Some Properties of the Sharma–Mittal Statistical DistributionстатьяИсследовательская статья
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Дата последнего поиска статьи во внешних источниках: 15 февраля 2024 г.
Аннотация:The statistical theory based on the two-parameter Sharma–Mittal functional is a generalization of Gibbs, Renyi, and Tsallis statistics. This study focuses on the formalism of statistical mechanics based on the Sharma–Mittal entropy functional and proves the theorem on the energy equipartition over degrees of freedom for classical statistical systems. A generalized Maxwell distribution is derived for the corresponding statistics, and the characteristics of statistical systems described by this distribution are calculated, including the mean velocity magnitude, root mean square velocity, and the most probable velocity of gas particles. Additionally, a generalized Sackur–Tetrode formula is obtained.