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==Theory Questions: Example 1==
Consider the spherical $p$-spin model in the $T<T_c$ spin glass phase, where $T_c$ is the temperature where Replica Symmetry Breaking occurs. Consider the overlap $q(\sigma, \sigma')$ between two configurations extracted with the Boltzmann measure: is this a self-averaging quantity? Why?
Consider the spherical p-spin model in the $T<T_c$ spin glass phase, where $T_c$ is the temperature where Replica Symmetry Breaking occurs. Consider the overlap $q(\sigma, \sigma')$ between two configurations extracted with the Boltzmann measure: is this a self-averaging quantity? Why?

Revision as of 17:02, 15 March 2026

Theory Questions: Example 1

Consider the spherical p-spin model in the $T<T_c$ spin glass phase, where $T_c$ is the temperature where Replica Symmetry Breaking occurs. Consider the overlap $q(\sigma, \sigma')$ between two configurations extracted with the Boltzmann measure: is this a self-averaging quantity? Why?

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