کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
975300 933023 2008 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Generic two-phase coexistence, relaxation kinetics, and interface propagation in the quadratic contact process: Analytic studies
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Generic two-phase coexistence, relaxation kinetics, and interface propagation in the quadratic contact process: Analytic studies
چکیده انگلیسی

The quadratic contact process is implemented as an adsorption–desorption model on a two-dimensional square lattice. The model involves random adsorption at empty sites, and correlated desorption requiring diagonal pairs of empty neighbors. A simulation study of this model [D.-J. Liu, X. Guo, J.W. Evans, Phys. Rev. Lett. 98 (2007) 050601] revealed the existence of generic two-phase coexistence between a low-coverage active steady-state and a completely covered absorbing state. Here, an analytic treatment of model behavior is developed based on truncation approximations to the exact master equations. Applying this approach for spatially homogeneous states, we characterize steady-state behavior as well as the kinetics of relaxation to the steady-states. Extending consideration to spatially inhomogeneous states, we obtain discrete reaction–diffusion type equations characterizing evolution. These are employed to analyze an orientation-dependence of the propagation of planar interfaces between active and absorbing states which underlies the generic two-phase coexistence. We also describe the dynamics and critical forms of planar perturbations of the active state and of droplets of one phase embedded in the other.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 387, Issue 1, 1 January 2008, Pages 177–201
نویسندگان
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