Brownian motion of a charged particle driven internally by correlated noise

FNC Paraan, MP Solon, JP Esguerra - … E—Statistical, Nonlinear, and Soft Matter …, 2008 - APS
We give an exact solution to the generalized Langevin equation of motion of a charged
Brownian particle in a uniform magnetic field that is driven internally by an exponentially …

Brownian motion of a classical harmonic oscillator in a magnetic field

JI Jiménez-Aquino, RM Velasco, FJ Uribe - Physical Review E—Statistical …, 2008 - APS
In this paper, the stochastic diffusion process of a charged classical harmonic oscillator in a
constant magnetic field is exactly described through the analytical solution of the associated …

Brownian dynamics of charged particles in a constant magnetic field

LJ Hou, ZL Mišković, A Piel, PK Shukla - Physics of Plasmas, 2009 - pubs.aip.org
Numerical algorithms are proposed for simulating the Brownian dynamics of charged
particles in an external magnetic field, taking into account the Brownian motion of charged …

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 …

Study of non-Markovian dynamics of a charged particle in presence of a magnetic field in a simple way

A Baura, S Ray, M Kumar Sen… - Journal of Applied …, 2013 - pubs.aip.org
In this paper, we have investigated the dynamics of a Brownian particle in the presence of a
magnetic field. The present investigation is generalized considering different kinds of force …

Particles dispersed in a dilute gas. II. From the Langevin equation to a more general kinetic approach

L Ferrari - Chemical Physics, 2014 - Elsevier
In the attempt to solve the age-old problem of unifying Langevin, Fokker–Planck and
Boltzmann theories for test particles in a dilute gas, the Uhlenbeck and Ornstein's theory …

Brownian motion of charged particle in oblique electric and magnetic fields with frictional anisotropy

BM Butanas Jr, JPH Esguerra - Physica A: Statistical Mechanics and its …, 2022 - Elsevier
The Brownian motion of charged particles in oblique electric and magnetic fields with
frictional anisotropy is studied for the first time using the white noise functional approach. We …

Magnetic-field-induced breakdown of equivalence of multidimensional motion

A Baura, MK Sen, BC Bag - Physical Review E—Statistical, Nonlinear, and Soft …, 2010 - APS
In this paper, we have studied Brownian motion in multidimension phase space in presence
of a magnetic field. The nonequilibrium behavior of thermodynamically inspired quantities …

Fluctuation relations for a classical harmonic oscillator in an electromagnetic field

JI Jiménez-Aquino, RM Velasco, FJ Uribe - Physical Review E—Statistical …, 2009 - APS
In this work, we establish some fluctuation relations for a classical two-dimensional system
of independent charged harmonic oscillators in the presence of an electromagnetic field …

[HTML][HTML] Charged Brownian particles: Kramers and Smoluchowski equations and the hydrothermodynamical picture

RE Lagos, TP Simões - Physica A: Statistical Mechanics and its …, 2011 - Elsevier
We consider a charged Brownian gas under the influence of external and non-uniform
electric, magnetic and mechanical fields, immersed in a non-uniform bath temperature. With …