2005/03/31 by Subhrajit Dutta, Soumen Roy, Soumen Kumar Roy · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Classical XY model #Condensed matter physics #Domain (mathematical analysis) #Geometry #Liquid crystal #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Dynamics and Pattern Formation #Nuclear magnetic resonance #Persistence (discontinuity) #Persistence length #Phase transition #Physics #Polymer #Scaling #Sign (mathematics) #Spin (aerodynamics) #Spin model #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Thermodynamics #cond-mat.other #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1088/0305-4470/38/26/002
8 figures, only three new references are included in this version. (ref. 18 and ref. 32)
arxiv created 2005/04/07 · openalex publication_date 2005/06/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The persistence exponents associated with the T = 0 quenching dynamics of the two-dimensional XY model and a two-dimensional uniaxial spin nematic model have been evaluated using a numerical simulation. The site persistence or the probability that the sign of a local spin component does not change starting from initial time t = 0 up to a certain time t , is found to decay as L ( t ) −θ ( L ( t ) is the linear domain length scale), with θ = 0.305(±0.020) for the two-dimensional XY model and 0.199(±0.009) for the two-dimensional uniaxial spin nematic model. We have also investigated the scaling (at the late time of phase ordering) associated with the correlated persistent sites in both models. The persistence correlation length was found to grow in the same way as L ( t ).