99 citations · 291 across the 12 of their papers we have counts for
4 papers · 1 filter
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…
Complete Solution of the Kinetics in a Far-from-equilibrium Ising Chain
M. Mobilia, R. K. P. Zia, B. Schmittmann
The one-dimensional Ising model is easily generalized to a \textit{genuinely nonequilibrium} system by coupling alternating spins to two thermal baths at different temperatures. He…
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…