Fluctuation of energy in the generalized thermostatistics
F. Q. Potiguar, U. M. S. Costa
TL;DR
This paper derives the energy fluctuation behavior in Tsallis statistics using a finite heat bath approach, providing explicit formulas relating fluctuations to system and bath degrees of freedom.
Contribution
It introduces a new explicit expression for energy fluctuations in Tsallis statistics within the finite heat bath framework, extending previous theoretical models.
Findings
Derived the second derivative of the partition function for energy fluctuation
Obtained explicit formulas relating relative fluctuation to degrees of freedom
Provided insights into energy fluctuation behavior in non-extensive thermodynamics
Abstract
We calculate the fluctuation of the energy of a system in Tsallis statistics following the finite heat bath canonical ensemble approach. We obtain this fluctuation as the second derivative of the logarithm of the partition function plus an additional term. We also find an explicit expression for the relative fluctuation as related to the number of degrees of freedom of the bath and the composite system.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.