Interface Energy in the Edwards-Anderson Model

Pierluigi Contucci; Cristian Giardinà; Claudio Giberti; Giorgio Parisi; Cecilia Vernia

doi:10.1007/s10955-010-0100-z

Interface Energy in the Edwards-Anderson Model

Pierluigi Contucci
, Cristian Giardinà
, Claudio Giberti^*
, Giorgio Parisi
, Cecilia Vernia

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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 D_c = 2.5. The results show a good agreement with the mean field theory predictions.

Original language	English
Pages (from-to)	1-10
Number of pages	10
Journal	Journal of Statistical Physics
Volume	142
Issue number	1
DOIs	https://doi.org/10.1007/s10955-010-0100-z
State	Published - Jan 2011
Externally published	Yes

Keywords

Edwards-Anderson spin glass
Energy interface
Lower critical dimension

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10.1007/s10955-010-0100-z

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title = "Interface Energy in the Edwards-Anderson Model",

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.",

keywords = "Edwards-Anderson spin glass, Energy interface, Lower critical dimension",

author = "Pierluigi Contucci and Cristian Giardin{\`a} and Claudio Giberti and Giorgio Parisi and Cecilia Vernia",

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doi = "10.1007/s10955-010-0100-z",

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AU - Contucci, Pierluigi

AU - Giardinà, Cristian

AU - Giberti, Claudio

AU - Parisi, Giorgio

AU - Vernia, Cecilia

PY - 2011/1

Y1 - 2011/1

N2 - 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.

AB - 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.

KW - Edwards-Anderson spin glass

KW - Energy interface

KW - Lower critical dimension

UR - https://www.scopus.com/pages/publications/78650521370

U2 - 10.1007/s10955-010-0100-z

DO - 10.1007/s10955-010-0100-z

M3 - 文章

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VL - 142

SP - 1

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JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 1

ER -

Interface Energy in the Edwards-Anderson Model

Abstract

Keywords

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