• Curvature-driven coarsening in the two-dimensional Potts model 

      Loureiro, Marcos Paulo de Oliveira; Arenzon, Jeferson Jacob; Cugliandolo, Leticia F.; Sicilia, Alberto (2010) [Artigo de periódico]
      We study the geometric properties of polymixtures after a sudden quench in temperature. We mimic these systems with the q-states Potts model on a square lattice with and without weak quenched disorder, and their evolution ...
    • Domain growth morphology in curvature-driven two-dimensional coarsening 

      Sicilia, Alberto; Arenzon, Jeferson Jacob; Bray, Alan J.; Cugliandolo, Leticia F. (2007) [Artigo de periódico]
      We study the distribution of domain areas, areas enclosed by domain boundaries ("hulls”), and perimeters for curvature-driven two-dimensional coarsening, employing a combination of exact analysis and numerical studies, for ...
    • Exact results for curvature-driven coarsening in two dimensions 

      Arenzon, Jeferson Jacob; Bray, Alan J.; Cugliandolo, Leticia F.; Sicilia, Alberto (2007) [Artigo de periódico]
      We consider the statistics of the areas enclosed by domain boundaries (‘‘hulls’’) during the curvaturedriven coarsening dynamics of a two-dimensional nonconserved scalar field from a disordered initial state. We show that ...
    • Experimental test of curvature-driven dynamics in the phase ordering of a two dimensional liquid crystal 

      Sicilia, Alberto; Arenzon, Jeferson Jacob; Dierking, Ingo; Bray, Alan J.; Cugliandolo, Leticia F.; Martínez Perdiguero, Josu; Alonso, Ibon; Pintre, Inmaculada C. (2008) [Artigo de periódico]
      We study electric field driven deracemization in an achiral liquid crystal through the formation and coarsening of chiral domains. It is proposed that deracemization in this system is a curvature-driven process. We test ...
    • Geometrical properties of the Potts model during the coarsening regime 

      Loureiro, Marcos Paulo de Oliveira; Arenzon, Jeferson Jacob; Cugliandolo, Leticia F. (2012) [Artigo de periódico]
      We study the dynamic evolution of geometric structures in a polydegenerate system represented by a q-state Potts model with nonconserved order parameter that is quenched from its disordered into its ordered phase. The ...
    • Geometry of phase separation 

      Sicilia, Alberto; Sarrazin, Yoann; Arenzon, Jeferson Jacob; Bray, Alan J.; Cugliandolo, Leticia F. (2009) [Artigo de periódico]
      We study the domain geometry during spinodal decomposition of a 50:50 binary mixture in two dimensions. Extending arguments developed to treat nonconserved coarsening, we obtain approximate analytic results for the ...
    • Slicing the three-dimensional Ising model : critical equilibrium and coarsening dynamics 

      Arenzon, Jeferson Jacob; Cugliandolo, Leticia F.; Picco, Marco (2015) [Artigo de periódico]
      We study the evolution of spin clusters on two-dimensional slices of the three-dimensional Ising model in contact with a heat bath after a sudden quench to a subcritical temperature. We analyze the evolution of some simple ...