2004/12/31 by Stefan Grosskinsky, Stefan Großkinsky, T. Hanney +1 · 1 citation
Mathematics · Physics and Astronomy · #Distribution (mathematics) #Materials science #Mathematical analysis #Mathematics #Monte Carlo method #Phase (matter) #Phase diagram #Physics #Quantum mechanics #Random Matrices and Applications #Random walk #Range (aeronautics) #Scaling #Scaling law #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Symmetry (geometry) #Theoretical and Computational Physics #Zero (linguistics) #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.72.016129
published as Phys. Rev. E 72(1), 016129 (2005) · 14 pages, 7 figures
openalex publication_date 2005/07/29 · openalex created_date 2016/06/24 · arxiv created 2018/04/25 · arxiv updated 2018/04/26 · openalex updated_date 2026/08/05
We consider a zero-range process with two species of interacting particles. The steady-state phase diagram of this model shows a variety of condensate phases in which a single site contains a finite fraction of all the particles in the system. Starting from a homogeneous initial distribution, we study the coarsening dynamics in each of these condensate phases, which is expected to follow a scaling law. Random-walk arguments are used to predict the coarsening exponents in each condensate phase. They are shown to depend on the form of the hop rates and on the symmetry of the hopping dynamics. The analytic predictions are found to be in good agreement with the results of Monte Carlo simulations.