2009/07/20 by Federico Corberi, Leticia F. Cugliandolo, Leticia F Cugliandolo · 2 citations
Materials Science · Mathematics · Physics and Astronomy · #Block Copolymer Self-Assembly #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1088/1742-5468/2009/09/p09015
published as J. Stat. Mech. (2009) P09015 · 14 pages 12 figures
arxiv created 2009/07/20 · openalex publication_date 2009/09/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
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 irrespective of the system being in the unjammed or the jammed phase. As a consequence, the evolution of any unblocked configuration occurs in a different sector of phase space from the one that includes the 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 behavior of several observables including the density of particles and vacancies, the spatial correlation function, the time-dependent persistence and the linear response.