A numerical study of the overlap probability distribution and its sample-to-sample fluctuations in a mean-field model

Abstract

In this paper we study the fluctuations of the probability distributions of the overlap in mean field spin glasses in the presence of a magnetic field on the De Almeida-Thouless line. We find that there is a large tail in the left part of the distribution that is dominated by the contributions of rare samples. Different techniques are used to examine the data and to stress on different aspects of the contribution of rare samples.

13 pages, 11 figures

References in corpus (5)

• Broken Replica Symmetry Bounds in the Mean Field Spin Glass Model
• Ising spin glass transition in magnetic field out of mean-field
• Near optimal configurations in mean field disordered systems
• Scale Invariance and Self-averaging in disordered systems
• Finite size scaling of the de Almeida-Thouless instability in random sparse networks

Cited by in corpus (8)

• Numerical detection of the Gardner transition in a mean-field glass former
• The three dimensional Ising spin glass in an external magnetic field: the role of the silent majority
• Diluted Mean-Field Spin-Glass Models at Criticality
• Determining the nonequilibrium criticality of a Gardner transition via a hybrid study of molecular simulations and machine learning
• Non-perturbative effects in spin glasses
• Spin glasses in a field show a phase transition varying the distance among real replicas (and how to exploit it to find the critical line in a field)
• Numerical results for the Edwards-Anderson spin-glass model at low temperature
• Pair correlation function for spin glasses