T-4: Difference between revisions
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<strong>Goal: </strong> understand the information encoded in the replica solution, and the difference between Replica Symmetry (RS) and Replica Symmetry Breaking (RSB). | <!--<strong>Goal: </strong> understand the information encoded in the replica solution, and the difference between Replica Symmetry (RS) and Replica Symmetry Breaking (RSB). | ||
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<strong>Techniques: </strong> replica method, variational ansatz, saddle point approximation.<br> | <strong>Techniques: </strong> replica method, variational ansatz, saddle point approximation.<br> | ||
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<div style="font-size:89%"> | <div style="font-size:89%"> | ||
The magnetic susceptibility does not diverge at the spin-glass critical temperature. One can identify a more complicated object, the <em> spin-glass susceptibility </em>, that does diverge at the transition. At variance with the magnetic susceptibility, that is related to a 2-point function (the correlation, which involves two spins), the spin-glass susceptibility is associated to a 4-point function. This is consistent with the fact that the order parameter of the spin-glass phase, <math> q_{EA} </math>, is itself a 2-point function, while the magnetization that is a 1-point function.. | The magnetic susceptibility does not diverge at the spin-glass critical temperature. One can identify a more complicated object, the <em> spin-glass susceptibility </em>, that does diverge at the transition. At variance with the magnetic susceptibility, that is related to a 2-point function (the correlation, which involves two spins), the spin-glass susceptibility is associated to a 4-point function. This is consistent with the fact that the order parameter of the spin-glass phase, <math> q_{EA} </math>, is itself a 2-point function, while the magnetization that is a 1-point function.. | ||
</div> | </div>--> | ||
Revision as of 19:58, 2 February 2024