Majorization properties of generalized thermal distributions

Abstract

We examine the majorization properties of general thermal-like mixed states depending on a set of parameters. Sufficient conditions which ensure the increase in mixedness, and hence of any associated entropic form, when these parameters are varied, are identified. We then discuss those exhibiting a power law distribution, showing that they can be characterized by two distinct mixing parameters, one associated with temperature and the other with the non-extensivity index q. Illustrative numerical results are also provided.

11 pages, 1 figure. Some references added

References in corpus (5)

• What should a statistical mechanics satisfy to reflect nature?
• Validity of the second law in nonextensive quantum thermodynamics
• Majorization criterion for distillability of a bipartite quantum state
• Generalized non-additive entropies and quantum entanglement
• Violation of majorization relations in entangled states and its detection by means of generalized entropic forms

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