Majorization relations and disorder in generalized statistics

N. CANOSA; R. ROSSIGNOLI; M. PORTESI

PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS

Elsevier

Año: 2006 vol. 371 p. 126 - 129

0378-4371

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.