Inertial Effects in Non-Equilibrium Thermodynamics

Abstract

We discuss inertial effects in systems outside equilibrium within the framework of non-equilibrium thermodynamics. By introducing a Gibbs equation in which the entropy depends on the probability density, we are able to describe a system of Brownian particles immersed in a heat bath in both inertial and diffusion regimes. In the former, a relaxation equation for the diffusion current is obtained whereas in the latter we recover Fick's law. Our approach, which uses the elements of the theory of internal degrees of freedom, constitutes the mesoscopic version of a previous analysis which takes into account the kinetic energy of diffusion.

8 pages, Revtex (no Figures)

References in corpus (1)

• Simultaneous Brownian Motion of N Particles in a Temperature Gradient

Cited by in corpus (18)

• Kinetic Equations for Diffusion in the Presence of Entropic Barriers
• Magnetization dynamics in the inertial regime: nutation predicted at short time scales
• Magnetization Dynamics, Gyromagnetic Relation, and Inertial Effects
• Diffusion in Stationary Flow from Mesoscopic Non-equilibrium Thermodynamics
• Local quasi-equilibrium description of slow relaxation systems
• Homogeneous Nucleation in Inhomogeneous Media I: Nucleation in a Temperature Gradient
• Temperature of systems out of thermodynamic equilibrium
• Mesoscopic non-equilibrium thermodynamics approach to the dynamics of polymers
• Memory effects in nonlinear transport: kinetic equations and ratchet devices
• mesoscopic approach to the slow dynamics of supercooled liquids and colloidal systems
• A Model for Nonexponential Relaxation and Aging in Dissipative Systems
• Microinertia and internal variables
• Anomalous law of cooling
• Relaxation in homogeneous and non-homogeneous polarized systems. A mesoscopic entropy approach
• The Statistical Foundation of Entropy in Extended Irreversible Thermodynamics
• A Simple Model for Nonexponential Relaxation in Complex Dynamics
• Diffusion model and analysis of diffusion process at lagrangian method
• Emerging magnetic nutation