Coarse graining the phi 4 model: Landau-Ginzburg potentials from computer simulations

Author(s)
Andreas Tröster, Christoph Dellago
Abstract

We discuss the problem of how to calculate Landau and Landau-Ginzburg free energies for lattice spin models from computer simulations. In setting up a proper simulation algorithm, emphasis is placed on the coarse grained nature of these potentials, which must be take into account by any suitable simulation approach. The development of theory and simulation results is reviewed and the results of a novel Monte Carlo algorithm using Fourier amplitudes are presented, which partly confirm and sharpen the assumptions on the temperature behavior of the Landau-Ginzburg coefficients made in the literature.

Organisation(s)
Computational and Soft Matter Physics
Journal
Ferroelectrics
Volume
354
Pages
225-237
No. of pages
13
ISSN
0015-0193
DOI
https://doi.org/10.1080/00150190701454982
Publication date
2007
Peer reviewed
Yes
Austrian Fields of Science 2012
103018 Materials physics
Portal url
https://ucrisportal.univie.ac.at/en/publications/2733c657-eba4-45a3-b444-689996abdfb1