Complex and non-complex phase structures in models of spin glasses and information processing

Hidetoshi Nishimori

Physica A: Statistical Mechanics and its Applications, 2002, vol. 315, issue 1, 243-254

Abstract: The gauge theory of spin glasses and statistical–mechanical formulation of error-correcting codes are reviewed with an emphasis on their similarities. For the gauge theory, we explain the functional identities on dynamical autocorrelation functions and on the distribution functions of order parameters. These functional identities restrict the possibilities of slow dynamics and complex structure of the phase space. An inequality for error-correcting codes is shown to be interpreted to indicate non-monotonicity of spin orientation as a function of the temperature in spin glasses.

Keywords: Spin glass; Gauge theory; Complex phase space; Slow dynamics; Error-correcting codes (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:315:y:2002:i:1:p:243-254

DOI: 10.1016/S0378-4371(02)01228-1

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