Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
A simple analytical description of the non-stationary dynamics in Ising spin systems
Univ Havana, Henri Poincare Grp Complex Syst, Havana 10400, Cuba.;Univ Havana, Dept Theoret Phys, Fac Phys, Havana 10400, Cuba..
KTH, School of Computer Science and Communication (CSC). AlbaNova Univ Ctr, Dept Computat Biol, SE-10691 Stockholm, Sweden..ORCID iD: 0000-0002-1252-2899
Univ Roma La Sapienza, Ist Nazl Fis Nucl, Sez Roma 1, Dipartimento Fis, Piazzale Aldo Moro 5, I-00185 Rome, Italy.;Univ Roma La Sapienza, CNR Nanotec, Piazzale Aldo Moro 5, I-00185 Rome, Italy..ORCID iD: 0000-0003-4970-7376
2017 (English)In: Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, E-ISSN 1742-5468, article id 033303Article in journal (Refereed) Published
Abstract [en]

The analytical description of the dynamics in models with discrete variables (e.g. Ising spins) is a notoriously di. cult problem, which can only be tackled under some approximation. Recently a novel variational approach to solve the stationary dynamical regime has been introduced by Pelizzola ( 2013 Eur. Phys. J. B 86 120), where simple closed equations are derived under meanfield approximations based on the cluster variational method. Here we propose to use the same approximation based on the cluster variational method also for the non- stationary regime, which has not been considered up to now within this framework. We check the validity of this approximation in describing the nonstationary dynamical regime of several Ising models defined on Erdos-Renyi random graphs: we study ferromagnetic models with symmetric and partially asymmetric couplings, models with random fields and also spin glass models. A comparison with the actual Glauber dynamics, solved numerically, shows that pone of the two studied approximations (the so-called `diamond' approximation) provides very accurate results in all the systems studied. Only for the spin glass models do we find some small discrepancies in the very low temperature phase, probably due to the existence of a large number of metastable states. Given the simplicity of the equations to be solved, we believe the diamond approximation should be considered as the `minimal standard' in the description of the nonstationary regime of Ising-like models: any new method pretending to provide a better approximate description to the dynamics of Ising-like models should perform at least as good as the diamond approximation.

Place, publisher, year, edition, pages
IOP PUBLISHING LTD , 2017. article id 033303
Keywords [en]
slow relaxation, glassy dynamics, aging, cavity and replica method
National Category
Other Physics Topics Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-271105DOI: 10.1088/1742-5468/aa5d22ISI: 000397537500001Scopus ID: 2-s2.0-85016477130OAI: oai:DiVA.org:kth-271105DiVA, id: diva2:1415090
Note

QC 20200317

Available from: 2020-03-17 Created: 2020-03-17 Last updated: 2020-05-11Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopus

Authority records BETA

Del Ferraro, Gino

Search in DiVA

By author/editor
Del Ferraro, GinoRicci-Tersenghi, Federico
By organisation
School of Computer Science and Communication (CSC)
In the same journal
Journal of Statistical Mechanics: Theory and Experiment
Other Physics TopicsPhysical Sciences

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf