28 citations · 83 across the 6 of their papers we have counts for
6 papers
Will jams get worse when slow cars move over?
B. Schmittmann, J. Krometis, R. K. P. Zia
Motivated by an analogy with traffic, we simulate two species of particles (`vehicles'), moving stochastically in opposite directions on a two-lane ring road. Each species prefers…
Anomalous nucleation far from equilibrium
Ivan T. Georgiev, Beate Schmittmann, Royce K. P. Zia
We present precision Monte Carlo data and analytic arguments for an asymmetric exclusion process, involving two species of particles driven in opposite directions on a …
Gas permeation through a polymer network
B. Schmittmann, Manoj Gopalakrishnan, R. K. P. Zia
We study the diffusion of gas molecules through a two-dimensional network of polymers with the help of Monte Carlo simulations. The polymers are modeled as non-interacting random w…
Exact dynamics of a reaction-diffusion model with spatially alternating rates
M. Mobilia, B. Schmittmann, R. K. P. Zia
We present the exact solution for the full dynamics of a nonequilibrium spin chain and its dual reaction-diffusion model, for arbitrary initial conditions. The spin chain is driven…
Bond percolation of polymers
Manoj Gopalakrishnan, Beate Schmittmann, R. K. P. Zia
We study bond percolation of non-interacting Gaussian polymers of segments on a 2D square lattice of size with reflecting boundaries. Through simulations, we find th…
Fluctuations and correlations in an individual-based model of biological coevolution
R. K. P. Zia, Per Arne Rikvold
We extend our study of a simple model of biological coevolution to its statistical properties. Staring with a complete description in terms of a master equation, we provide its rel…