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Discrete spin variables and critical temperature in deterministic models with glassy behavior

Giardina1

  • 1Dipartimento di Fisica dell' Universita di Bologna and INFN, Sezione di Bologna, via Irnerio 46, 40126 Bologna, Italy.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
Summary

This study re-examines glassy phase transitions in deterministic spin models. The discrete nature of spin variables in an Ising model with general spin s allows for a glass state.

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Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Complex Systems

Background:

  • The existence of glassy phase transitions in deterministic spin models remains an open question.
  • Previous studies have primarily focused on translationally invariant systems.

Purpose of the Study:

  • To reconsider the problem of glassy phase transitions in deterministic spin models.
  • To investigate the role of spin discreteness in enabling glass states.

Main Methods:

  • Analysis of an Ising model with general spin s.
  • Inclusion of nontranslationally invariant interactions.
  • Examination of the implications of discrete spin variables.

Main Results:

  • The discrete nature of spin variables is demonstrated to be a key factor enabling the glass state.

Related Experiment Videos

  • The study provides a theoretical framework for understanding glassy behavior in non-translationally invariant systems.

    • Conclusions:

    • Deterministic spin models, particularly Ising models with general spin s and non-translationally invariant interactions, can exhibit glassy phase transitions.
    • The discreteness of spin variables is crucial for the formation of the glass state, challenging assumptions of continuous models.