47 citations · 272 across the 43 of their papers we have counts for
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Langevin equations in the small-mass limit: Higher-order approximations
Jeremiah Birrell, Jan Wehr
We study the small-mass (overdamped) limit of Langevin equations for a particle in a potential and/or magnetic field with matrix-valued and state-dependent drift and diffusion. We…
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…
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…
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…
Homogenization of Dissipative, Noisy, Hamiltonian Dynamics
Jeremiah Birrell, Jan Wehr
We study the dynamics of a class of Hamiltonian systems with dissipation, coupled to noise, in a singular (small mass) limit. We derive the homogenized equation for the position de…
Small Mass Limit of a Langevin Equation on a Manifold
Jeremiah Birrell, Scott Hottovy, Giovanni Volpe +1
We study damped geodesic motion of a particle of mass on a Riemannian manifold, in the presence of an external force and noise. Lifting the resulting stochastic differential eq…