The effects of local inhomogeneity in a two-lane asymmetric simple exclusion process coupled with Langmuir kinetics are studied. The model is related to some biological processes such as the movement of molecular motors on parallel homogeneous and inhomogeneous filaments without restrictions for...

In this paper, we investigate totally asymmetric exclusion processes (TASEPs) on lattices with an m-input n-output junction in parallel update. A general theoretical solution for traffic dynamics of TASEPs with a junction is developed. More interestingly, m-input n-output junctions can be...

Effects of uniform temperature and linear temperature gradient on flow rate and density profile of fluid driven from a source to an open system is studied by a Monte Carlo simulation in three dimensions. The steady-state density profile with uniform temperature differs significantly from that of...

We investigate an influence of impurity dimers on the profile of monomer and island densities and the dynamic scaling of island size distributions when small amount of dimers are deposited with the flux of monomers in epitaxial growth. The rate equations are solved numerically using the...

The electric double layer of co- and counterions around a finite, disc-shaped, uniformly charged clay platelet in a spherical or cylindrical Wigner-Seitz cell is studied within the linearized Poisson-Boltzmann theory. Explicit expressions are obtained for the density profiles, in the form of...

In this article, the effects of irreversible detachments of particles in totally asymmetric simple exclusion processes (TASEPs) with extended particles which occupy more than one lattice site, are investigated. First, an approximate mean-field theory is used to calculate phase diagrams and...