FIZIKA A 14 (2005) 1 , 89-96

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ON THE EQUIVALENCE BETWEEN ONSAGER'S PRINCIPLE OF THE LEAST DISSIPATION OF ENERGY AND MAXIMUM ENTROPY PRODUCTION PRINCIPLE. CONDUCTION OF HEAT IN AN ANISOTROPIC CRYSTAL.

PAŠKO ŽUPANOVIĆ a, DAVOR JURETIĆ a and SREĆKO BOTRIĆ b

aFaculty of Natural Sciences, Mathematics and Education, University of Split,
Teslina 12, 21000 Split, Croatia
bFaculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, University of Split, R. Boškovića b.b., 21000 Split, Croatia
E-mail addresses:  pasko@pmfst.hrjuretic@pmfst.hrsrecko.botric@fesb.hr

Dedicated to the memory of Professor Vladimir Šips

Received 13 September 2004;    Accepted 21 December 2004
Online 31 October 2005

An application of the Onsager's principle of the least dissipation of energy to the problem of the heat conduction in an anisotropic crystal is revisited. In the case of a steady spatial distribution of the temperature it is shown that this principle is equivalent to the principle of maximum entropy production. This means that components of the actual heat flux are distributed in such a way as to achieve the state of the maximum entropy production.

PACS numbers: 05.70.Ln,65.40.Gr
UDC 536.75

Keywords: entropy production, principle of the least dissipation of energy

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