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Perturbation and Statistical Distribution of the Thermal Energy

. Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Abstract

In statistical thermodynamics the great number of particles responsible of the phenomena, leads to use the statistical methods to determine for example the number of particles in the vicinity of a given energy. The set of possible values leads to the notion of statistical distribu-tion of the energy. Concerning the probabilities the coherency between theory and experiment justifies hypothesises. But the use of statistics supposes implicitly in some extend a part of hazard in the distribution, part introduced by Boltzmann with the hypothesis of molecular disorder. It is possible to shed light on this hypothesis supposing that they are the thermal exchanges with the external space to the studied set which originate the molecular disorder. Indeed there is no system fully isolated and each experiment even the best isolated one is per-turbed by a flux of thermal energy exchanged with the atoms of the gas or solid studied. In good experimental conditions this flux is constant in mean value and generally small before the mean thermal energy U. On the other hand for great accuracy it appears that the thermal radiation slightly modified the thermal equilibrium of the solids. It is that the study of the blackbody from the distribution D(E,U) shown 1. The purpose of this work is to determine how this flux introduces perturbations on the distribution of the energy of the atoms or elec-trons. In this view we will use the essential of our previous study simplifying it when it is possible and completing it to show the general character of the distribution D(E,U) in the study of the physical phenomena 2. 1) Oudet X., “The black boby and the Dulong and Petit law.” Ann. de la Fondation Louis de Broglie, 29, 733-745, (2005). English version : http://www.ensmp.fr/aflb/AFLB-301/aflb301m322e.htm, French version http://www.ensmp.fr/aflb/AFLB-294/aflb294m322.htm \\ 2) Oudet X. Ann. de la Fondation Louis de Broglie,53-74 http://www.ensmp.fr/aflb/AFLB-311/aflb311m388.htm.

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