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Diffusion of Particles from Tokamak by Stochastization of Magnetic Field Lines
Cahyna, Pavel ; Krlín, Ladislav (advisor) ; Rohlena, Karel (referee) ; Suttrop, Wolfgang (referee)
The thesis summarizes the current state of research of thermonuclear fusion with magnetic confinement and decribes the possible role of stochastization of magnetic field lines and magnetic perturbations in solving some of the problems that are encountered on the road to the exploitation of fusion. It presents a theoretical introduction to deterministic chaos and explains the connection of this theory to magnetic perturbations in tokamak. The results are presented mainly in the form of publications in journals and conference proceedings. Among them are: the comparison of chaotic diffusion of particles and field lines, where significant differences were found; the application of chaotic diffusion of particles to the problem of runaway electrons originating in disruptions, where our simulations contributed to explaining the experimental results from the JET tokamak; the calculation of spectra of perturbations for the COMPASS tokamak, done as a preparation for the upcoming experiments; and modelling of screening of perturbations by plasma, where the observations of divertor footprints show as a promising method to detect the screening.
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Hamiltonian chaos and its application to anomalous dynamics in turbulent environment
Kurian, Matúš ; Krlín, Ladislav (advisor) ; Rohlena, Karel (referee) ; Stöckel, Jan (referee)
(Hamiltonian chaos and its application to anomalous dynamics in turbulent environment) RMP-induced ELM control has been tested on several tokamaks. It is believed that increase of electron transport across the magnetic field plays an important role. Edge plasma turbulence also affects dynamics in the edge region of tokamak. We study the simultaneous effect of plasma turbulence and RMP-induced stochastic magnetic field within the single-particle framework. We find out that the plasma turbulence is an important element of dynamics that should be taken into account in further (especially single-particle) studies.
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Anomalous diffusion of plasma in tokamak edge region
Seidl, Jakub ; Krlín, Ladislav (advisor) ; Hrach, Rudolf (referee) ; Rohlena, Karel (referee)
Title: Anomalous diffusion of plasma in tokamak edge region Author: Jakub Seidl Tutoring institution: Institute of Plasma Physics AS CR, v.v.i. Supervisor: Doc. Ing. Ladislav Krlín, DrSc., IPP AS CR Consultant: RNDr. Radomír Pánek, Ph.D., IPP AS CR Abstract: This work provides brief introduction to the topic of plasma turbu- lence in tokamak edge region and several aspects of anomalous plasma diffusion are discussed. We use numerical code ESEL to model interchange turbulence and investigate properties of turbulent structures in different regimes of parallel trans- port. Means of experimental verification of the results are discussed. Results of the modelling are then used to interpret unexpected results experimentally obtained by electrostatic ball-pen probes on tokamak ASDEX Upgrade, mainly appearance of a 'bump' in power spectra of measured plasma potential. Next, we explain be- haviour of cross-correlation function of density signals measured by two spatially separated Langmuir probes in the vicinity of magnetic separatrix and we point out an ambiguity in interpretation of results of vorticity measurement made by set of floating Langmuir probes. In the last part, transport of plasma impurities by electrostatic turbulent potential is modelled. We identify reversal of radial particle velocity for particles with...
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Hamiltonian chaos and its application to anomalous dynamics in turbulent environment
Kurian, Matúš ; Krlín, Ladislav (advisor) ; Rohlena, Karel (referee) ; Stöckel, Jan (referee)
(Hamiltonian chaos and its application to anomalous dynamics in turbulent environment) RMP-induced ELM control has been tested on several tokamaks. It is believed that increase of electron transport across the magnetic field plays an important role. Edge plasma turbulence also affects dynamics in the edge region of tokamak. We study the simultaneous effect of plasma turbulence and RMP-induced stochastic magnetic field within the single-particle framework. We find out that the plasma turbulence is an important element of dynamics that should be taken into account in further (especially single-particle) studies.
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Anomalous diffusion of plasma in tokamak edge region
Seidl, Jakub ; Krlín, Ladislav (advisor) ; Hrach, Rudolf (referee) ; Rohlena, Karel (referee)
Title: Anomalous diffusion of plasma in tokamak edge region Author: Jakub Seidl Tutoring institution: Institute of Plasma Physics AS CR, v.v.i. Supervisor: Doc. Ing. Ladislav Krlín, DrSc., IPP AS CR Consultant: RNDr. Radomír Pánek, Ph.D., IPP AS CR Abstract: This work provides brief introduction to the topic of plasma turbu- lence in tokamak edge region and several aspects of anomalous plasma diffusion are discussed. We use numerical code ESEL to model interchange turbulence and investigate properties of turbulent structures in different regimes of parallel trans- port. Means of experimental verification of the results are discussed. Results of the modelling are then used to interpret unexpected results experimentally obtained by electrostatic ball-pen probes on tokamak ASDEX Upgrade, mainly appearance of a 'bump' in power spectra of measured plasma potential. Next, we explain be- haviour of cross-correlation function of density signals measured by two spatially separated Langmuir probes in the vicinity of magnetic separatrix and we point out an ambiguity in interpretation of results of vorticity measurement made by set of floating Langmuir probes. In the last part, transport of plasma impurities by electrostatic turbulent potential is modelled. We identify reversal of radial particle velocity for particles with...
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Diffusion of Particles from Tokamak by Stochastization of Magnetic Field Lines
Cahyna, Pavel ; Krlín, Ladislav (advisor) ; Rohlena, Karel (referee) ; Suttrop, Wolfgang (referee)
The thesis summarizes the current state of research of thermonuclear fusion with magnetic confinement and decribes the possible role of stochastization of magnetic field lines and magnetic perturbations in solving some of the problems that are encountered on the road to the exploitation of fusion. It presents a theoretical introduction to deterministic chaos and explains the connection of this theory to magnetic perturbations in tokamak. The results are presented mainly in the form of publications in journals and conference proceedings. Among them are: the comparison of chaotic diffusion of particles and field lines, where significant differences were found; the application of chaotic diffusion of particles to the problem of runaway electrons originating in disruptions, where our simulations contributed to explaining the experimental results from the JET tokamak; the calculation of spectra of perturbations for the COMPASS tokamak, done as a preparation for the upcoming experiments; and modelling of screening of perturbations by plasma, where the observations of divertor footprints show as a promising method to detect the screening.
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Anomalous Ion Diffusion in Models of Turbulent Edge Tokamak Plasma
Papřok, Richard ; Krlín, Ladislav (advisor) ; Svoboda, Vojtěch (referee) ; Langer, Jiří (referee)
Enhanced particle and energy transport from edge plasma is observed and may cause a problem for a future operation of a thermonuclear reactor. Plasma edge turbulence presents a complex problem which is not fully theoretically understood. We chose a simple, mathematically simply described potential, which represents first approximation of the realistic one. Resulting dynamics led, for certain class of parameters, to a phenomenon known as Lévy walks, which is the cause of an anomalous enhanced diffusion. It is shown that for typical tokamak's parameters it is in this class and therefore it can be a cause of an anomalous transport in plasma.
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Anomalous Diffusion of Electrons in Tokamak by Their Interaction With Lower Hybrid Wave
Seidl, Jakub ; Krlín, Ladislav (advisor) ; Rohlena, Karel (referee)
Interaction of electrons with a lower-hybrid wave (LHW) is usually described using a quasilinear theory. It was shown formerly that in some cases the quasilinear approach is not proper. This work deals with an eect of spatial geometry of LHW spectra on a particle velocity diusion. Diusion coecient for various cases was computed and put to use to predict a long term evolution of an electron velocity distribution function. The computation was (on the contrary of previous papers) based on fully relativistic equations of motion. The results conrm that region of high electron acceleration is broadest just after the wave enters plasma and becomes narrower along its progress deeper into it. In the range of wave intensities over 105 V/m we found that the diusion becomes Lévy-walk. In the second part predictions of electron acceleration in front of LH grill of two dierent approaches were compared. We showed that the approach based on usage of Fourier expansion of potential gives only a rough estimate of the acceleration.
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