Gauge glass, spin glass and coding theory — exact results

Hidetoshi Nishimori

Physica A: Statistical Mechanics and its Applications, 1994, vol. 205, issue 1, 1-14

Abstract: A variety of exact and rigorous results are derived for statistical-mechanical models of gauge glasses and their generalizations. In particular, I prove the absence of gauge glass ordering in two dimensions at finite temperatures. I also calculate the exact value of the internal energy in a subspace of the phase diagram. A close relationship between the spin glass problem and coding theory is used to prove the conjecture of Ruján. That is, decoding of transmitted signals at a particular finite temperature is shown to have the smallest bit error rate. Most of these results are derived by a unified method of gauge transformation.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:205:y:1994:i:1:p:1-14

DOI: 10.1016/0378-4371(94)90487-1

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