T-2: Difference between revisions
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=== Quenched vs annealed, and the replica trick=== | === Quenched vs annealed, and the replica trick=== | ||
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<li> '''The replica trick.''' | <li> '''The replica trick.''' | ||
In Problems 1, we defined the <ins>quenched free energy</ins> as the quantity controlling the scaling of the typical value of the partition function <math>Z </math>, which means: | In Problems 1, we defined the <ins>quenched free energy</ins> as the quantity controlling the scaling of the typical value of the partition function <math>Z </math>, which means: | ||
Revision as of 18:02, 13 January 2024
Goal:
In this set of problems, we use the replica method to study the equilibrium properties of a prototypical mean-field model of glasses, the spherical -spin model.
We set up the calculation in these two problems, and conclude it next week.
Techniques: replica trick, Gaussian integrals.
