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• W3099820683 abstract "This paper considers a new model of individual displacement, based on fish motion, the so-called Persistent Turning Walker (PTW) model, which involves an Ornstein-Uhlenbeck process on the curvature of the particle trajectory. The goal is to show that its large time and space scale dynamics is of diffusive type, and to provide an analytic expression of the diffusion coefficient. Two methods are investigated. In the first one, we compute the large time asymptotics of the variance of the individual stochastic trajectories. The second method is based on a diffusion approximation of the kinetic formulation of these stochastic trajectories. The kinetic model is a Fokker-Planck type equation posed in an extended phase-space involving the curvature among the kinetic variables. We show that both methods lead to the same value of the diffusion constant. We present some numerical simulations to illustrate the theoretical results." @default.
• W3099820683 created "2020-11-23" @default.
• W3099820683 creator A5025292969 @default.
• W3099820683 creator A5080780430 @default.
• W3099820683 date "2008-04-01" @default.
• W3099820683 modified "2023-10-03" @default.
• W3099820683 title "Large Scale Dynamics of the Persistent Turning Walker Model of Fish Behavior" @default.
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• W3099820683 doi "https://doi.org/10.1007/s10955-008-9529-8" @default.
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