Bond chaos in the Sherrington-Kirkpatrick model

Abstract

We calculate the probability distribution of the overlap between a spin glass and a copy of itself in which the bonds are randomly perturbed in varying degrees. The overlap distribution is shown to go to a delta distribution in the thermodynamic limit for arbitrarily small perturbations (bond chaos) and we obtain the scaling behaviour of the distribution with system size N in the high and low temperature phases and exactly at the critical temperature. The results are relevant for the free energy fluctuations in the Sherrington-Kirkpatrick model.

12 pages, no figures

References in corpus (12)

• Temperature and Disorder Chaos in Three-Dimensional Ising Spin Glasses
• Chaos in temperature in the Sherrington-Kirkpatrick model
• Evidences Against Temperature Chaos in Mean Field and Realistic Spin Glasses
• Chaos and Universality in a Four-Dimensional Spin Glass
• Why temperature chaos in spin glasses is hard to observe
• Temperature Chaos and Bond Chaos in the Edwards-Anderson Ising Spin Glass : Domain-Wall Free-Energy Measurements
• Disorder chaos in spin glasses
• Free energy fluctuations and chaos in the Sherrington-Kirkpatrick model
• Against Chaos in Temperature in Mean-Field Spin-Glass Models
• Static Chaos in Spin Glasses against quenched disorder perturbations
• An exact relation between free energy fluctuations and bond chaos in the Sherrington-Kirkpatrick model
• On the Tail of the Overlap Probability Distribution in the Sherrington--Kirkpatrick Model

Cited by in corpus (12)

• Eigenvalue method to compute the largest relaxation time of disordered systems
• High q-State Clock Spin Glasses in Three Dimensions and the Lyapunov Exponents of Chaotic Phases and Chaotic Phase Boundaries
• Overfrustrated and Underfrustrated Spin-Glasses in d=3 and 2: Evolution of Phase Diagrams and Chaos Including Spin-Glass Order in d=2
• The Chiral Potts Spin Glass in d=2 and 3 Dimensions
• Phase Transitions between Different Spin-Glass Phases and between Different Chaoses in Quenched Random Chiral Systems
• Devil's Staircase Continuum in the Chiral Clock Spin Glass with Competing Ferromagnetic-Antiferromagnetic and Left-Right Chiral Interactions
• Chaos in Temperature in Diluted Mean-Field Spin-Glasses
• An exact relation between free energy fluctuations and bond chaos in the Sherrington-Kirkpatrick model
• Unlearnable Games and "Satisficing'' Decisions: A Simple Model for a Complex World
• Chaos properties of the one-dimensional long-range Ising spin-glass
• Sample-to-sample fluctuations and bond chaos in the $m$-component spin glass
• Chaotic Spin Correlations in Frustrated Ising Hierarchical Lattices