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EnglishWe 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 |
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http://hdl.handle.net/11585/100863
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