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Pathak, V. B., Grismayer, T., Stockem, A., Fonseca, R. A. & Silva, L. O. (2015). Spatial-temporal evolution of the current filamentation instability. New Journal of Physics. 17 (4)

V. B. Pathak et al.,  "Spatial-temporal evolution of the current filamentation instability", in New Journal of Physics, vol. 17, no. 4, 2015

@article{pathak2015_1714955387124,
	author = "Pathak, V. B. and Grismayer, T. and Stockem, A. and Fonseca, R. A. and Silva, L. O.",
	title = "Spatial-temporal evolution of the current filamentation instability",
	journal = "New Journal of Physics",
	year = "2015",
	volume = "17",
	number = "4",
	doi = "10.1088/1367-2630/17/4/043049",
	url = "http://iopscience.iop.org/1367-2630/17/4/043049/article/"
}

TY  - JOUR
TI  - Spatial-temporal evolution of the current filamentation instability
T2  - New Journal of Physics
VL  - 17
IS  - 4
AU  - Pathak, V. B.
AU  - Grismayer, T.
AU  - Stockem, A.
AU  - Fonseca, R. A.
AU  - Silva, L. O.
PY  - 2015
SN  - 1367-2630
DO  - 10.1088/1367-2630/17/4/043049
UR  - http://iopscience.iop.org/1367-2630/17/4/043049/article/
AB  - The spatial-temporal evolution of the purely transverse current filamentation instability is analyzed by deriving a single partial differential equation for the instability and obtaining the analytical solutions for the spatially and temporally growing current filament mode. When the beam front always encounters fresh plasma, our analysis shows that the instability grows spatially from the beam front to the back up to a certain critical beam length; then the instability acquires a purely temporal growth. This critical beam length increases linearly with time and in the non-relativistic regime it is proportional to the beam velocity. In the relativistic regime the critical length is inversely proportional to the cube of the beam Lorentz factor . Thus, in the ultra-relativistic regime the instability immediately acquires a purely temporal growth all over the beam. The analytical results are in good agreement with multidimensional particle-in-cell simulations performed with OSIRIS. Relevance of the current study to recent and future experiments on fireball beams is also addressed.
ER  -