Strange Scaling and Temporal Evolution of Finite-Size Fluctuation in Thermal Equilibrium
Statistical Mechanics
2016-07-27 v1
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.
Keywords
Cite
@article{arxiv.1603.03173,
title = {Strange Scaling and Temporal Evolution of Finite-Size Fluctuation in Thermal Equilibrium},
author = {Yoshiyuki Y. Yamaguchi},
journal= {arXiv preprint arXiv:1603.03173},
year = {2016}
}
Comments
5 pages, 5 figures