Dresden 2006 – scientific programme

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SYSS: Structure Formation and Self-Organization in non-equilibrium Systems

SYSS 2: Structure Formation and Self-Organization in non-equilibrium Systems II

SYSS 2.3: Talk

Thursday, March 30, 2006, 15:00–15:15, BAR Sch\"o

Scaling regimes in bundling dynamics — •Martin Zapotocky, Peter Borowski, and P. K. Mohanty — Max Planck Institut für Physik komplexer Systeme, Dresden, Germany

We discuss the dynamics of bundling in a population of interacting directed random walks. The model is meant to describe structures formed by the growing axons of peripheral neurons. To account for neural turnover, the random walks are removed and replaced at a fixed rate. Based on numerical simulations, we identify two distinct scaling regimes of the asymptotic dynamics. We investigate analytically the form of the distribution of bundle sizes and the values of growth exponents.