用分子碰撞的Carati-Galgani模型推广普朗克分布
Generalizing Planck's distribution by using the Carati-Galgani model of molecular collisions
摘要:
利用Carati-Galgani模型研究了经典耦合谐振子系统。我们调查的后果爱因斯坦猜想考虑的能量交换,在分子碰撞,遵循Lévy型统计。我们发展了一个广义的普朗克分布承认有类似的关系,在平衡量子统计力学的关系发现使用非平衡经典统计力学的方法。基于非广延统计力学形式主义的普朗克定律的推广与我们的分析是一致的。
英文摘要:
Classical systems of coupled harmonic oscillators are studied using the Carati-Galgani model. We investigate the consequences for Einstein's conjecture by considering that the exchanges of energy, in molecular collisions, follows the Lévy type statistics. We develop a generalization of Planck's distribution admitting that there are analogous relations in the equilibrium quantum statistical mechanics of the relations found using the nonequilibrium classical statistical mechanics approach. The generalization of Planck's law based on the nonextensive statistical mechanics formalism is compatible with the our analysis.
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