47 citations · 272 across the 43 of their papers we have counts for
Showing 2017 · math-phShow all
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math-ph2017★ 5 cited
Entropy Anomaly in Langevin-Kramers Dynamics with a Temperature Gradient, Matrix Drag, and Magnetic Field
Jeremiah Birrell
We investigate entropy production in the small-mass (or overdamped) limit of Langevin-Kramers dynamics. The results generalize previous works to provide a rigorous derivation that…
math-ph2017
A homogenization theorem for Langevin systems with an application to Hamiltonian dynamics
Jeremiah Birrell, Jan Wehr
This paper studies homogenization of stochastic differential systems. The standard example of this phenomenon is the small mass limit of Hamiltonian systems. We consider this case…
math-ph2017★ 3 cited
Phase Space Homogenization of Noisy Hamiltonian Systems
Jeremiah Birrell, Janek Wehr
We study the dynamics of an inertial particle coupled to forcing, dissipation, and noise in the small mass limit. We derive an expression for the limiting (homogenized) joint distr…