Advantages of Hopping on a Zig-zag Course

Abstract

We investigate self-moving particles which prefer to hop with a certain turning angle equally distributed to the right or left. We assume this turning angle distribution to be given by a double Gaussian distribution. Based on the model of Active Brownian particles and we calculate the diffusion coefficient in dependence on the mean and the dispersion of the turning angles. It is shown that bounded distribution of food in patches will be optimally consumed by the objects if they hop preferably with a given angle and not straight forwardly.

10 pages, 3 figures, accepted to be published in Physica A

References in corpus (5)

• Social Force Model for Pedestrian Dynamics
• Traffic and Related Self-Driven Many-Particle Systems
• Active Walker Model for the Formation of Human and Animal Trail Systems
• Brownian Particles far from Equilibrium
• Active Brownian Particle and Random Walk Theories of the Motions of Zooplankton: Application to Experiments with Swarms of Daphnia

Cited by in corpus (6)

• Active Brownian Particles. From Individual to Collective Stochastic Dynamics
• Active motion assisted by correlated stochastic torques
• Collective motion of active Brownian particles in one dimension
• Active Particles Forced by an Asymmetric Dichotomous Angle Drive
• Diffusion of Active Particles With Stochastic Torques Modeled as $\alpha$-Stable Noise
• Rectification of motion in nonlinear media with asymmetric random drive