Browsing by Author "Georgiev, I. T."
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- Anomalous nucleation far from equilibriumGeorgiev, I. T.; Schmittmann, Beate; Zia, Royce K. P. (American Physical Society, 2005-03-25)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 stark discrepancy between earlier simulation data and an analytic conjecture, we argue that the presence of a single macroscopic cluster is an intermediate stage of a complex nucleation process: in smaller systems, this cluster is destabilized while larger systems form multiple clusters. Both limits lead to exponential cluster size distributions, controlled by very different length scales.
- Fluctuations and correlations in lattice models for predator-prey interactionMobilia, M.; Georgiev, I. T.; Täuber, Uwe C. (American Physical Society, 2006-04-01)
- Phase transitions and spatio-temporal fluctuations in stochastic lattice Lotka-Volterra modelsMobilia, M.; Georgiev, I. T.; Täuber, Uwe C. (Springer, 2007-07-01)
- Spatial stochastic predator-prey modelsMobilia, M.; Georgiev, I. T.; Täuber, Uwe C. (2006)We consider a broad class of stochastic lattice predator-prey models, whose main features are overviewed. In particular, this article aims at drawing a picture of the influence of spatial fluctuations, which are not accounted for by the deterministic rate equations, on the properties of the stochastic models. Here, we outline the robust scenario obeyed by most of the lattice predator-prey models with an interaction "a' la Lotka-Volterra". We also show how a drastically different behavior can emerge as the result of a subtle interplay between long-range interactions and a nearest-neighbor exchange process.