Asymptotic analysis for the generalized langevin equation with singular potentials
We consider a system of interacting particles governed by the generalized Langevin
equation (GLE) in the presence of external confining potentials, singular repulsive forces, as …
equation (GLE) in the presence of external confining potentials, singular repulsive forces, as …
The small-mass limit and white-noise limit of an infinite dimensional generalized Langevin equation
HD Nguyen - Journal of Statistical Physics, 2018 - Springer
We study asymptotic properties of the Generalized Langevin Equation (GLE) in the presence
of a wide class of external potential wells with a power-law decay memory kernel. When the …
of a wide class of external potential wells with a power-law decay memory kernel. When the …
The short memory limit for long time statistics in a stochastic Coleman-Gurtin model of heat conduction
NE Glatt-Holtz, VR Martinez, HD Nguyen - ar**
S Wang, W Wang - Journal of Statistical Mechanics: Theory and …, 2023 - iopscience.iop.org
The small-mass limit is derived for a generalized Langevin equation (GLE) with state-
dependent dam** and a kernel expressed as an infinite sum of exponentials. The state …
dependent dam** and a kernel expressed as an infinite sum of exponentials. The state …