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Precursor phenomena in frustrated systems.

G Franzese1, A Coniglio

  • 1Diportimento di Fisica E. Amoldi, Università Roma, Tre, via Della Vasca Novole 84, I-00146 Rome, Italy.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
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Investigating glassy systems reveals that dynamical transitions arise from frustration and disorder. These precursor phenomena are linked to Griffiths and Potts transitions, offering insights into relaxation dynamics.

Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Complex Systems

Background:

  • Glassy systems exhibit complex dynamical transitions.
  • Understanding relaxation dynamics above static transitions is crucial.
  • Frustrated spin models provide a framework for studying these phenomena.

Purpose of the Study:

  • To elucidate the origin of dynamical transitions in glassy systems.
  • To investigate the role of frustration and disorder in relaxation dynamics.
  • To analyze precursor phenomena related to phase transitions.

Main Methods:

  • A frustrated spin model, with and without disorder, was analyzed.
  • Monte Carlo simulations were employed to study the model.
  • Phase transitions, including Potts and Griffiths transitions, were examined.

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Main Results:

  • Dynamical transitions are linked to precursor phenomena.
  • In disordered models, precursor phenomena relate to the Griffiths transition.
  • In models without disorder, precursor phenomena relate to the Potts transition.
  • The Potts transition is always present, signaling frustration effects.

Conclusions:

  • Precursor phenomena in frustrated systems stem from disorder and/or frustration.
  • This interpretation consistently explains limiting cases like Ising spin glass and fully frustrated models.
  • The findings have implications for understanding glassy systems beyond spin models.