Topics that are discussed include: white noise; the Chapman-Kolmogorov equation — Kramers-Moyal expansion; the Langevin equation; the Fokker-Planck equation; Brownian motion of a free particle; ...

From Brownian motion to the motion of an electron in a two-dimensional lattice The model we propose is essentially based on Brownian motion, studied by Albert Einstein 1,2 and subsequently by Paul ...

Abstract: The paper begins with a brief description of the Langevin equation of nonequilibrium thermodynamics. In so doing, I set the stage for analyzing the statistical learning behavior of the ...

The ab initio generalized Langevin equation (AIGLE) model is proposed to bridge the gap, by learning accurately an effective equation of motion for multidimensional CG variables from molecular ...

In this article, using the (α, β) resolvent operator and three different fixed point theorems, we discuss the control problem for a class of Hilfer fractional Langevin evolution equations. The exact ...

093050 For more detailed information about the methods functions in comb-model, please consult its documentation. This package offers functions to simulate Fractional Brownian walks on a plane or Comb ...