A Bound on Equipartition of Energy

2011/08/17 by Masi, Nicolo'
#82D99 #FOS: Physical sciences #General Physics (physics.gen-ph) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.1109.4384

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 π²/2 = 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.

Related

• The lower bound on the energy for bounded systems is equivalent to the Bekenstein upper bound on the entropy to energy ratio for bounded systems
• Universal trade-off between irreversibility and intrinsic timescale in thermal relaxation with applications to thermodynamic inference
• On the behavior of the bounds of the holographic theory for massive and massless particle systems
• On Page's examples challenging the entropy bound
• Entropy bounds from quantum thermodynamics