Generalization of the Beck-Cohen superstatistics
Autor: | Denis Nikolaevich Sob’yanin (Денис Николаевич Собьянин) |
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Rok vydání: | 2011 |
Předmět: |
High Energy Astrophysical Phenomena (astro-ph.HE)
Statistical Mechanics (cond-mat.stat-mech) Generalization Stochastic process Probability (math.PR) Non-equilibrium thermodynamics FOS: Physical sciences Distribution (mathematics) Quantum mechanics Condensed Matter::Statistical Mechanics FOS: Mathematics Energy level Statistical physics Physics::Chemical Physics Astrophysics - High Energy Astrophysical Phenomena Condensed Matter - Statistical Mechanics Mathematics - Probability Branching process Superstatistics Mathematics |
DOI: | 10.48550/arxiv.1111.6891 |
Popis: | Generalized superstatistics, i.e., a "statistics of superstatistics," is proposed. A generalized superstatistical system comprises a set of superstatistical subsystems and represents a generalized hyperensemble. There exists a random control parameter that determines both the density of energy states and the distribution of the intensive parameter for each superstatistical subsystem, thereby forming the third, upper level of dynamics. Generalized superstatistics can be used for nonstationary nonequilibrium systems. The system in which a supercritical multitype age-dependent branching process takes place is an example of a nonstationary generalized superstatistical system. The theory is applied to pair production in a neutron star magnetosphere. Comment: 7 pages, no figures |
Databáze: | OpenAIRE |
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