Generalized thermodynamic uncertainty relations

TL;DR

This paper introduces a generalized relation connecting fluctuations of energy, temperature, and multiplicity in thermodynamic ensembles using nonextensive statistics, extending Lindhard's uncertainty relations.

Contribution

It proposes a new unified relation that accounts for simultaneous fluctuations of multiple thermodynamic variables, broadening the scope of existing uncertainty principles.

Findings

Derived a generalized thermodynamic uncertainty relation

Connected fluctuations of energy, temperature, and multiplicity

Extended Lindhard's relations to nonextensive statistics

Abstract

We analyze ensemble in which energy (E), temperature (T) and multiplicity (N) can all fluctuate and with the help of nonextensive statistics we propose a relation connecting all fluctuating variables. It generalizes Lindhard's thermodynamic uncertainty relations known in literature.