Property of Tsallis entropy and principle of entropy increase

Du Jiulin*
Department of Physics, School of Science, Tianjin University, Tianjin 300072, China

Abstract. The property of Tsallis entropy is examined when considering two systems with different temperatures to be in contact with each other and to reach the thermal equilibrium. It is verified that the total Tsallis entropy of the two systems cannot decrease after the contact of the systems. We derived an inequality for the change of Tsallis entropy in such an example, which leads to a generalization of the principle of entropy increase in the framework of nonextensive statistical mechanics.

Keywords: nonextensive system - principle of entropy increase

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