Order-parameter distribution function of finite O(n) symmetric systems in an external field

Autor:	X.S. Chen, V. Dohm
Rok vydání:	1997
Předmět:	Statistics and Probability Distribution function Plane (geometry) Quantum electrodynamics Mathematical analysis Finite geometry Periodic boundary conditions Ising model Function (mathematics) Condensed Matter Physics Scaling Critical point (mathematics) Mathematics
Zdroj:	Physica A: Statistical Mechanics and its Applications. 235:555-572
ISSN:	0378-4371
DOI:	10.1016/s0378-4371(96)00355-x
Popis:	We study the effect of an external field h on the order-parameter distribution function near the critical point of O(n) symmetric three-dimensional (3D) systems in a finite geometry. The distribution function is calculated within the ϕ4 field theory for a 3D cube with periodic boundary conditions by means of a new approach that appropriately deals with the Goldstone modes below Tc. The result describes finite-size effects near the critical point in the h-T plane including the first-order transition at the coexistence line at h = 0 below Tc. Theoretical predictions of the finite-size scaling function are presented for the Ising (n = 1) and XY (n = 2) models. Good agreement is found with recent Monte Carlo data for the distribution function of the magnetization of the 3D Ising model at finite h above and below Tc.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f09c5877027c796aad58bd7860cb76dc https://doi.org/10.1016/s0378-4371(96)00355-x Zobrazit plný text záznamu Full Text from ScienceDirect