T-4: Difference between revisions
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1 | <strong>Goal of these problems: </strong> | ||
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<strong>Key concepts: </strong> | |||
=== RSB and the free-entry landscape === | |||
We have seen two examples of mean-field models in which the low-T phase is glassy: the REM, and the spherical p-spin. Both these problems are described by a 1-RSB ansatz. The overlap matrix is parametrised by three quantity: the typical overlap <math> q_1^{SP} </math> between configurations belonging to the same pure state, the typical overlap <math> q_0^{SP} </math> between configurations belonging to different pure states, and the probability <math> (1-m^{SP}) </math> that two configurations extracted at equilibrium belong to the same state. | |||
Revision as of 16:40, 24 December 2023
Goal of these problems:
Key concepts:
RSB and the free-entry landscape
We have seen two examples of mean-field models in which the low-T phase is glassy: the REM, and the spherical p-spin. Both these problems are described by a 1-RSB ansatz. The overlap matrix is parametrised by three quantity: the typical overlap between configurations belonging to the same pure state, the typical overlap between configurations belonging to different pure states, and the probability that two configurations extracted at equilibrium belong to the same state.
