Abstract
We study the problem of disorder chaos in the spherical mean-field model. It concerns the behavior of the overlap between two independently sampled spin configurations from two Gibbs measures with the same external parameters. The prediction states that if the disorders in the Hamiltonians are slightly decoupled, then the overlap will be concentrated near a constant value. Following Guerra’s replica symmetry breaking scheme, we establish this at the levels of the free energy and the Gibbs measure.
Original language | English (US) |
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Pages (from-to) | 417-429 |
Number of pages | 13 |
Journal | Journal of Statistical Physics |
Volume | 160 |
Issue number | 2 |
DOIs | |
State | Published - Jul 26 2015 |
Bibliographical note
Publisher Copyright:© 2015, Springer Science+Business Media New York.
Keywords
- Disorder chaos
- Mean-field model
- Replica symmetry breaking