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Slow dynamics in the three-dimensional gonihedric model.

P Dimopoulos1, D Espriu, E Jané

  • 1Departament d'Estructura i Constituents de la Materia, Universitat de Barcelona, Diagonal 647, 08028 Barcelona, Spain. petros@ecm.ub.es

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 7, 2003
PubMed
Summary

This study explores the slow dynamics and glassy behavior of three-dimensional gonihedric spin models using Monte Carlo simulations. The research reveals distinct dynamical regimes and aging phenomena without introducing disorder.

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Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Geometrical Models

Background:

  • Gonihedric spin models originate from string and random surface theory.
  • These models are analyzed from a statistical mechanics perspective.
  • Investigating slow dynamics and glassy behavior in systems without disorder is crucial.

Purpose of the Study:

  • To study the dynamical aspects of three-dimensional gonihedric spin models.
  • To analyze the emergence of slow dynamics and glassy behavior without disorder.
  • To determine the critical temperatures and relaxation properties of these models.

Main Methods:

  • Monte Carlo simulations were employed to study the dynamical properties.
  • Analysis of relaxation properties at low temperatures.

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  • Investigation of configurations and aging phenomena.

    • Main Results:

    • For kappa=0, two distinct dynamical regimes were observed: stretched exponential relaxation above T(g) and logarithmic dynamics below T(g).
    • Accurate determination of the glass transition temperature T(g) was achieved.
    • For kappa=1, slow dynamics and glassy behavior were found for all T

    Conclusions:

    • Gonihedric spin models exhibit complex dynamics and glassy behavior without inherent disorder.
    • The models display distinct temperature-dependent dynamical regimes and aging phenomena.
    • These findings contribute to understanding glassy dynamics in purely geometrical systems.