Dresden 2009 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 4: Statistical physics in biological systems II (joint session DY/BP)
DY 4.5: Talk
Monday, March 23, 2009, 15:30–15:45, HÜL 386
Active Dynamics of a Particle with Energetic Shot Noise — •Jessica Strefler1, Werner Ebeling1, Ewa Gudowska-Nowak2, and Lutz Schimansky-Geier1 — 1Institut für Physik, Humboldt-Universität Berlin — 2Institute of Physics, Jagiellonian University, Krakow, Poland
We study the dynamics of a simple model of moving animals. We focus on the influence of stochastic energy supply modeled as shot noise on one particle in two spacial dimensions. We assume that a particle is supplied at discrete times with packets of energy which are stored in an internal energy depot. The energy of this depot is subsequently converted into kinetic energy. If enough energy is supplied the particle moves actively with a nonzero mean velocity. For this model we find two regimes which exhibit different velocity distributions and qualitatively different trajectories. We study deterministic and stochastic bifurcations of different dynamical regimes. In the adiabatic Gaussian limit we derive an analytical solution for the velocity distribution.