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The phenomenon of protein synthesis has been modeled in terms of totally asymmetric simple exclusion processes (TASEP) since 1968. In this article, we provide a tutorial of the biological andâ€¦ (More)

Nonequilibrium steady states in driven diffusive systems exhibit many features which are surprising or counterintuitive, given our experience with equilibrium systems. We introduce the prototypeâ€¦ (More)

In the process of translation, ribosomes read the genetic code on an mRNA and assemble the corresponding polypeptide chain. The ribosomes perform discrete directed motion which is well modeled by aâ€¦ (More)

- Jennifer J Dong, Beate Schmittmann, R. K. P. Zia
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2007

We study the effects of local inhomogeneities, i.e., slow sites of hopping rate q<1, in a totally asymmetric simple exclusion process for particles of size l>or=1 (in units of the lattice spacing).â€¦ (More)

- Izabella JÃºlia Benczik, SÃ¡ndor ZoltÃ¡n Benczik, Beate Schmittmann, R. K. P. Zia
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2009

We revisit the classical model for voter dynamics in a two-party system with two basic modifications. In contrast to the original voter model studied in regular lattices, we implement the opinionâ€¦ (More)

- I T Georgiev, Beate Schmittmann, R. K. P. Zia
- Physical review letters
- 2005

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 2xL lattice. To resolve a starkâ€¦ (More)

â€“ Biased diffusion of two species with conserved dynamics on a 2Ã—L periodic lattice is studied via Monte Carlo simulations. In contrast to its simple one-dimensional version on a ring, this quasiâ€¦ (More)

- Daniel A. Adams, Beate Schmittmann, R. K. P. Zia
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2007

A two-dimensional lattice gas of two species, driven in opposite directions by an external force, undergoes a jamming transition if the filling fraction is sufficiently high. Using Monte Carloâ€¦ (More)

â€“ 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 one lane over theâ€¦ (More)

- Beate Schmittmann, Abhishek Mukhopadhyay
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2010

We study the evolution of binary opinions on a simple adaptive network of N nodes. At each time step, a randomly selected node updates its state ("opinion") according to the majority opinion of theâ€¦ (More)