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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > On two models for non-instantaneous binary alignment collisions
On two models for non-instantaneous binary alignment collisionsAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact nobody. FKTW03 - Frontiers in kinetic equations for plasmas and collective behaviour It is a standard assumption in kinetic transport theory that collision processes are instantaneous. We shall report on the initiation of a research program, where this idealization is lifted. The idea for modeling binary, non-instantaneous collisions is to replace instantaneous jumps in the state space of a pair of particles by continuous processes taking finite time. The duration of the collision process can be deterministic or stochastic. This results in a system of equations for the particle distribution between collisions and for the distribution of particle pairs during collision processes. Results will be presented on two spatially homogeneous models for non-instantaneous alignment collisions, where in one case the collision time is governed by a simple Poisson process, whereas in the other case collisions end after reaching complete alignment in finite time. For both models existence, long-time behavior, and the instantaneous limit towards a standard kinetic model will be discussed.(joint work with Laura Kanzler and Veronica Tora) This talk is part of the Isaac Newton Institute Seminar Series series. This talk is included in these lists:
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