Majorization properties of generalized thermal distributions |
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| Institution: | 1. Institute for Technical Physics and Materials Science, Centre for Energy Research, Hungarian Academy of Sciences, P.O. Box 49, H-1525 Budapest, Hungary;2. Budapest University of Technology and Economics, Budafoki út 8, H-1111 Budapest, Hungary;1. Institut für Theoretische Physik, Goethe Universität, Frankfurt am Main, Germany;2. Babeş-Bolyai University, Department of Physics, Cluj-Napoca, Romania;3. Edutus College, Tatabánya, Hungary;1. Institute of Applied System Analysis, Jiangsu University, Zhenjiang 212013, Jiangsu, China;2. School of Mathematics and Statistics, Changshu Institute of Technology, Changshu 215500, Jiangsu, China;3. School of Mathematical Science, Nanjing Normal University, Nanjing 210042, Jiangsu, China |
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| 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. |
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