Ergodicity breaking in frustrated disordered systems: replicas in mean-field spin-glass models
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F15%3A00452101" target="_blank" >RIV/68378271:_____/15:00452101 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1080/01411594.2014.984711" target="_blank" >http://dx.doi.org/10.1080/01411594.2014.984711</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/01411594.2014.984711" target="_blank" >10.1080/01411594.2014.984711</a>
Alternative languages
Result language
angličtina
Original language name
Ergodicity breaking in frustrated disordered systems: replicas in mean-field spin-glass models
Original language description
We discuss ergodicity breaking in frustrated disordered systems with no apparent broken symmetry of the Hamiltonian and present a way how to amend it in the low-temperature phase. We demonstrate this phenomenon on mean-field models of spin glasses. We use replicas of the spin variables to test thermodynamic homogeneity of ergodic equilibrium systems. We show that replica-symmetry breaking reflects ergodicity breaking and is used to restore an ergodic state. We then present explicit asymptotic solutionsfor the Ising, Potts and -spin glasses. Each of the models shows a different low-temperature behavior and the way the replica symmetry and ergodicity are broken.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BM - Solid-state physics and magnetism
OECD FORD branch
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Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Phase Transitions
ISSN
0141-1594
e-ISSN
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Volume of the periodical
88
Issue of the periodical within the volume
3
Country of publishing house
GB - UNITED KINGDOM
Number of pages
19
Pages from-to
245-263
UT code for WoS article
000350691800005
EID of the result in the Scopus database
2-s2.0-84924528924