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Pathological limits in statistical mechanics

2020/12/03 by Chen, C. Y.
#FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.2101.03897

Abstract

This paper shows that some of the limit-like quantities currently used in statistical mechanics are ill-defined in the mathematical sense. Along the line, it is shown that significant progresses in non-equilibrium gas dynamics can be made by redefining, reinterpreting, and reformulating those quantities.

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