Nonequilibrium free energy methods applied to magnetic systems: the degenerate Ising model
Statistical Mechanics
2019-05-01 v1
Abstract
In this paper, we review the physical concepts of the nonequilibrium techniques for the calculation of free energies applied to magnetic systems using Monte Carlo simulations of different nonequilibrium processes. The methodology allows the calculation of the free energy difference between two different system Hamiltonians, as well as the free energy dependence on temperature and magnetic field for a given Hamiltonian. As an illustration of the effectiveness of this approach, we apply the methodologies to determine the phase diagram of a simple microscopic model, the degenerate Ising model. Our results show very good agreement with those obtained from analytical (theoretical) methods.
Keywords
Cite
@article{arxiv.1809.02633,
title = {Nonequilibrium free energy methods applied to magnetic systems: the degenerate Ising model},
author = {Samuel Cajahuaringa and Alex Antonelli},
journal= {arXiv preprint arXiv:1809.02633},
year = {2019}
}