Contemporary Accelerator Physics

Tzenov, Stephan I.

doi:10.1142/5570

Cited by 17 publications

(34 citation statements)

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“…Following the standard perturbation approximation procedure 15 , we represent all dynamical variables as a series expansion in the formal small parameter ǫ. In order to eliminate resonant (secular) terms appearing in successive orders, we define different time scales as prescribed by the method of multiple scales 15 . To zero order, the perturbation equations (37) and (38) can be written as…”

Section: Perturbative Solution Of the Evolution Equationsmentioning

confidence: 99%

Nonlinear waves and coherent structures in the quantum single-wave model

Tzenov

Marinov

2011

Physics of Plasmas

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Starting from the von Neumann-Maxwell equations for the Wigner quasi-probability distribution and for the self-consistent electric field, the quantum analog of the classical single-wave model has been derived. The linear stability of the quantum single-wave model has been studied, and periodic in time patterns have been found both analytically and numerically. In addition, some features of quantum chaos have been detected in the unstable region in parameter space. Further, a class of standing-wave solutions of the quantum singlewave model has also been found, which have been observed to behave as stable solitary-wave structures. The analytical results have been finally compared to the exact system dynamics obtained by solving the corresponding equations in Schrodinger representation numerically.

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Section: Perturbative Solution Of the Evolution Equationsmentioning

confidence: 99%

Nonlinear waves and coherent structures in the quantum single-wave model

Tzenov

Marinov

2011

Physics of Plasmas

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“…Accelerator technology is a branch of research and technology which subject is acceleration of charged particles, research of the beams, interactions between beams and technical applications [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. It embraces theoretical aspects and technical associated with the beams, design and optimization of accelerators, building, exploitation, applications for research and technology; properties of accelerating particles individually and in beams; particle detectors; points of particle interactions; application of particle beams; electron and positron beams, muon (heave electron) and meson (two quarks) beams, proton and ion beams.…”

Section: Accelerator Technologymentioning

confidence: 99%

Development of free electron laser and accelerator technology in Poland (CARE and EuCARD projects)

Romaniuk

2009

SPIE Proceedings

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The development of accelerator technology in Poland is strictly combined with the cooperation with specialist accelerator centers of global character, where the relevant knowledge is generated, allowing to build big and modern machines. These are relatively costly undertakings of interdisciplinary character. Most of them are financed from the local resources. Only the biggest machines are financed commonly by many nations like: LHC in CERN, ILC in Fermi Lab, E-XFEL in DESY. A similar financing solution has to be implemented in Poland, where a scientific and political campaign is underway on behalf of building two big machines, a Polish Synchrotron in Kraków and a Polish FEL in Świerk. Around these two projects, there are realized a dozen or so smaller ones.

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“…where now A k is the renormalized complex amplitude [10]. Thus, the renormalized solution for the electromagnetic vector potential acquires the form…”

Section: The Renormalization Group Equationmentioning

confidence: 99%

Whistleron gas in magnetized plasmas

2005

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We have studied the nonlinear dynamics of whistler waves in magnetized plasmas. Since plasmas and beam-plasma systems considered here are assumed to be weakly collisional, the point of reference for the analysis performed in the present paper is the system of hydrodynamic and field equations. We have applied the renormalization group method to obtain dynamical equations for the slowly varying amplitudes of whistler waves. Further, it has been shown that the amplitudes of eigenmodes satisfy an infinite system of coupled nonlinear Schrödinger equations. In this sense, the whistler eigenmodes form a sort of a gas of interacting quasiparticles, while the slowly varying amplitudes can be considered as dynamical variables heralding the relevant information about the system. An important feature of our description is that whistler waves do not perturb the initial uniform density of plasma electrons. The plasma response to the induced whistler waves consists in velocity redistribution which follows exactly the behaviour of the whistlers. In addition, selection rules governing the nonlinear mode coupling have been derived, which represent another interesting peculiarity of our description.

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Contemporary Accelerator Physics

Cited by 17 publications

References 0 publications

Nonlinear waves and coherent structures in the quantum single-wave model

Nonlinear waves and coherent structures in the quantum single-wave model

Development of free electron laser and accelerator technology in Poland (CARE and EuCARD projects)

Whistleron gas in magnetized plasmas

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