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

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  • Nishimori, Hidetoshi

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.

Suggested Citation

  • Nishimori, Hidetoshi, 2002. "Complex and non-complex phase structures in models of spin glasses and information processing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 315(1), pages 243-254.
    • Handle: RePEc:eee:phsmap:v:315:y:2002:i:1:p:243-254
    DOI: 10.1016/S0378-4371(02)01228-1
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