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Replica symmetry breaking in the `small world' spin glass
Published on Feb 25, 20073883 Views
We apply the cavity method to an Ising spin glass model on a `small world' lattice, a random bond graph super-imposed upon a 1-dimensional ferromagnetic ring. Using the scheme developed by Mézard & Pa
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Chapter list
1RSB in the ‘small-world’ spin glass00:01
Introduction and motivation02:08
Why bother?03:54
Definitions10:09
Dealing with the randomness13:07
The Cavity method on a random graph16:44
The Cavity method on a random graph (cont.)28:09
Cavity method for the ‘small-world’ lattice30:02
Cavity method for the ‘small-world’ lattice (cont.)40:37
One step RSB40:46
One step RSB (cont.)46:07
Numerical results53:19
Numerical results (cont.)56:25
Simulations57:48
Conclusions and outlook59:05