Nonextensive statistical mechanics based on the maximum Tsallis entropy principle and its physical backgrounds are summarized. The Boltzmann equation with a generalized form of Stosszahlansatz and the associated H-theorem are proposed and analyzed in order to examine if relaxation of a nonextensive ...
As such, the theorem could not be generalized to account for dissipative systems: the conservative nature of collisions is an essential ingredient in the standard derivation. For a dissipative gas of grains, we construct here a simple functional H related to the original H, that can be ...
Boltzmann equation and $H$ -theorem in the functional formulation of classical mechanics 来自 Math-net 喜欢 0 阅读量: 20 作者: AS Trushechkin 摘要: Religious identity and the problem of historical foundation. The foundational character of authoritative sources in the history, edited by Judith ...
and Klee, V.: ‘Helly’s theorem and its relatives’, in V. Klee (ed.): Convexity, Proc. Symp. Pure Math., Vol. 7, Amer. Math. Soc., 1963, pp. 101-180. Google Scholar Hadwiger, H. and Debrunner, H.: ‘Kombinatorische Geometrie in der Ebene’, L’Enseign. Math. 2 (...
In the 1870-s, Ludwig Boltzmann published his celebrated kinetic equation and theH-theorem1,2that gave the statistical foundation of the second law of thermodynamics3. TheH-theorem states that iff(x;v;τ) is the distribution density of molecules of the ideal gas at the timeτ, positionxand...
The Japanese theoretical physicist Ryogo Kubo made remarkable contributions to statistical mechanics and condensed matter physics, amongst which his name is most widely associated with the linear response theory. Despite his importance in the history of modern physics, however, historians have paid him ...
h region h 区 h theorem h 定理 haag araki theory 哈格 荒木理论 haag kastler theorem 哈格 卡斯特勒定理 hadamard transform spectrometer 阿达玛德变换光谱仪 hadron 强子 hadron electron storage ring 强子电子存储环 hadron multiplet 强子多重态 hadronic atom 强子原子 ...
摘要: We study both the positivity and the H -Theorem for simple exact solutions of two-velocity discrete models when linear terms, which correspond to collision processes, are added to quadratic ones.关键词: Theoretical or Mathematical/ Boltzmann equation/ discrete Boltzmann models positivity H-...
and Klee, V.: ‘Helly’s theorem and its relatives’, in V. Klee (ed.): Convexity, Proc. Symp. Pure Math., Vol. 7, Amer. Math. Soc., 1963, pp. 101–180. Google Scholar Courant, R. and Hilbert, D.: Methods of mathematical physics. Partial differential equations, 2, ...
It was in this theoretical framework that Yukawa developed his meson theory but also that in 1940 Pauli elaborated his spin-statistics theorem, namely that particles of zero or integer spins obey the Bose statistics, while particles of odd half-integer spin obey the Fermi statistics [112]. ...