Nonequilibrium Phase Transition in a 2D Ferromagnetic Spins with Effective Interactions

Autor: Tola, Dagne Wordofa, Bekele, Mulugeta
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1088/1751-8121/ad72bd
Popis: The study of nonequilibrium steady-state (NESS) in the Ising model offers rich insights into the properties of complex systems far from equilibrium. This paper explores the nature of NESS phase transitions in two-dimensional (2D) ferromagnetic Ising model on a square lattice under effective interactions using Monte Carlo (MC) algorithms. This requires extensive MC simulations using the modified Metropolis and modified Glauber update rules. The qualification of the modified update rules is characterized by the definition of an effective parameter $h$. For $|h|>1$, it is analytically shown that the nature of the phase transition (including the critical temperature) is independent of $h$. Furthermore, for $-1Comment: 21 Pages 9 Figures; Corrected typos. 16 Pages 7 Figures; Revised Sec. 2 and Corrected typos
Databáze: arXiv