A Bound on Equipartition of Energy

Abstract

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 ${\pi }^2/2=4.93$, 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.

10 pages, 1 Figure, 1 Table

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Cited by in corpus (1)

• On the behavior of the bounds of the holographic theory for massive and massless particle systems