On applications of Orlicz Spaces to Statistical Physics

TL;DR

This paper introduces a rigorous method using Orlicz spaces to improve the mathematical foundation of statistical physics, enabling better handling of entropy and renormalization in large classical and quantum systems.

Contribution

It presents a novel approach leveraging Orlicz spaces to enhance the mathematical treatment of statistical mechanics, including a new renormalization technique for well-defined entropy.

Findings

Enhanced mathematical framework for statistical mechanics.

New renormalization method for entropy.

Applicable to classical and quantum systems.

Abstract

We present a new rigorous approach based on Orlicz spaces for the description of the statistics of large regular statistical systems, both classical and quantum. This approach has the advantage that statistical mechanics is much better settled. In particular, a new kind of renormalization leading to states having a well defined entropy function is presented.