Electron streams formation and secondary two stream instability onset in the post-saturation regime of the classical Weibel instability

Innocenti, Maria Elena; Lazar, M.; Lapenta, Giovanni; Poedts, Stefaan

doi:10.1063/1.3587089

Cited by 13 publications

(17 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Such an instability is usually referred as the electrostatic two-stream instability as in Ref. 5, which begins with a symmetry-breaking instability of pair-wise merging of holes, …”

Section: B Detailed Phase Space Representation Afforded By the V-modelmentioning

confidence: 99%

On the multistream approach of relativistic Weibel instability. III. Comparison with full-kinetic Vlasov simulations

Ghizzo

2013

Physics of Plasmas

View full text Add to dashboard Cite

Équipe 107 : Physique des plasmas chaudsInternational audienceThe saturation of the Weibel instability in the relativistic regime is investigated within the Hamiltonian reduction technique based on the multistream approach developed in paper I in the linear case and in paper II for the nonlinear saturation. In this work, the study is compared with results obtained by full kinetic 1D2V Vlasov-Maxwell simulations based on a semi-Lagrangian technique. For a temperature anisotropy, qualitatively different regimes are realized depending on the excitation of the longitudinal (plasma) electric field, in contrast with the existing theories of the Weibel instability based on their purely transverse characters. The emphasis here is on gaining a better understanding of the nonlinear aspects of the Weibel instability. The multistream model offers an alternate way to make calculations or numerical experiments more tractable, when only a few moments of the velocity distribution of the plasma are considered

show abstract

“…Such an instability is usually referred as the electrostatic two-stream instability as in Ref. 5, which begins with a symmetry-breaking instability of pair-wise merging of holes, …”

Section: B Detailed Phase Space Representation Afforded By the V-modelmentioning

confidence: 99%

On the multistream approach of relativistic Weibel instability. III. Comparison with full-kinetic Vlasov simulations

Ghizzo

2013

Physics of Plasmas

View full text Add to dashboard Cite

show abstract

“…The numerical results of the nonlinear Vlasov simulation not only show that the saturation is governed by strong magnetic trapping, as expected, but evidence that the concept of 'stream' is important in WI. As already indicated in Lemons, Winske & Gary (1979), Innocenti et al (2011) and Inglebert et al (2012), these particle streams are connected to the property of invariance of the canonical momentum in the perpendicular direction and allow to provide a physical picture of WI.…”

Section: 33mentioning

confidence: 99%

“…The idea to highlight such magnetic trapping structures was already be considered by Innocenti et al (2011) using PIC simulations. In the semi-Lagrangian model, the code is accurate enough to exhibit locally such trapping structures without any smoothing technique.…”

Section: Simulations Based On the Multi-stream Modelmentioning

confidence: 99%

Vlasov models for kinetic Weibel-type instabilities

2017

View full text Add to dashboard Cite

The Weibel instability, driven by a temperature anisotropy, is investigated within different kinetic descriptions based on the semi-Lagrangian full kinetic and relativistic Vlasov-Maxwell model, on the multi-stream approach, which is based on a Hamiltonian reduction technique, and finally, with the full pressure tensor fluid-type description. Dispersion relations of the Weibel instability are derived using the three different models. A qualitatively different regime is observed in Vlasov numerical experiments depending on the excitation of a longitudinal plasma electric field driven initially by the combined action of the stream symmetry breaking and weak relativistic effects, in contrast with the existing theories of the Weibel instability based on their purely transverse characters. The multi-stream model offers an alternate way to simulate easily the coupling with the longitudinal electric field and particularly the nonlinear regime of saturation, making numerical experiments more tractable, when only a few moments of the distribution are considered. Thus a numerical comparison between the reduced Hamiltonian model (the multi-stream model) and full kinetic (relativistic) Vlasov simulations has been investigated in that regime. Although nonlinear simulations of the fluid model, including the dynamics of the pressure tensor, have not been carried out here, the model is strongly relevant even in the three-dimensional case.

show abstract

“…by the self-generated magnetic field, leads to the formation of local bumps and thus to the set up of a secondary bump on tail instability responsible for the growth of resonant electrostatic modes (ESs) on scales now smaller than the instability length scale. 4 More recently, using a Hamiltonian description of particle motion and 1D3V PIC simulation, Innocenti et al 7 in a similar regime have identified the role of such electrostatic activity as a result of "a two-stream" like instability, leading to the formation of phase space electron holes. These 1D3V PIC simulations show that the Hamiltonian description of particle motion in the 1D limit is a valuable tool to understand the plasma dynamics as described in terms of particle bunches, each bunch having the same perpendicular canonical momentum.…”

Section: Introductionmentioning

confidence: 99%

Electron temperature anisotropy instabilities represented by superposition of streams

et al. 2012

View full text Add to dashboard Cite

The generation of magnetic field, together with the electrostatic activity met in the saturation regime of the Weibel instability (WI), is investigated by means of an analytical multi-stream model in a Hamiltonian framework. Taking advantage from the invariance of the generalized canonical momentum, the model allows to reduce the full kinetic 1D2V Vlasov equation into several 1D1V equations while keeping its kinetic character. The multi-stream model provides a more complete and accurate picture of the Weibel instability, because it is possible to separate the specific contribution of each stream during the development of the Weibel instability. An interesting result for the multi-stream mode is a lower cost in the perpendicular treatment of the py momentum component since no differential operator associated with some approximate numerical scheme has to be carried out on this variable. Indeed, a small number of streams or particle classes are sufficient to correctly describe the magnetic field generation and the mixed electrostatic- electromagnetic nature of the instabilit

show abstract

Electron streams formation and secondary two stream instability onset in the post-saturation regime of the classical Weibel instability

Cited by 13 publications

References 24 publications

On the multistream approach of relativistic Weibel instability. III. Comparison with full-kinetic Vlasov simulations

On the multistream approach of relativistic Weibel instability. III. Comparison with full-kinetic Vlasov simulations

Vlasov models for kinetic Weibel-type instabilities

Electron temperature anisotropy instabilities represented by superposition of streams

Contact Info

Product

Resources

About