Slow dynamics in a driven two-lane particle system
A. Lipowski1 , D. Lipowska2
1 Faculty of Physics, Adam Mickiewicz University, Umultowska 85, 61-614, Poznan, Poland
2 Institute of Linguistics, Adam Mickiewicz University, 60-371 Poznań, Poland
Phys Rev E, 79, 060102 (2009)
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).