33 citations · 133 across the 20 of their papers we have counts for
6 papers · 2 filters
On diffusion in narrow random channels
Mark Freidlin, Wenqing Hu
We consider in this paper a solvable model for the motion of molecular motors. Based on the averaging principle, we reduce the problem to a diffusion process on a graph. We then ca…
On stochasticity in nearly-elastic systems
Mark Freidlin, Wenqing Hu
Nearly-elastic model systems with one or two degrees of freedom are considered: the system is undergoing a small loss of energy in each collision with the "wall". We show that inst…
Smoluchowski-Kramers approximation in the case of variable friction
Mark Freidlin, Wenqing Hu
We consider the small mass asymptotics (Smoluchowski-Kramers approximation) for the Langevin equation with a variable friction coefficient. The limit of the solution in the classic…
On perturbations of generalized Landau-Lifshitz dynamics
Mark Freidlin, Wenqing Hu
We consider deterministic and stochastic perturbations of dynamical systems with conservation laws in . The Landau-Lifshitz equation for the magnetization dynamics in ferroma…
On second order elliptic equations with a small parameter
Mark Freidlin, Wenqing Hu
The Neumann problem with a small parameter is considered in this paper.…
Small mass asymptotic for the motion with vanishing friction
Mark Freidlin, Wenqing Hu, Alexander Wentzell
We consider the small mass asymptotic (Smoluchowski-Kramers approximation) for the Langevin equation with a variable friction coefficient. The friction coefficient is assumed to be…