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Open AccessArticle

Lorenz Type Behaviors in the Dynamics of Laser Produced Plasma

1
National Institute for Laser, Plasma and Radiation Physics, 409 Atomistilor Street, Magurele, 077125 Ilfov, Romania
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Institute of Physics of the Czech Academy of Sciences, Na Slovance 1991/2, 118 00 Prague, Czech Republic
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Faculty of Physics, “Alexandru Ioan Cuza” University of Iasi, 700506 Iasi, Romania
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Material Science and Engineering Department, “Gheorghe Asachi” Technical University of Iasi Romania, 700050 Iasi, Romania
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Department of Physics, “Gh. Asachi” Technical University of Iasi, 700050 Iasi, Romania
*
Authors to whom correspondence should be addressed.
Symmetry 2019, 11(9), 1135; https://doi.org/10.3390/sym11091135
Received: 23 July 2019 / Revised: 29 August 2019 / Accepted: 4 September 2019 / Published: 6 September 2019
(This article belongs to the Special Issue Advances in Laser Produced Plasmas Research)
An innovative theoretical model is developed on the backbone of a classical Lorenz system. A mathematical representation of a differential Lorenz system is transposed into a fractal space and reduced to an integral form. In such a conjecture, the Lorenz variables will operate simultaneously on two manifolds, generating two transformation groups, one corresponding to the space coordinates transformation and another one to the scale resolution transformation. Since these groups are isomorphs various types isometries become functional. The Lorenz system was further adapted to describe the dynamics of ejected particles as a result of laser matter interaction in a fractal paradigm. The simulations were focused on the dynamics of charged particles, and showcase the presence of current oscillations, a heterogenous velocity distribution and multi-structuring at different interaction scales. The theoretical predictions were compared with the experimental data acquired with noninvasive diagnostic techniques. The experimental data confirm the multi-structure scenario and the oscillatory behavior predicted by the mathematical model. View Full-Text
Keywords: Lorenz system; fractal analysis; laser produced plasmas; plasma structuring; ionic oscillations Lorenz system; fractal analysis; laser produced plasmas; plasma structuring; ionic oscillations
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MDPI and ACS Style

Irimiciuc, S.A.; Enescu, F.; Agop, A.; Agop, M. Lorenz Type Behaviors in the Dynamics of Laser Produced Plasma. Symmetry 2019, 11, 1135.

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