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

Hidetoshi Nishimori

Research output: Contribution to journalConference article

1 Citation (Scopus)

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.

Original languageEnglish
Pages (from-to)243-254
Number of pages12
JournalPhysica A: Statistical Mechanics and its Applications
Volume315
Issue number1-2
DOIs
Publication statusPublished - 2002 Nov 15
Externally publishedYes
EventSlow Dynamical Processes in Nature - Seoul, Korea, Republic of
Duration: 2001 Nov 252001 Nov 27

Keywords

  • Complex phase space
  • Error-correcting codes
  • Gauge theory
  • Slow dynamics
  • Spin glass

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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