Mixtures of random flights and their applications in statistical physics

Ricciuti Costantino, Department of Statistical Sciences

We study mixtures of random flights defined from Markov processes by means of random rescaling of time. Among the various examples, we consider doubly stochastic Poisson and diffusion processes. However, the example which we have paid most attention to is a transport process with infinite mean flight times. The latter is potentially relevant in statistical physics, since it arises as the scaling limit of a mechanical model for the motion of a particle among randomly distributed obstacles. This is a joint work with Enrico Scalas and Bruno Toaldo.

Area: CS54 - Random motions and first passage times (Alessandra Meoli and Costantino Ricciuti)

Keywords: random flights, fractional equations, kinetic theory

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