2009/03/31 by Adam Lipowski, Dorota Lipowska
Materials Science · Mathematics · Physics and Astronomy · #Block (permutation group theory) #Block size #Cluster (spacecraft) #Cluster size #Combinatorics #Computer science #Diffusion #Dynamics (music) #Ising model #Material Dynamics and Properties #Mathematics #Molecular dynamics #Particle (ecology) #Physics #Power law #Quantum mechanics #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Thermodynamics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.79.060102
published as Phys. Rev. E 79, 060102 (Rapid Comm.) (2009) · minor changes, final version
openalex publication_date 2009/06/17 · arxiv created 2009/06/18 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study a two-lane model of two species of particles that perform biased diffusion. Extensive numerical simulations show that when bias q is strong enough, oppositely drifting particles form some clusters that block each other. Coarsening of such clusters is very slow and their size increases logarithmically in time. For smaller q, particles collapse essentially on a single cluster whose size seems to diverge at a certain value of q=qc. Simulations show that despite slow coarsening, the model has rather large power-law cooling-rate effects. It makes its dynamics different from glassy systems but similar to some three-dimensional Ising-type models (gonihedric models).