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

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

2009-09-15

arxiv.org/abs/0909.2774v2

EPL, 89 (2010) 57007

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1209/0295-5075/89/57007

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.

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