Majorization relations and disorder in generalized statistics

N. Canosa, R. Rossignoli and M. Portesi

Physica A: Statistical Mechanics and its Applications, 2006, vol. 371, issue 1, 126-129

Abstract: The theory of majorization is applied to examine the disorder properties of generalized thermal distributions arising in non-extensive statistics. We show that they share with the Boltzmann–Gibbs thermal state the property of becoming more mixed as the temperature increases, implying the increase of any associated disorder measure. We also show that power-law distributions exhibit a second mixing parameter associated with the non-extensivity index. As application, we examine the thermal response of quantum entanglement in a spin system for different statistics.

Keywords: Majorization; Generalized statistics; Entanglement (search for similar items in EconPapers)
Date: 2006
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:371:y:2006:i:1:p:126-129

DOI: 10.1016/j.physa.2006.04.080

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