5 papers
Asymptotic analysis for the Generalized Relativistic Langevin Equation
Ethan Baker, Manh Hong Duong, Hung Dang Nguyen
In this paper, we study a non-Markovian generalized relativistic Langevin equation (GRLE). We show that when the memory kernel is a sum of exponentials, the GRLE is equivalent to a…
Ergodicity and asymptotic limits for Langevin interacting systems with singular forces and multiplicative noises
Manh Hong Duong, Hung Dang Nguyen, Wenxuan Tao
In this paper, we study systems of interacting particles described by the classical and relativistic Langevin dynamics with singular forces and multiplicative noises. For the c…
Trend to equilibrium and Newtonian limit for the relativistic Langevin equation with singular potentials
Manh Hong Duong, Hung Dang Nguyen
We study a system of interacting particles in the presence of the relativistic kinetic energy, external confining potentials, singular repulsive forces as well as a random perturba…
The inviscid limit for long time statistics of the one-dimensional stochastic Ginzburg-Landau equation
Hung D. Nguyen
We study the long time statistics of a one-dimensional Ginzburg-Landau equation with cubic nonlinearity while being subjected to random perturbations via an additive Gaussian noise…
Asymptotic analysis for the generalized Langevin equation with singular potentials
Manh Hong Duong, Hung D. Nguyen
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 we…