Entropy Production in the Theory of Heat Conduction in Solids

Entropy

Federico Zullo¹ 

[1] Department of Mathematics and Physics, Roma Tre University, Via della Vasca Navale 84, 00146 Roma, Italy;

关键词: non-equilibrium thermodynamics;    entropy;    heat transfer;    minimum entropy production;   

DOI  :  10.3390/e18030087

来源: DOAJ

【 摘 要 】

The evolution of the entropy production in solids due to heat transfer is usually associated with the Prigogine’s minimum entropy production principle. In this paper, we propose a critical review of the results of Prigogine and some comments on the succeeding literature. We suggest a characterization of the evolution of the entropy production of the system through the generalized Fourier modes, showing that they are the only states with a time independent entropy production. The variational approach and a Lyapunov functional of the temperature, monotonically decreasing with time, are discussed. We describe the analytic properties of the entropy production as a function of time in terms of the generalized Fourier coefficients of the system. Analytical tools are used throughout the paper and numerical examples will support the statements.

【 授权许可】

Unknown