The University of Arizona

Small Mass Limit of Noisy Inertial Particle Dynamics: Homogenization, Instantaneous Equilibration, and Entropy Production

Small Mass Limit of Noisy Inertial Particle Dynamics: Homogenization, Instantaneous Equilibration, and Entropy Production

Series: Mathematical Physics and Probability Seminar
Location: Math 402
Presenter: Jeremiah Birrell, University of Massachusetts, Amherst

I will discuss the dynamics of an inertial particle, coupled to forcing, dissipation, and noise, in the small mass limit. Specifically, the following aspects will be addressed:

-homogenized equation for the position degrees of freedom in the limit

-convergence of the joint distribution of position and (scaled) velocity degrees of freedom and instantaneous equilibration of the (scaled) velocity.

-entropy production and entropy anomaly in the small mass limit

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