Nonequilibrium Phase Transitionins in Ferromagnetic Systems under Effective Interactions

The study of nonequilibrium steady-state (NESS) in the Ising model offers rich insights into the properties of complex systems.The poster aims to explore the nature of NESS phase transitions in a 2D ferromagnetic Ising model on a square lattice under effective interactions using Monte Carlo (MC) algorithms.It requires extensive MC simulations using the modified Metropolis and Glauber update rules.An appropriate definition of an effective parameter h helps to qualify the modified update rules.For |h| > 1, the analytical solution shows that the nature of the phase transition (including the critical temperature) is independent of h.Furthermore, for -1 < h < 1, we study the properties of NESS phase transitions using numerical methods.Therefore we performed simulations for different system sizes and measured relevant physical quantities.We determined the numerical results of the transition temperature and relevant critical exponents for various values of h by applying finite-size scaling (FSS).It is found that the FSS analysis of exponents is consistent with the analytical values of equilibrium 2D Ising model.For detailed info use Reference [1] or scan a QR link.

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Published
2025-07-16
DOI
https://doi.org/10.54985/peeref.2507p5172186
Primary Topic
Theoretical and Computational Physics
Type
article

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article

Nonequilibrium Phase Transitionins in Ferromagnetic Systems under Effective Interactions

Dagne Wordofa Tola, Mulugeta Bekele
Theoretical and Computational Physics
article

Nonequilibrium Phase Transitionins in Ferromagnetic Systems under Effective Interactions

Dagne Wordofa Tola, Mulugeta Bekele
article en

Abstract

The study of nonequilibrium steady-state (NESS) in the Ising model offers rich insights into the properties of complex systems.The poster aims to explore the nature of NESS phase transitions in a 2D ferromagnetic Ising model on a square lattice under effective interactions using Monte Carlo (MC) algorithms.It requires extensive MC simulations using the modified Metropolis and Glauber update rules.An appropriate definition of an effective parameter h helps to qualify the modified update rules.For |h| > 1, the analytical solution shows that the nature of the phase transition (including the critical temperature) is independent of h.Furthermore, for -1 < h < 1, we study the properties of NESS phase transitions using numerical methods.Therefore we performed simulations for different system sizes and measured relevant physical quantities.We determined the numerical results of the transition temperature and relevant critical exponents for various values of h by applying finite-size scaling (FSS).It is found that the FSS analysis of exponents is consistent with the analytical values of equilibrium 2D Ising model.For detailed info use Reference [1] or scan a QR link.

Addis Ababa University (ET)
Abdus Salam International Centre for Theoretical Physics
Theoretical and Computational Physics
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