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 simulate finite temperature systems and work with both cubic lattices and parallelepiped with fixed aspect ratio. We find results consistent with a lower critical dimension $D_c=2.5$. The results show a good agreement with the mean field theory predictions.
Titolo: | Interface Energy in the Edwards-Anderson Model |
Autore/i: | CONTUCCI, PIERLUIGI; cristian giardina; claudio giberti; giorgio parisi; cecilia vernia |
Autore/i Unibo: | |
Anno: | 2011 |
Rivista: | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s10955-010-0100-z |
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 simulate finite temperature systems and work with both cubic lattices and parallelepiped with fixed aspect ratio. We find results consistent with a lower critical dimension $D_c=2.5$. The results show a good agreement with the mean field theory predictions. |
Data prodotto definitivo in UGOV: | 2011-02-27 13:24:36 |
Data stato definitivo: | 2016-10-24T00:51:33Z |
Appare nelle tipologie: | 1.01 Articolo in rivista |
File in questo prodotto:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.