Analytic Form of a Two-Dimensional Critical Distribution

Autor:	Bramwell, Steven T.
Rok vydání:	2021
Předmět:	Condensed Matter - Statistical Mechanics
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevE.105.034142
Popis:	This paper explores the possibility of establishing an analytic form of the distribution of the order parameter fluctuations in a two-dimensional critical spin wave model, or width fluctuations of a two dimensional Edwards-Wilkinson interface. It is shown that the characteristic function of the distribution can be expressed exactly as a Gamma function quotient, while a Charlier series, using the convolution of two Gumbel distributions as the kernel, converges to the exact result over a restricted domain. These results can also be extended to calculate the temperature dependence of the distribution and give an insight into the origin of Gumbel-like distributions in steady-state and equilibrium quantities that are not extreme values. Comment: 6 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2109.13877 Zobrazit plný text záznamu View this record from Arxiv