects of Dissipation
- Velocity Distributions and Correlations in Homogeneously Heated Granular Media
- Steady state properties of a driven granular medium
- Diffusion as mixing mechanism in granular materials
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