TY - JOUR

T1 - Principle of Entropy Maximization for Nonequilibrium Steady States

AU - Shapiro, Alexander

AU - Stenby, Erling Halfdan

PY - 2002

Y1 - 2002

N2 - The goal of this contribution is to find out to what extent the principle of entropy maximization, which serves as a basis for the equilibrium thermodynamics, may be generalized onto non-equilibrium steady states. We prove a theorem that, in the system of thermodynamic coordinates, where entropy has a maximum in a steady state with regard to some thermodynamic variables, the matrix of the Onsager phenomenological coefficients becomes diagonal. The theorem requires consistent rules of the coordinate transformations in the non-equilibrium thermodynamics. Such rules are formulated. The results make it possible, in some cases, to reduce the number of unknown transport coefficients in thermodynamic description of the transport processes.

AB - The goal of this contribution is to find out to what extent the principle of entropy maximization, which serves as a basis for the equilibrium thermodynamics, may be generalized onto non-equilibrium steady states. We prove a theorem that, in the system of thermodynamic coordinates, where entropy has a maximum in a steady state with regard to some thermodynamic variables, the matrix of the Onsager phenomenological coefficients becomes diagonal. The theorem requires consistent rules of the coordinate transformations in the non-equilibrium thermodynamics. Such rules are formulated. The results make it possible, in some cases, to reduce the number of unknown transport coefficients in thermodynamic description of the transport processes.

U2 - 10.1007/3-540-45791-7_4

DO - 10.1007/3-540-45791-7_4

M3 - Journal article

VL - 584

SP - 61

EP - 73

JO - Lecture Notes in Physics

JF - Lecture Notes in Physics

SN - 0075-8450

ER -