Test particles in a gas: Markovian and non-Markovian Langevin dynamics

L Ferrari - Chemical Physics, 2019 - Elsevier
The description of the behaviour of test particles in a gas through Markovian and non-
Markovian Langevin dynamics is critically examined. In the Markovian case, in the Maxwell …

[图书][B] Applications of fractional calculus to modeling in dynamics and chaos

JF Gomez-Aguilar, A Atangana - 2022 - books.google.com
Applications of Fractional Calculus to Modeling in Dynamics and Chaos aims to present
novel developments, trends, and applications of fractional-order derivatives with power law …

Non-Markovian harmonic oscillator across a magnetic field and time-dependent force fields

JC Hidalgo-Gonzalez, JI Jiménez-Aquino - Physical Review E, 2019 - APS
We study the non-Markovian Brownian motion of an electrically charged harmonic oscillator
through the action of both a constant magnetic field and time-dependent force fields. The …

Fokker-Planck equation for the non-Markovian Brownian motion in the presence of a magnetic field

J Das, S Mondal, BC Bag - The Journal of chemical physics, 2017 - pubs.aip.org
In the present study, we have proposed the Fokker-Planck equation in a simple way for a
Langevin equation of motion having ordinary derivative (OD), the Gaussian random force …

Non-Markovian Brownian motion in a magnetic field and time-dependent force fields

JC Hidalgo-Gonzalez, JI Jiménez-Aquino… - Physica A: Statistical …, 2016 - Elsevier
This work focuses on the derivation of the velocity and phase-space generalized Fokker–
Planck equations for a Brownian charged particle embedded in a memory thermal bath and …

Brownian motion of charged particles driven by correlated noise in magnetic field

V Lisy, J Tothova - Transport Theory and Statistical Physics, 2013 - Taylor & Francis
Analytical solutions of the generalized Langevin equation have been found for the time
correlation functions describing the motion of a charged Brownian particle in an external …

Directed transport of confined Brownian particles with torque

PK Radtke, L Schimansky-Geier - … Review E—Statistical, Nonlinear, and Soft …, 2012 - APS
We investigate the influence of an additional torque on the motion of Brownian particles
confined in a channel geometry with varying width. The particles are driven by random …

Langevin original approach and Ornstein–Uhlenbeck-type processes

O Contreras-Vergara, N Lucero-Azuara… - Physica A: Statistical …, 2021 - Elsevier
This paper applies Langevin idea to describe the Brownian motion of a particle
characterized by an Ornstein–Uhlenbeck-type process. The original and clever method …

Inertial active Ornstein-Uhlenbeck particle in the presence of a magnetic field

M Muhsin, M Sahoo - Physical Review E, 2022 - APS
We consider an inertial active Ornstein-Uhlenbeck particle in an athermal bath. The particle
is charged, constrained to move in a two-dimensional harmonic trap, and a magnetic field is …

Memory induced re-entrant behaviour of a harmonically confined active particle in a magnetic field

M Muhsin, F Adersh, M Sahoo - Physica A: Statistical Mechanics and its …, 2023 - Elsevier
The dynamics of a charged inertial active Ornstein–Uhlenbeck particle in viscoelastic
suspension is studied by introducing a time dependent memory kernel in the viscous drag …