Irreversibility and Entropy Production in Transport Phenomena I
  *First-principles derivation of the entropy production in erectric static conduction. *The second-order (symmetric) density matrix contributes to the entropy production. *New schemes of steady states formulated using a relaxation-type von Neumann equation. *Stationary temperature is introduced to characterize steady states. *The mechanism of the entropy production in steady states is also clarified. 
Masuo Suzuki
cond-mat.stat-mech