Abstract
We introduce a model for dispersion of independent swimmers jumping randomly between multiple translational velocities in arbitrary dimensions. Sample trajectories of the individual swimmers are simulated using the governing stochastic differential equations. The associated Fokker–Planck equations are derived and an analytical prediction is obtained for the effective diffusion constant, which is shown to be consistent with simulations. We show adaptability of the model by fitting to three previous models of swimmers having two or three preferred velocities. We explore how stochastic versus deterministic velocity jump statistics and restricting certain velocity transitions result in different rates of dispersion.
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