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cond-mat.stat-mech2008
Non-Hermitian delocalization and the extinction transition
David A. Kessler, Nadav M. Shnerb
Logistic growth on a static heterogenous substrate is studied both above and below the drift-induced delocalization transition. Using stochastic, agent-based simulations the deloca…
cond-mat.stat-mech2008
Extinction transition on diffusive substrate: a different universality class?
Galit Evron, David A. Kessler, Nadav M. Shnerb
The extinction transition on a one dimensional heterogeneous substrate with diffusive correlations is studied. Diffusively correlated heterogeneity is shown to affect the location…
cond-mat.stat-mech2000
Spreading and annihilating particles: surprises from mean-field theory
Georg Foltin, Karin A. Dahmen, Nadav M. Shnerb
We study the pairwise annihilation process inert of a number of random walkers, which originally are localized in a small region in space. The size of the colony and the t…