Journal
PHYSICAL REVIEW B
Volume 86, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.86.014204
Keywords
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Funding
- EU [290038]
- Italian Ministry of Education, University and Research under CINECA [RBFR08M3P4]
- European Research Council [247328]
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Critical slowing down dynamics of supercooled glass-forming liquids is usually understood at the mean-field level in the framework of mode coupling theory, providing a two-time relaxation scenario and power-law behaviors of the time correlation function at dynamic criticality. In this work we derive critical slowing down exponents of spin-glass models undergoing discontinuous transitions by computing their Gibbs free energy and connecting the dynamic behavior to static in-state properties. Both the spherical and Ising versions are considered and, in the simpler spherical case, a generalization to arbitrary schematic mode coupling kernels is presented. Comparison with dynamic results available in literature is performed. Analytical predictions for the Ising case are provided for any p.
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