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.

arXiv comment14 pages 12 figures

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Cited by in corpus (12)

• Topics in coarsening phenomena
• Fluctuation-dissipation relations and field-free algorithms for the computation of response functions
• Out of equilibrium dynamics in the bidimensional spin-ice model
• Defects dynamics following thermal quenches in square spin-ice
• Aging through hierarchical coalescence in the East model
• Dynamic fluctuations in unfrustrated systems: random walks, scalar fields and the Kosterlitz-Thouless phase
• Hydrodynamics in kinetically-constrained lattice-gas models
• The relation between the structure of blocked clusters and the relaxation dynamics in kinetically-constrained models
• Jamming transition of kinetically-constrained models in rectangular systems
• Jamming by Shape in Kinetically-Constrained Models
• Finite-density effects in the Fredrickson-Andersen and Kob-Andersen kinetically-constrained models
• Constraint relaxation leads to jamming