Abstract
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 language | English |
|---|---|
| Pages (from-to) | 186-198 |
| Number of pages | 13 |
| Journal | Journal of Statistical Physics |
| Volume | 162 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Jan 2016 |
Bibliographical note
Publisher Copyright:© 2015, Springer Science+Business Media New York.
Funding
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.
| Funders | Funder number |
|---|---|
| Israel Science Foundation | |
| Planning and Budgeting Committee of the Council for Higher Education of Israel |
Keywords
- Neighborhood identity ordering
- Quenched and annealed average
- Random bond lattice model