• Corpus ID: 248496305

A fast point charge interacting with the screened Vlasov-Poisson system

@inproceedings{Hofer2022AFP,
  title={A fast point charge interacting with the screened Vlasov-Poisson system},
  author={Richard Hofer and Raphael Winter},
  year={2022}
}
We consider the long-time behavior of a fast, charged particle interacting with an initially spatially homogeneous background plasma. The background is modeled by the screened Vlasov-Poisson equations, whereas the interaction potential of the point charge is assumed to be smooth. We rigorously prove the validity of the stopping power theory in physics, which predicts a decrease of the velocity V ( t ) of the point charge given by ˙ V ∼ −| V | − 3 V , a formula that goes back to Bohr (1915). Our… 

References

SHOWING 1-10 OF 28 REFERENCES

Debye screening for the stationary Vlasov-Poisson equation in interaction with a point charge

Abstract We prove that the Debye screening length emerges in an infinitely extended plasma with uniform background described by the nonlinear Vlasov-Poisson equation, interacting with a point charge.

Electrostatic Instabilities of a Uniform Non‐Maxwellian Plasma

A stability criterion is obtained starting from Vlasov's collision‐free kinetic equations. Possible instabilities propagating parallel to an arbitrary unit vector e are related to a function

Lagrangian solutions to the Vlasov-Poisson system with a point charge

We consider the Cauchy problem for the repulsive Vlasov-Poisson system in the three dimensional space, where the initial datum is the sum of a diffuse density, assumed to be bounded and integrable,

Nonlinear stopping power of ions in plasmas

The study of the nonlinear stopping power of ions in plasmas is of fundamental importance for various applications. One example is the energy loss of heavy ions passing through a plasma. Due to the

Molecular dynamics simulations of classical stopping power.

This work performs large-scale molecular dynamics simulations of charged-particle stopping in a classical electron gas that span the weak to moderately strong intratarget coupling regimes and extends various stopping models to improve agreement with the MD data.

Stability of a Point Charge for the Vlasov–Poisson System: The Radial Case

We consider the Vlasov-Poisson system with initial data a small, radial, absolutely continuous perturbation of a point charge. We show that the solution is global and disperses to infinity via a

Well-posedness of the Lenard-Balescu equation with smooth interactions

The Lenard–Balescu equation was formally derived in the 1960s as the fundamental description of the collisional process in a spatially homogeneous system of interacting particles. It can be viewed as

On the Landau damping

Going beyond the linearized study has been a longstanding problem in the theory of Landau damping. In this paper we establish exponential Landau damping in analytic regularity. The damping phenomenon

Time Evolution of a Vlasov-Poisson Plasma with Infinite Charge in ℝ3

We study existence and uniqueness of the solution to the Vlasov-Poisson system describing a one-species plasma evolving in ℝ3, whose particles interact via the Coulomb potential. It is assumed that

Global weak solution of the Vlasov-Poisson system for small electrons mass

We are studying the existence and weak stability of a Vlasov–Poisson syste with two typs of particles , in which the electrons are supposed to be at thermal equilibrium. This modifies the source term