Extracting thermodynamic behavior of spin glasses from the overlap function

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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 Ĩ(q) of the integrals of sample-dependent P(q) curves shows promise for deciding the thermodynamic behavior.

Original languageEnglish (US)
Article number220201
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume87
Issue number22
DOIs
StatePublished - Jun 7 2013

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Spin glass
spin glass
Thermodynamics
Sampling
thermodynamics
sampling
curves
configurations
simulation

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

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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 Ĩ(q) of the integrals of sample-dependent P(q) curves shows promise for deciding the thermodynamic behavior.",
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AB - 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 Ĩ(q) of the integrals of sample-dependent P(q) curves shows promise for deciding the thermodynamic behavior.

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