Langevin equation in the small mass limit: higher order approximations
Seminar by Jan Wehr from the University of Arizona, Tucson (AZ), USA.
Abstract: We study the Langevin equation describing the motion of a particle of mass m in a potential and/or magnetic field, with state-dependent drift and diffusion. We develop a hierarchy of approximate equations for the position degrees of freedom that achieve accuracy of order m^{k/2} over finite time intervals for any positive integer k. This extends the previous work in which effective equations for the position variables were derived in the limit when the mass goes to zero. The work was done jointly with Jeremiah Birrell.
Place: Nexus, meeting room, Fysik Origo, Fysik
Time: 21 June, 2018, 11:00