2006/01/10 by N. Canosa, R. Rossignoli, M. Portesi · 10 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Applied mathematics #Combinatorics #Computer science #Majorization #Mathematics #Mixing (physics) #Physics #Power law #Pure mathematics #Quantum Mechanics and Applications #Quantum mechanics #Set (abstract data type) #Statistical Mechanics and Entropy #Statistical physics #Statistics #Thermal #Thermodynamics #cond-mat.stat-mech
paper · pdf · doi:10.1016/j.physa.2005.11.044
published in Physica A Statistical Mechanics and its Applications 368(2), 435-441 (Elsevier BV) · 11 pages, 1 figure. Some references added
openalex publication_date 2006/01/10 · arxiv created 2009/06/23 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.