Extending multiple histogram reweighting to a continuous lattice spin system exhibiting a first order phase transition
Abstract
We present extensive Monte Carlo simulations on a two-dimensional XY model with a modified form of interaction potential. Thermodynamic quantities other than energy, specific heat etc (such as magnetization, susceptibility, fourth order cumulant of magnetization) are obtained using multiple-histogram reweighting of the data obtained from the simulations. We employ an approach which eliminates the need to construct two-dimensional histograms. This approach makes judicious use of computer memory as well as CPU time. Lee-kosterlitz's method of finite size scaling for a first order transition and analysis using Binder's cumulant method allow us to make an accurate determination of the transition temperature.
Cite
@article{arxiv.1305.5397,
title = {Extending multiple histogram reweighting to a continuous lattice spin system exhibiting a first order phase transition},
author = {Suman Sinha},
journal= {arXiv preprint arXiv:1305.5397},
year = {2013}
}
Comments
4 pages (in double column), 6 figures, Published in Phys. Rev. E 87, 054102 (2013)