We derive effective equations of motion for a massless charged particle coupled to the dynamical electromagnetic field having regard to the radiation back reaction. It is shown that unlike the massive case not all the divergences resulting from the self-action of the particle are Lagrangian, i.e. can be canceled out by adding appropriate counterterms to the original action. Besides, the order o...

We investigate the conjecture on upper bound of Lyapunov exponent for chaotic motion a charged particle around Kerr-Newman black hole. The is closely associated with maximum effective potential respect to particle. show that when angular momenta hole and are considered, can exceed conjectured bound. This because change increase magnitude behavior Furthermore, location also related value extrema...

It is pointed out that the conventional Lie transform perturbation theory for guiding center motion of charged particles in a magnetic field needs to be modified ordering inconsistency. There are two reasons. First, difference between temporal variation gyrophase and other phase space coordinates taken into account. Second, it also important note parametric limit derivative function not equival...

The adiabatic motion of a charged, spinning, quantum particle in a two dimensional magnetic field is studied. A suitable set of operators generalizing the cinematical momenta and the guiding center operators of a particle moving in a homogeneous magnetic field is constructed. This allows us to separate the two degrees of freedom of the system into a fast and a slow one, in the classical limit, ...

A number of random processes in various fields of science is described by phenomenological equations of motion containing stochastic forces, the best known example being the Langevin equation (LE) for the Brownian motion (BM) of particles. Long ago Vladimirsky (1942) in a little known paper proposed a simple method for solving such equations. The method, based on the classical Gibbs statistics,...

In nonpolar solvents, surfactants stabilize charge through the formation of reverse micelles; this enables the dissociation of charge from the surfaces of particles, thereby charge-stabilizing particle suspensions. We investigate the dynamics of such charged particles by directly visualizing their motion across a microfluidic channel in response to an external electric field. The presence of th...

Particle "dust" in processing plasmas is of critical concern to the semiconductor industry because of the threat particles pose to device yield. A number of important investigations into the formation, growth, charging, transport and consequences of particulate dust in plasmas have been made using the Gaseous Electronics Conference Reference Cell as the reactor test-bed. The greatest amount of ...

Can the average drift of an ensemble of charged particles in Earth's plasma sheet still be described by adiabatic theory even if many particles in the ensemble execute non adiabatic motion? This is part of a broader spectrum of questions which asks if chaotic microscopic processes can be parameterized as macroscopic ones when ensemble averaged. Through a comparison of numerical test particle si...