能量均分的一个界
A Bound on Equipartition of Energy
摘要：
在这篇文章中，我们要证明的时间尺度约束的热力学系统意味着新的概念{ \it均分能量界限}（EEB），或更一般地说，一个化学界的{ \it分区}的能量。我们从理论上论证并讨论了为粒子流体的均分因子设定上限的可能性。这可以被解释为量子全息领域熵界的一种转录：EEB数$π^{2}/2 = 4.93$，从马戈卢斯-列维京量子定理和霍德的弛豫时间TTT界的比较中获得，似乎是粒子系统热力学的一个特殊值。这个界与极值统计的思想有关，并在统计力学的框架下独立地追踪，分析服从幂律大于普朗克定律的统计分布的数学行为。
英文摘要：
In this article we want to demonstrate that the time-scale constraints for a thermodynamic system imply the new concept of {\it equipartition of energy bound} (EEB) or, more generally, a thermodynamical bound for the {\it partition} of energy. We theorized and discussed the possibility to put an upper limit to the equipartition factor for a fluid of particles. This could be interpreted as a sort of transcription of the entropy bounds from quantum-holographic sector: the EEB number $π^{2}/2 = 4.93$, obtained from a comparison between the Margolus-Levitin quantum theorem and the TTT bound for relaxation times by Hod, seems like a special value for the thermodynamics of particle systems. This bound has been related to the idea of an extremal statistics and independently traced in a statistical mechanics framework, analyzing the mathematical behavior of the distributions which obey to a thermodynamical statistics with a power law greater than the planckian one.
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