Out of equilibrium dynamics of the spiral model

Abstract

We study the relaxation of the bi-dimensional kinetically constrained spiral model. We show that due to the reversibility of the dynamic rules any unblocked state fully decorrelates in finite times irrespectively of the system being in the unjammed or the jammed phase. In consequence, the evolution of any unblocked configuration occurs in a different sector of phase space from the one that includes the equilibrium blocked equilibrium configurations at criticality and in the jammed phase. We argue that such out of equilibrium dynamics share many points in common with coarsening in the one-dimensional Ising model and we identify the coarsening structures that are, basically, lines of vacancies. We provide evidence for this claim by analyzing the behaviour of several observables including the density of particles and vacancies, the spatial correlation function, the time-dependent persistence and the linear response.

14 pages 12 figures

References in corpus (7)

• Supercooled Liquids for Pedestrians
• Glassy dynamics of kinetically constrained models
• Fluctuation-dissipation relations in the non-equilibrium critical dynamics of Ising models
• Non-equilibrium dynamics of spin facilitated glass models
• Spiral Model: a cellular automaton with a discontinuous glass transition
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Cited by in corpus (4)

• Dynamic fluctuations in unfrustrated systems: random walks, scalar fields and the Kosterlitz-Thouless phase
• Hydrodynamics in kinetically-constrained lattice-gas models
• Jamming transition of kinetically-constrained models in rectangular systems
• Finite-density effects in the Fredrickson-Andersen and Kob-Andersen kinetically-constrained models