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10 papers · 2 filters
Spontaneously ordered motion of self-propelled particles
Andras Czirok, H. Eugene Stanley, Tamas Vicsek
We study a biologically inspired, inherently non-equilibrium model consisting of self-propelled particles. In the model, particles move on a plane with a velocity of constant magni…
Smoothing a Rock by Chipping
P. L. Krapivsky, S. Redner
We investigate an idealized model for the size reduction and smoothing of a polygonal rock due to repeated chipping at corners. Each chip is sufficiently small so that only a singl…
Flows on Graphs with Random Capacities
T. Antal, P. L. Krapivsky
We investigate flows on graphs whose links have random capacities. For binary trees we derive the probability distribution for the maximal flow from the root to a leaf, and show th…
Transient Nucleation near the Mean-Field Spinodal
A. O. Schweiger, K. Barros, W. Klein
Nucleation is considered near the pseudospinodal in a one-dimensional model with a non-conserved order parameter and long-range interactions. For a sufficiently large system…
Condensates in Driven Aggregation Processes
E. Ben-Naim, P. L. Krapivsky
We investigate aggregation driven by mass injection. In this stochastic process, mass is added with constant rate r and clusters merge at a constant total rate 1, so that both the…
Scaling in Tournaments
E. Ben-Naim, S. Redner, F. Vazquez
We study a stochastic process that mimics single-game elimination tournaments. In our model, the outcome of each match is stochastic: the weaker player wins with upset probability…