122 citations · 374 across the 5 of their papers we have counts for
5 papers
Repeated bond traversal probabilities for the simple random walk
T. Antal, H. J. Hilhorst, R. K. P. Zia
We consider the average number B_m(t) of bonds traversed exactly m times by a t step simple random walk. We determine B_m(t) explicitly in the scaling limit t -> oo with m/sqrt(t)…
Phase Transitions and Oscillations in a Lattice Prey-Predator Model
Tibor Antal, Michel Droz
A coarse grained description of a two-dimensional prey-predator system is given in terms of a 3-state lattice model containing two control parameters: the spreading rates of preys…
Asymmetric exclusion process with next-nearest-neighbor interaction: some comments on traffic flow and a nonequilibrium reentrance transition
T. Antal, G. M. Schütz
We study the steady-state behavior of a driven non-equilibrium lattice gas of hard-core particles with next-nearest-neighbor interaction. We calculate the exact stationary distribu…
Formation of Liesegang patterns: A spinodal decomposition scenario
T. Antal, M. Droz, J. Magnin +1
Spinodal decomposition in the presence of a moving particle source is proposed as a mechanism for the formation of Liesegang bands. This mechanism yields a sequence of band positio…
Isotropic Transverse XY Chain with Energy- and Magnetization Currents
T. Antal, Z. Racz, A. Rakos +1
The ground-state correlations are investigated for an isotropic transverse XY chain which is constrained to carry either a current of magnetization J_M or a current of energy J_E.…