Neighborhood Identity Ordering and Quenched to Annealed Transition in Random Bond Models

Dino Osmanović, Yitzhak Rabin

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


Systems with many different interactions pose a challenge to traditional methods of statistical physics. In this paper, we develop the random bond model, which has a huge number of randomly chosen interaction parameters (quenched variables). Using heuristic arguments and Monte-Carlo simulations, we show that for any temperature there exists a sufficiently large system size above which one can forego the complicated quenched averaging familiar from spin glasses, and calculate statistical averages using standard methods of equilibrium statistical mechanics.

Original languageEnglish
Pages (from-to)186-198
Number of pages13
JournalJournal of Statistical Physics
Issue number1
StatePublished - 1 Jan 2016

Bibliographical note

Funding Information:
We would like to thank Lenin Shagolsem, Dan Stein, Chuck Newman, Matthiew Wyart, David Kessler, Nadav Schnerb, Paul Chaikin and Mitchell Feigenbaum for useful discussion. This work was supported by the I-CORE Program of the Planning and Budgeting Committee and the Israel Science Foundation.

Publisher Copyright:
© 2015, Springer Science+Business Media New York.


  • Neighborhood identity ordering
  • Quenched and annealed average
  • Random bond lattice model


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