We consider the nonlinear Schrödinger–Langevin equation for both signs of logarithmic nonlinearity. explicitly compute dynamics Gaussian solutions large times, which is obtained through study a particular differential order 2. then give asymptotic behavior general energy weak under some regularity assumptions. Some numerical simulations are performed in to corroborate theoretical results.

In this paper, we consider Langevin processes with mechanical constraints. The latter are a fundamental tool in molecular dynamics simulation for sampling purposes and for the computation of free energy differences. The results of this paper can be divided into three parts. (i) We propose a simple discretization of the constrained Langevin process based on a standard splitting strategy. We show...

Influence of mesoscopic channel noise on excitable dynamics of living cells became a hot subject within the last decade, and the traditional biophysical models of neuronal dynamics such as Hodgkin-Huxley model have been generalized to incorporate such effects. There still exists but a controversy on how to do it in a proper and computationally efficient way. Here we introduce an improved Langev...