Local spin glass order in ID

S. Franz; G. Parisi

doi:10.1209/epl/i2006-10120-y

Local spin glass order in ID

S. Franz^*
, G. Parisi

^*Corresponding author for this work

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

6 Scopus citations

Abstract

We study the behavior of one-dimensional Kac spin glasses as a function of the interaction range. We verify by Monte Carlo numerical simulations the crossover from local mean-field behavior to global paramagnetism. We investigate the behavior of correlations and find that in the low-temperature phase correlations grow at a faster rate then the interaction range. We completely characterize the growth of correlations in the vicinity of the mean-field critical region.

Original language	English
Pages (from-to)	385-391
Number of pages	7
Journal	Europhysics Letters
Volume	75
Issue number	3
DOIs	https://doi.org/10.1209/epl/i2006-10120-y
State	Published - 1 Aug 2006
Externally published	Yes

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@article{62123384da5e47b78b19a4398c57324c,

title = "Local spin glass order in ID",

abstract = "We study the behavior of one-dimensional Kac spin glasses as a function of the interaction range. We verify by Monte Carlo numerical simulations the crossover from local mean-field behavior to global paramagnetism. We investigate the behavior of correlations and find that in the low-temperature phase correlations grow at a faster rate then the interaction range. We completely characterize the growth of correlations in the vicinity of the mean-field critical region.",

author = "S. Franz and G. Parisi",

year = "2006",

month = aug,

day = "1",

doi = "10.1209/epl/i2006-10120-y",

language = "英语",

volume = "75",

pages = "385--391",

journal = "Europhysics Letters",

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T1 - Local spin glass order in ID

AU - Franz, S.

AU - Parisi, G.

PY - 2006/8/1

Y1 - 2006/8/1

N2 - We study the behavior of one-dimensional Kac spin glasses as a function of the interaction range. We verify by Monte Carlo numerical simulations the crossover from local mean-field behavior to global paramagnetism. We investigate the behavior of correlations and find that in the low-temperature phase correlations grow at a faster rate then the interaction range. We completely characterize the growth of correlations in the vicinity of the mean-field critical region.

AB - We study the behavior of one-dimensional Kac spin glasses as a function of the interaction range. We verify by Monte Carlo numerical simulations the crossover from local mean-field behavior to global paramagnetism. We investigate the behavior of correlations and find that in the low-temperature phase correlations grow at a faster rate then the interaction range. We completely characterize the growth of correlations in the vicinity of the mean-field critical region.

UR - https://www.scopus.com/pages/publications/33747202971

U2 - 10.1209/epl/i2006-10120-y

DO - 10.1209/epl/i2006-10120-y

M3 - 文章

AN - SCOPUS:33747202971

SN - 0295-5075

VL - 75

SP - 385

EP - 391

JO - Europhysics Letters

JF - Europhysics Letters

IS - 3

ER -

Local spin glass order in ID

Abstract

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