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Geometrical aspects of a generalized statistical mechanics

M. Portesi, F. Pennini and A. Plastino

Physica A: Statistical Mechanics and its Applications, 2007, vol. 373, issue C, 273-282

Abstract: We discuss here the use of generalized forms of entropy, taken as information measures, to characterize phase transitions and critical behavior in thermodynamic systems. Our study is based on geometric considerations pertaining to the space of parameters that describe statistical mechanics models. The thermodynamics of the system is the focus of attention in this geometric context.

Keywords: Information geometry; Nonextensive statistical mechanics; Generalized q-divergence (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:373:y:2007:i:c:p:273-282

DOI: 10.1016/j.physa.2006.05.024

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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