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Alexander A. Vlasov

Publications and source records attributed to Alexander A. Vlasov.

At least 19 recordsLinked to original sources
arXiv2002

Radiation Reaction for a Charged Brownian Particle

As it is known a model of a charged particle with finite size is a good tool to consider the effects of self- action and backreaction, caused by electromagnetic radiation. In this work the "size" of a charged particle is induced by its stochastic Brownian vibration. Appropriate equation of particle's motion with radiation force is derived. It is shown that the solutions of this equation correctly describe the effects of radiation reaction.

physics.class-ph↗
arXiv2002

Delayed Equation for Charged Rigid Nonrelativistic Ball

Simple expression for self-force acting on radiating rigid charged ball is derived (Sommerfeld ball). It is shown that appropriate delayed equation of motion has solutions in general differ from that for Sommerfeld sphere - there are no "radiationless" solutions, but there are oscillating without damping solutions though self-force has nonzero value.

physics.class-ph↗
arXiv2001

Rutherford Scattering with Retardation

Numerical solutions for Sommerfeld model in nonrelativistic case are presented for the scattering of a spinless extended charged body in a static Coulomb field of a fixed point charge. It is shown that differential cross section for extended body preserves the form of the Rutherford result with multiplier, not equal to one (as in classical case), but depending on the size of Sommerfeld particle. Also the effect of capture by attractive center is found out for Sommerfeld particle. The origin of this effect lies in radiation damping.

physics.class-ph↗
arXiv2001

Delay Equation for Charged Brown Particle

In previous work (physics/0004026) was shown, with the help of numerical calculations, that the effective Brown temperature for charged particle is lower than that for particle without charge. Here we derive this result without numerical calculations, integrating the delay equation analytically, as for zero, so for nonzero viscosity.

physics.class-ph↗
arXiv2000

Sommerfeld Particle in Static Magnetic Field: Tunneling and Delayed Untwisting in Cyclotron

Motion of a charged particle with finite size, described by Sommerfeld model, in static magnetic field has two peculiar features: 1.) there is the effect of tunneling - Sommerfeld particle overcomes the barrier and finds itself in the forbidden, from classical point of view, area; 2.) the untwisting of trajectory in cyclotron for Sommerfeld particle is strongly delayed compared to that of a classical particle.

physics.class-ph↗
arXiv1999

One-Dimensional Motion of Sommerfeld Sphere in Potential Hole in Classical Electrodynamics: Inside the Hole

Equation of motion of Sommerfeld sphere in the one-dimensional potential hole, produced by two equal charges on some distance from each other, is numerically investigated. Two types of solutions are found: (i) damping oscillations, (ii) oscillations without damping (radiationless motion). Solutions with growing amplitude ("climbing-up-the-wall solution") for chosen initial conditions were not founded.

physics.class-ph↗
arXiv1999

Classical Tunneling of Sommerfeld Sphere in Classical Electrodynamics

One-dimensional motion of Sommerfeld sphere in the case of potential barrier is numerically investigated. The effect of classical tunneling is found out - Sommerfeld sphere overcomes the barrier and finds itself in the forbidden, from classical point of view, area.

physics.class-ph↗
arXiv1998

Radiation Reaction in Classical Electrodynamics: the Case of Rotating Charged Sphere

In classical electrodynamics for rotating with variable angular velocity charged rigid sphere are found: the exact values of electromagnetic fields, the flux of radiating energy and the exact integral equation of rotation including the terms of self-rotation. The analysis of this eq. shows that on one hand, there is no "runaway" solutions, peculiar to the Lorentz-Dirac eq. of radiating point particle, on the other hand, there appear new problems, among them is the nonexistence of solution for some external moments of force.

physics.class-ph↗
arXiv1997

Classical Electrodynamics: Problems of Radiation Reaction

There are known problems of Lorentz-Dirac equation for moving with acceleration charged particle in classical electrodynamics. The model of extended in one dimension particle is proposed and shown that electromagnetic self-interaction can lead (with appropriate choice of retarded and advanced interactions) to zero change in particle momentum. The hypothesis is formulated: all relativistic internal forces of various nature can give zero change in particle momentum

hep-th↗