We discuss mean-field theory of glasses without quenched disorder focusing on the justification of the replica approach to thermodynamics. We emphasize the assumptions implicit in this method and discuss how they can be verified. The formalism is applied to the long-range Ising model with an orthogonal coupling matrix. We find the one-step replica-symmetry-breaking solution and show that it is stable in the intermediate-temperature range that includes the glass state but excludes very low temperatures. At very low temperatures this solution becomes unstable and this approach fails.
|Original language||English (US)|
|Journal||Journal of Physics Condensed Matter|
|State||Published - May 14 2001|
All Science Journal Classification (ASJC) codes
- Materials Science(all)
- Condensed Matter Physics