Title: Relation between entropy, free energy and computational energy

Authors: Maxence Bigerelle, Hisham A. Abdel-Aal, Alain Iost

Addresses: Laboratoire Roberval, UMR 6253, UTC/CNRS. UTC, Centre de Recherches de Royallieu BP20529, 60205 Compiegne, France. ' Laboratoire de Mecanique et Procede de Fabrication (LMPF, EA4106), Arts et Metier ParisTech, LMPF, Rue Saint Dominique BP 508, 51006, Chalons-en-Champagne, France. ' Arts et Metiers ParisTech, CNRS, LMPGM, 8, Boulevard Louis XIV, 59046 Lille Cedex, France

Abstract: This paper proposes an isomorphism between the number of accessible states of the system including statistical fluctuation and the optimised size of a computer program set-up by combining the Huffman and R.L.E algebrae. At first, a relation between the variation of the free energy in the system and the variation of the programme size used to describe the system was stated. A fluctuation to the equilibrium decreases the size of the programme in relation to the decrease in entropy and the decay of the free energy of the system.

Keywords: entropy; free energy; computational energy; information theory; data compression; Monte Carlo simulation; computer programs; statistical fluctuation; size optimisation; isomorphism.

DOI: 10.1504/IJMPT.2010.031893

International Journal of Materials and Product Technology, 2010 Vol.38 No.1, pp.35 - 43

Published online: 01 Mar 2010 *

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