The Fourier Monte Carlo Approach to Lattice Spin Models

Author(s)
Andreas Tröster, Christoph Dellago
Abstract

Recently we have developed a Monte Carlo algorithm for lattice spin systems that relies exclusively on the use of Fourier amplitudes without making any reference to the underlying real-space configurations. This article is devoted to give a comprehensive discussion of the motivation, basic ideas and limits of this algorithm. By analyzing its construction in detail, we explain why our algorithm is of considerable use for solving certain classes of problems that may be computationally too expensive otherwise. Also, we explain how finite size scaling is properly set up to work with the algorithm.

Organisation(s)
Computational and Soft Matter Physics
Journal
Physics Procedia
Volume
6
Pages
106-116
No. of pages
11
DOI
https://doi.org/10.1016/j.phpro.2010.09.035
Publication date
2010
Peer reviewed
Yes
Austrian Fields of Science 2012
103009 Solid state physics, 103029 Statistical physics
Portal url
https://ucrisportal.univie.ac.at/en/publications/2b0b7275-2154-45b7-9361-76034f7d9d83