Against Chaos in Temperature in Mean-Field Spin-Glass Models
arXiv:cond-mat/0103375 · doi:10.1088/0305-4470/34/27/305
Abstract
We study the problem of chaos in temperature in some mean-field spin-glass models by means of a replica computation over a model of coupled systems. We propose a set of solutions of the saddle point equations which are intrinsically non-chaotic and solve a general problem regarding the consistency of their structure. These solutions are relevant in the case of uncoupled systems too, therefore they imply a non-trivial overlap distribution between systems at different temperatures. The existence of such solutions is checked to fifth order in an expansion near the critical temperature through highly non-trivial cancellations, while it is proved that a dangerous set of such cancellations holds exactly at all orders in the Sherrington-Kirkpatrick (SK) model. The SK model with soft-spin distribution is also considered obtaining analogous results. Previous analytical results are discussed.
20 pages, submitted to J.Phys. A
Cited by in corpus (20)
- Generalization of the cavity method for adiabatic evolution of Gibbs states
- Chaos in temperature in the Sherrington-Kirkpatrick model
- Why temperature chaos in spin glasses is hard to observe
- Fragility of the Free-Energy Landscape of a Directed Polymer in Random Media
- Overlap Among States at Different Temperatures in the SK Model
- Free energy fluctuations and chaos in the Sherrington-Kirkpatrick model
- Practical engineering of hard spin-glass instances
- Dynamic Variational Study of Chaos: Spin Glasses in Three Dimensions
- Magnetic field chaos in the SK Model
- Temperature chaos is a non-local effect
- Bond chaos in the Sherrington-Kirkpatrick model
- Chaos in Temperature in Diluted Mean-Field Spin-Glasses
- Tap Complexity, the Cavity Method and Supersymmetry
- Rare events analysis of temperature chaos in the Sherrington-Kirkpatrick model
- Partition-function zeros of spherical spin glasses and their relevance to chaos
- Zeros of the partition function and dynamical singularities in spin-glass systems
- Temperature shifts in the Sinai model: static and dynamical effects
- Temperature chaos in a replica symmetry broken spin glass model - A hierarchical model with temperature chaos -
- One step replica symmetry breaking and overlaps between two temperatures
- Temperature chaos and quenched heterogeneities