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.
<strong>Techniques: </strong> replica method, variational ansatz, saddle point approximation.<br>
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== The overlaps, and why they tell us about glassiness==
== The overlaps, and why they tell us about glassiness==
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In the ferromagnet there are two pure states, <math>\alpha= \pm 1 </math>, that correspond to positive and negative magnetization.  
In the ferromagnet there are two pure states, <math>\alpha= \pm 1 </math>, that correspond to positive and negative magnetization.  
<!--The free energy barrier that one has to overcome to go from one state to the other diverges when <math> N \to \infty </math>, and thus the system is dynamically trapped only in one state. -->
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Revision as of 18:34, 31 January 2024