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Self-reinforcement, superdiffusion and subdiffusion

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TUR - Mathematical aspects of turbulence: where do we stand?

I will introduce a persistent random walk model with finite velocity and self-reinforcing directionality, which explains how exponentially distributed runs can lead to superdiffusion observed in active intracellular transport. We derive the governing hyperbolic partial differential equation for the probability density function (PDF) of particle positions. This PDF exhibits a bimodal density (aggregation phenomena) in the superdiffusive regime. I also present the exact solutions for the first and second moments and the criteria for the transition to superdiffusion. Furthermore, this model is extended to incorporate rests which can lead to both superdiffusive or subdiffusive motion.

This talk is part of the Isaac Newton Institute Seminar Series series.

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