15 citations · 23 across the 2 of their papers we have counts for
5 papers
Transient rectification of Brownian diffusion with asymmetric initial distribution
A. V. Plyukhin, A. M. Froese
In an ensemble of non-interacting Brownian particles, a finite systematic average velocity may temporarily develop, even if it is zero initially. The effect originates from a small…
Does a Brownian particle equilibrate?
A. V. Plyukhin
The conventional equations of Brownian motion can be derived from the first principles to order , where and are the masses of a bath molecule and a Brownian partic…
Hitchhiking transport in quasi-one-dimensional systems
A. V. Plyukhin
In the conventional theory of hopping transport the positions of localized electronic states are assumed to be fixed, and thermal fluctuations of atoms enter the theory only throug…
On the higher order corrections to the Fokker-Planck equation
A. V. Plyukhin
The Rayleigh model of nonlinear Brownian motion is revisited in which the heavy particle of mass M interacts with ideal gas molecules of mass m via instantaneous collisions. Using…
Langevin Equation for the Rayleigh model with finite-ranged interactions
Alexander V. Plyukhin, Jeremy Schofield
Both linear and nonlinear Langevin equations are derived directly from the Liouville equation for an exactly solvable model consisting of a Brownian particle of mass interactin…