Which measures of spin-glass overlaps are informative?

Abstract

The nature of equilibrium states in disordered materials is often studied using an overlap function P(q), the probability of two configurations having similarity q. Exact sampling simulations of a two-dimensional proxy for three-dimensional spin glasses indicate that common measures of P(q) in smaller samples do not decide between theoretical pictures. Strong corrections result from P(q) being an average over many scales, as seen in a toy droplet model. However, the median of the integrals of sample-dependent P(q) curves shows promise for deciding the thermodynamic behavior.

4 pages, 5 figures

References in corpus (8)

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• Evidence against a mean field description of short-range spin glasses revealed through thermal boundary conditions
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• Typical versus averaged overlap distribution in Spin-Glasses : Evidence for the droplet scaling theory
• Number of thermodynamic states in the three-dimensional Edwards-Anderson spin glass
• The droplet-scaling versus replica symmetry breaking debate in spin glasses revisited
• The cumulative overlap distribution function in realistic spin glasses
• Low-temperature spin-glass behaviour in a diluted dipolar Ising system
• Low-temperature behavior of the statistics of the overlap distribution in Ising spin-glass models
• Numerical construction of the Aizenman-Wehr metastate
• Thermodynamic Identities and Symmetry Breaking in Short-Range Spin Glasses
• Explicit generation of the branching tree of states in spin glasses
• Numerical simulations of Ising spin glasses with free boundary conditions: the role of droplet excitations and domain walls
• Nature of spin glass order in physical dimensions
• Configuration Memory in Patchwork Dynamics for Low-dimensional Spin Glasses
• Probability Theory in Statistical Physics, Percolation, and Other Random Topics: The Work of C. Newman