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

Ghizzo, A.

doi:10.1063/1.4817752

Cited by 11 publications

(13 citation statements)

References 20 publications

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“…24 taken into account a temperature anisotropy in generalized Maxwell-J€ uttner-type distribution. As mentioned previously, the part III companion paper 18 presents numerical comparison with full kinetic Vlasov-Maxwell simulations.…”

Section: Moments Of the Distribution Function In The Multistream mentioning

confidence: 99%

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On the multistream approach of relativistic Weibel instability. I. Linear analysis and specific illustrations

Ghizzo

Bertrand

2013

Physics of Plasmas

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Équipe 107 : Physique des plasmas chaudsInternational audienceA one-dimensional multistream formalism is extended for the study of temperature anisotropy driven Weibel-type instabilities in collisionless and relativistic plasma. The formulation is based on a Hamiltonian reduction technique using the invariance of generalized canonical momentum in transverse direction. The Vlasov-Maxwell model is expressed in terms of an ensemble of one-dimensional Vlasov-type equations, coupled together with the Maxwell equations in a self-consistent way. Although the model is fundamentally nonlinear, this first of three companion papers focuses on the linear aspect. Dispersion relations of the Weibel instability are derived in the linear regime for different kinds of polarization of the electromagnetic potential vector. The model allows new unexpected insights on the instability: enhanced growth rates for the Weibel instability are predicted when a dissymmetric distribution is considered in p(perpendicular to). In the case of a circular polarization, a simplification of the linear analysis can be obtained by the introduction of the ``multiring'' approach allowing to extend the analytical model of Yoon and Davidson [Phys. Rev. A 35, 2718 (1987)]. Applications of this model are left to the other two papers of the series where specific problems are addressed pertaining to the nonlinear and relativistic dynamics of magnetically trapped particles met in the saturation regime of the Weibel instability

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Section: Moments Of the Distribution Function In The Multistream mentioning

confidence: 99%

“…The third paper, part III in Ref. 18 is based on numerical comparisons between a numerical version of the multistream model with full kinetic Vlasov-Maxwell simulations in the relativistic regime of WI. The paper is organised as follows.…”

Section: Introductionmentioning

confidence: 99%

On the multistream approach of relativistic Weibel instability. I. Linear analysis and specific illustrations

Ghizzo

Bertrand

2013

Physics of Plasmas

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“…However for larger systems or if the dominant mode differs from k 0 , a reorganization of the plasma can be observed, even in presence of a weak electrostatic activity. Thus it has been observed by Ghizzo (2013b), that a self-reorganization of the plasma begins at saturation with a symmetry-breaking instability of pairwise merging of phase space vortices, where the plasma adjusts itself in wavenumber to give a stable state dominated now by trapping of mixed magnetic and electrostatic nature.…”

Section: Simulations Based On the Multi-stream Modelmentioning

confidence: 99%

Vlasov models for kinetic Weibel-type instabilities

2017

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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.

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“…However, some of the conclusions drawn within these cold models, such as the complete de-coupling between the CFI purely electromagnetic (e.m.) and electrostatic features [10] in some limits, have proven not to survive in a full kinetic treatment with non-null beam temperatures [11][12][13]. Kinetic features have been instead successfully described by means of kinetic reduced models based on specific classes of electron distribution functions, such as waterbags [14][15][16][17], multi-stream distributions [18], combinations of the two [19] or some of their special cases, such as "multi-ring" distributions [20][21][22]. While on the one hand such special classes of particle distributions 45001-p1 are useful both for the numerical initialisation of these instabilities, especially in the relativistic regime, and for their numerical simulation at a lower computational cost, on the other hand the exact analytical calculations they typically allow provide a valuable insight into the physics of Weibel-type modes.…”

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Fluid description of Weibel-type instabilities via full pressure tensor dynamics

Sarrat¹,

Sarto²,

Ghizzo³

2016

EPL

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We discuss a fluid model for the description of Weibel-type instabilties based on the inclusion of the full pressure tensor dynamics. The linear analysis first performed by Basu B., Phys. Plasmas, 9, (2002) 5131, for the strong anisotropy limit of Weibel's instability is extended to include the coupling between pure Weibel's and current filamentation instability, and the potential of this fluid approach is further developed. It is shown to allow an easier interpretation of some physical features of these coupled modes, notably the role played by thermal effects. It can be used to identify the role of different closure conditions in pressure-driven instabilities which can be numerically investigated at a remarkably lower computational cost than with kinetic simulations.

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

Cited by 11 publications

References 20 publications

On the multistream approach of relativistic Weibel instability. I. Linear analysis and specific illustrations

On the multistream approach of relativistic Weibel instability. I. Linear analysis and specific illustrations

Vlasov models for kinetic Weibel-type instabilities

Fluid description of Weibel-type instabilities via full pressure tensor dynamics

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