Why are Orlicz spaces useful for Statistical Physics?
W. A. Majewski, L. E. Labuschagne
TL;DR
This paper reviews a formalism using Orlicz spaces to improve the mathematical foundation of classical and quantum statistical physics, leading to more rigorous and well-established descriptions of large systems.
Contribution
It introduces a novel approach employing Orlicz spaces to enhance the mathematical rigor in the description of statistical systems in physics.
Findings
Better mathematical formalism for statistical mechanics
Unified treatment of classical and quantum systems
Enhanced stability and clarity in large system descriptions
Abstract
We review a new formalism based on Orlicz spaces for the description of large regular statistical systems. Our presentation includes both classical and quantum systems. The presented approach has the advantage that statistical mechanics is much better settled.
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Taxonomy
TopicsStatistical Mechanics and Entropy · Random Matrices and Applications · Quantum Mechanics and Applications