T-4: Difference between revisions
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<strong>Goal: </strong> Understand some physical properties of mean-field spin glasses in the low-T phase: the structure of the free-energy landscape, the response of the system to applied magnetic fields. | <!--<strong>Goal: </strong> Understand some physical properties of mean-field spin glasses in the low-T phase: the structure of the free-energy landscape, the response of the system to applied magnetic fields. | ||
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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.. | ||
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