Steady-state distribution function for a gas of independent electrons far from equilibrium

Abstract

The quasi-stationary nonequilibrium distribution function of an independent electron gas interacting with a medium, which is at local thermal equilibrium, can be obtained by entropy production rate minimization, subject to constraints of fixed moments. The result is not restricted to the region near equilibrium (linear response) and provides a closure of the associated generalized hydrodynamic equations of the electron gas for an arbitrary number of moments. Besides an access to far from equilibrium states, the approach provides a useful description of semi-classical transport in mesoscopic conductors, particularly because macroscopic contacts can be naturally taken into account.

References in corpus (4)

• Low frequency admittance of a quantum point contact
• The relaxation time of a chiral quantum R-L circuit
• Conductance of fully equilibrated quantum wires
• Minimum entropy production closure of the photo-hydrodynamic equations for radiative heat transfer

Cited by in corpus (5)

• Macroscopic approximation to relativistic kinetic theory from a nonlinear closure
• Linking the hydrodynamic and kinetic description of a dissipative relativistic conformal theory
• Effective dynamics of a nonabelian plasma out of equilibrium
• A Hydrodynamic Approach to the Study of Anisotropic Instabilities in Dissipative Relativistic Plasmas
• A hydrodynamic approach to QGP instabilities