Sherrington-Kirkpatrick Model

The Sherrington-Kirkpatrick model is a mean-field Ising spin glass with independent random pair couplings. In the zero-field Gaussian convention, are independent standard normal random variables, $sigma in {-1,1}^n$ , and the normalized partition function is

The inverse temperature is and the critical inverse temperature in this normalization is 1. Put , so is thermodynamic pressure.

See also

Ising Model, Parisi Functional, Replica Symmetry Breaking, Spin Glass, Thermodynamic Pressure

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References

Talagrand, M. Mean Field Models for Spin Glasses, Vol. I: Basic Examples. Berlin: Springer, 2011. https://doi.org/10.1007/978-3-642-15202-3.

Cite this as:

Weisstein, Eric W. "Sherrington-Kirkpatrick Model." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Sherrington-KirkpatrickModel.html

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