We numerically investigate the spin glass energy interface problem in three dimensions. We analyze the energy cost of changing the overlap from -1 to +1 at one boundary of two coupled systems (in the other boundary the overlap is kept fixed to +1). We implement a parallel tempering algorithm that simulates finite temperature systems and works with both cubic lattices and parallelepiped with fixed aspect ratio. We find results consistent with a lower critical dimension Dc = 2.5. The results show a good agreement with the mean field theory predictions. © 2010 Springer Science+Business Media, LLC.
Interface Energy in the Edwards-Anderson Model / Pierluigi, Contucci; Cristian, Giardina; Claudio, Giberti; Parisi, Giorgio; Cecilia, Vernia. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - 142:1(2011), pp. 1-10. [10.1007/s10955-010-0100-z]
Interface Energy in the Edwards-Anderson Model
PARISI, Giorgio;
2011
Abstract
We numerically investigate the spin glass energy interface problem in three dimensions. We analyze the energy cost of changing the overlap from -1 to +1 at one boundary of two coupled systems (in the other boundary the overlap is kept fixed to +1). We implement a parallel tempering algorithm that simulates finite temperature systems and works with both cubic lattices and parallelepiped with fixed aspect ratio. We find results consistent with a lower critical dimension Dc = 2.5. The results show a good agreement with the mean field theory predictions. © 2010 Springer Science+Business Media, LLC.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
