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Generalized Maxwell Distribution in the Tsallis Entropy Formalismстатья Исследовательская статья
- Авторы: Bakiev T.N., Nakashidze D.V., Savchenko A.M., Semenov K.M.
- Журнал: Moscow University Physics Bulletin
- Том: 77
- Номер: 5
- Год издания: 2022
- Издательство: Allerton Press
- Местоположение издательства: New York, N.Y., United States
- Первая страница: 58
- Последняя страница: 63
- DOI: 10.3103/S0027134922050046
- Аннотация: A formalism of statistical mechanics based on the nonadditive Tsallis entropy functional is considered. The mean energy value and the generalized Maxwell distribution (Maxwell–Tsallis distribution)are obtained on the basis of the Tsallis distribution for a general power-law Hamiltonian with an arbitrary number of degrees of freedom. This method of calculating integrals in the formalism simplifies the calculation of high-order moments for random variables of such a system. Based on the condition for convergence of the integrals, it is shown that the lower limit of the change in the q parameter is related to the number of particles in the system. The characteristics of statistical systems described by the Maxwell–Tsallis distribution (mean absolute value of velocity, mean square velocity, and the most probable velocity of gas atoms) are calculated.It is shown that the system described by this distribution must have nonzero correlations between velocities and energies of particles and the classical Maxwell distribution is a special case of the proposed generalized distribution.
- Добавил в систему: Савченко Александр Максимович