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arXiv · 1603.03173

Strange Scaling and Temporal Evolution of Finite-Size Fluctuation in Thermal Equilibrium

Yoshiyuki Y. Yamaguchi
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Abstract

We numerically exhibit strange scaling and temporal evolution of finite-size fluctuation in thermal equilibrium of a simple long-range interacting system. These phenomena are explained from the view point of existence of the Casimirs and their nonexactness in finite-size systems, where the Casimirs are invariants in the Vlasov dynamics describing the long-range systems in the limit of large population. This explanation expects appearance of the reported phenomena in a wide class of isolated long-range systems. The scaling theory is also discussed as an application of the strange scaling.

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Yoshiyuki Y. Yamaguchi. 2016-03-10. Strange Scaling and Temporal Evolution of Finite-Size Fluctuation in Thermal Equilibrium. https://doi.org/10.1103/physreve.94.012133

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