Physics – General Physics
Scientific paper
2011-08-17
Physics
General Physics
12 pages, 1 Figure, 2 Tables
Scientific paper
In this article I want to demonstrate that the time-scale constraints for a thermodynamic system imply the new concept of equipartition of energy bound (EEB) or, more generally, a thermodynamical bound for the partition of energy. This means that I theorize and discuss the possibility to put an upper limit to the equipartition factor for a gas of particles. This could be interpreted as a sort of transcription of the entropy bounds from quantum-holographic sector. The number 4.93, i.e. the EEB, 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. In fact, I identified a type of fluid that is capable of reaching to saturate the limit value I obtained for the equipartition factor. This was done by analyzing the mathematical behavior of the distributions here called metaplanckian, which obey to a thermodynamical statistics with a power law greater than the planckian one.
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