Relevant bibliographies by topics / Plasma turbulence; Nonlinear theories

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  2. Dissertations / Theses
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Academic literature on the topic 'Plasma turbulence; Nonlinear theories'

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Published: 6 September 2023

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Journal articles on the topic "Plasma turbulence; Nonlinear theories"

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Bandyopadhyay, Riddhi, Ramiz A. Qudsi, S. Peter Gary, William H. Matthaeus, Tulasi N. Parashar, Bennett A. Maruca, Vadim Roytershteyn, et al. "Interplay of turbulence and proton-microinstability growth in space plasmas." Physics of Plasmas 29, no. 10 (October 2022): 102107. http://dx.doi.org/10.1063/5.0098625.

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Numerous prior studies have shown that as proton beta increases, a narrower range of proton temperature anisotropy values is observed. This effect has often been ascribed to the actions of kinetic microinstabilities because the distribution of observational data aligns with contours of constant instability growth rates in the beta-anisotropy plane. However, the linear Vlasov theory of instabilities assumes a uniform background in which perturbations grow. The established success of linear-microinstability theories suggests that the conditions in regions of extreme temperature anisotropy may remain uniform for a long enough time so that the instabilities have the chance to grow to sufficient amplitude. Turbulence, on the other hand, is intrinsically nonuniform and nonlinear. Thin current sheets and other coherent structures generated in a turbulent plasma may quickly destroy the uniformity. It is, therefore, not a-priori obvious whether the presence of intermittency and coherent structures favors or disfavors instabilities. To address this question, we examined the statistical distribution of growth rates associated with proton temperature-anisotropy driven microinstabilities and local nonlinear time scales in turbulent plasmas. Linear growth rates are, on average, substantially less than the local nonlinear rates. However, at the regions of extreme values of temperature anisotropy, near the “edges” of the populated part of the proton temperature anisotropy-parallel beta plane, the instability growth rates are comparable or faster than the turbulence time scales. These results provide a possible answer to the question as to why the linear theory appears to work in limiting plasma excursions in anisotropy and plasma beta.
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Schertzer, D., and E. Falgarone. "MFGA-IDT2 workshop: Astrophysical and geophysical fluid mechanics: the impact of data on turbulence theories." Nonlinear Processes in Geophysics 3, no. 4 (December 31, 1996): 229–30. http://dx.doi.org/10.5194/npg-3-229-1996.

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Abstract. 1 Facts about the Workshop This workshop was convened on November 13-15 1995 by E. Falgarone and D. Schertzer within the framework of the Groupe de Recherche Mecanique des Fluides Geophysiques et Astrophysiques (GdR MFGA, Research Group of Geophysical and Astrophysical Fluid Mechanics) of Centre National de la Recherche Scientifique (CNRS, (French) National Center for Scientific Research). This Research Group is chaired by A. Babiano and the meeting was held at Ecole Normale Superieure, Paris, by courtesy of its Director E. Guyon. More than sixty attendees participated to this workshop, they came from a large number of institutions and countries from Europe, Canada and USA. There were twenty-five oral presentations as well as a dozen posters. A copy of the corresponding book of abstracts can be requested to the conveners. The theme of this meeting is somewhat related to the series of Nonlinear Variability in Geophysics conferences (NVAG1, Montreal, Aug. 1986; NVAG2, Paris, June 1988; NVAG3, Cargese (Corsica), September, 1993), as well as seven consecutive annual sessions at EGS general assemblies and two consecutive spring AGU meeting sessions devoted to similar topics. One may note that NVAG3 was a joint American Geophysical Union Chapman and European Geophysical Society Richardson Memorial conference, the first topical conference jointly sponsored by the two organizations. The corresponding proceedings were published in a special NPG issue (Nonlinear Processes in Geophysics 1, 2/3, 1994). In comparison with these previous meetings, MFGA-IDT2 is at the same time specialized to fluid turbulence and its intermittency, and an extension to the fields of astrophysics. Let us add that Nonlinear Processes in Geophysics was readily chosen as the appropriate journal for publication of these proceedings since this journal was founded in order to develop interdisciplinary fundamental research and corresponding innovative nonlinear methodologies in Geophysics. It had an appropriate editorial structure, in particular a large number of editors covering a wide range of methodologies, expertises and schools. At least two of its sections (Scaling and Multifractals, Turbulence and Diffusion) were directly related to the topics of the workshop, in any case contributors were invited to choose their editor freely. 2 Goals of the Workshop The objective of this meeting was to enhance the confrontation between turbulence theories and empirical data from geophysics and astrophysics fluids with very high Reynolds numbers. The importance of these data seems to have often been underestimated for the evaluation of theories of fully developed turbulence, presumably due to the fact that turbulence does not appear as pure as in laboratory experiments. However, they have the great advantage of giving access not only to very high Reynolds numbers (e.g. 1012 for atmospheric data), but also to very large data sets. It was intended to: (i) provide an overview of the diversity of potentially available data, as well as the necessary theoretical and statistical developments for a better use of these data (e.g. treatment of anisotropy, role of processes which induce other nonlinearities such as thermal instability, effect of magnetic field and compressibility ... ), (ii) evaluate the means of discriminating between different theories (e.g. multifractal intermittency models) or to better appreciate the relevance of different notions (e.g. Self-Organized Criticality) or phenomenology (e.g. filaments, structures), (iii) emphasise the different obstacles, such as the ubiquity of catastrophic events, which could be overcome in the various concerned disciplines, thanks to theoretical advances achieved. 3 Outlines of the Workshop During the two days of the workshop, the series of presentations covered many manifestations of turbulence in geophysics, including: oceans, troposphere, stratosphere, very high atmosphere, solar wind, giant planets, interstellar clouds... up to the very large scale of the Universe. The presentations and the round table at the end of the workshop pointed out the following: - the necessity of this type of confrontation which makes intervene numerical simulations, laboratory experiments, phenomenology as well as a very large diversity of geophysical and astrophysical data, - presumably a relative need for new geophysical data, whereas there have been recent astrophysical experiments which yield interesting data and exciting questions; - the need to develop a closer intercomparison between various intermittency models (in particular Log-Poisson /Log Levy models). Two main questions were underlined, in particular during the round table: - the behaviour of the extremes of intermittency, in particular the question of divergence or convergence of the highest statistical moments (equivalently, do the probability distributions have algebraic or more rapid falloffs?); - the extension of scaling ranges; in other words do we need to divide geophysics and astrophysics in many small (nearly) isotropic subranges or is it sufficient to use anisotropic scaling notions over wider ranges? 4 The contributions in this special issue Recalling that some of the most useful insights into the nature of turbulence in fluids have come from observations of geophysical flows, Van Atta gives a review of the impacts of geophysical turbulence data into theories. His paper starts from Taylor's inference of the nearly isotropy of atmospheric turbulence and the corresponding elegant theoretical developments by von Karman of the theory of isotropic turbulence, up to underline the fact that the observed extremely large intermittency in geophysical turbulence also raised new fundamental questions for turbulence theory. The paper discusses the potential contribution to theoretical development from the available or currently being made geophysical turbulence measurements, as well as from some recent laboratory measurements and direct numerical simulations of stably stratified turbulent shear flows. Seuront et al. consider scaling and multiscaling properties of scalar fields (temperature and phytoplankton concentration) advected by oceanic turbulence in both Eulerian and Lagrangian frameworks. Despite the apparent complexity linked to a multifractal background, temperature and fluorescence (i.e. phytoplankton biomass surrogate) fields are expressed over a wide range of scale by only three universal multifractal parameters, H, \\alpha and C_l. On scales smaller than the characteristic scale of the ship, sampling is rather Eulerian. On larger scales, the drifting platform being advected by turbulent motions, sampling may be rather considered as Lagrangian. Observed Eulerian and Lagrangian universal multifractal properties of the physical and biological fields are discussed. Whereas theoretical models provide different scaling laws for fluid and MHD turbulent flows, no attempt has been done up to now to experimentally support evidence for these differences. Carbone et al. use measurements from the solar wind turbulence and from turbulence in ordinary fluid flows, in order to assess these differences. They show that the so-called Extended Self-Similarity (ESS) is evident in the solar wind turbulence up to a certain scale. Furthermore, up to a given order of the velocity structure functions, the scaling laws of MHD and fluids flows axe experimentally indistinguishable. However, differences can be observed for higher orders and the authors speculate on their origin. Dudok de Wit and Krasnosel'skikh present analysis of strong plasma turbulence in the vicinity of the Earth's bow shock with the help of magnetometer data from the AMPTE UKS satellite. They demonstrate that there is a departure from Gaussianity which could be a signature of multifractality. However, they point out that the complexity of plasma turbulence precludes a more quantitative understanding. Finally, the authors emphasise the fact that the duration of records prevents to obtain any reliable estimate of structure functions beyond the fourth order. Sylos Labini and Pietronero discuss the problem of galaxy correlations. They conclude from all the recently available three dimensional catalogues that the distribution of galaxies and clusters is fractal with dimension D ~ 2 up to the present observational limits without any tendency towards homogenization. This result is discussed in contrast to angular data analysis. Furthermore, they point out that the galaxy-cluster mismatch disappears when considering a multifractal distribution of matter. They emphasise that a new picture emerges which changes the standard ideas about the properties of the universe and requires a corresponding change in the related theoretical concepts. Chilla et al. investigate with the help of a laboratory experiment the possible influence of the presence of a large scale structure on the intermittency of small scale structures. They study a flow between coaxial co-rotating disks generating a strong axial vortex over a turbulent background. They show that the cascade process is preserved although strongly modified and they discuss the relevance of parameters developed for the description of intermittency in homogeneous turbulence to evaluate this modification.
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Itoh, Sanae-I., and Kimitaka Itoh. "Kinetic Description of Nonlinear Plasma Turbulence." Journal of the Physical Society of Japan 78, no. 12 (December 15, 2009): 124502. http://dx.doi.org/10.1143/jpsj.78.124502.

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van Milligen, B. Ph, C. Hidalgo, and E. Sánchez. "Nonlinear Phenomena and Intermittency in Plasma Turbulence." Physical Review Letters 74, no. 3 (January 16, 1995): 395–98. http://dx.doi.org/10.1103/physrevlett.74.395.

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LEVICH, E. "NEW DEVELOPMENTS AND CLASSICAL THEORIES OF TURBULENCE." International Journal of Modern Physics B 10, no. 18n19 (August 30, 1996): 2325–92. http://dx.doi.org/10.1142/s0217979296001057.

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In this paper we review certain classical and modern concepts pertinent for the theory of developed turbulent flows. We begin by introducing basic facts concerning the properties of the Navier-Stokes equation with the emphasis on invariant properties of the vorticity field. Then we discuss classical semiempirical approaches to developed turbulence which for a long time have constituted a basis for engineering solutions of turbulent flows problems. We do it for two examples, homogeneous isotropic turbulence and flat channel turbulent flow. Next we discuss the insufficiency of classical semi-empirical approaches. We show that intermittency is an intrinsic feature of all turbulent flows and hence it should be accounted for in any reasonable theoretical approach to turbulence. We argue that intermittency in physical space is in one to one correspondence with certain phase coherence of turbulence in an appropriate dual space, e.g. Fourier space for the case of homogeneous isotropic turbulence. In the same time the phase coherence has its origin in invariant topological properties of vortex lines in inviscid flows, modified by the presence of small molecular viscosity. This viewpoint is expounded again using the examples of homogeneous isotropic turbulence and channel flow turbulence. Finally we briefly discuss the significance of phase coherence and intermittency in turbulence for the fundamental engineering challenge of turbulence control.
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Belli, E. A., G. W. Hammett, and W. Dorland. "Effects of plasma shaping on nonlinear gyrokinetic turbulence." Physics of Plasmas 15, no. 9 (September 2008): 092303. http://dx.doi.org/10.1063/1.2972160.

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Hidalgo, C., R. Balbín, B. Brañas, T. Estrada, I. García-Cortés, M. A. Pedrosa, E. Sánchez, and B. van Milligen. "Nonlinear phenomena and plasma turbulence in fusion plasmas." Physica Scripta 51, no. 5 (May 1, 1995): 624–26. http://dx.doi.org/10.1088/0031-8949/51/5/013.

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YAGI, Masatoshi, Sanae-I. ITOH, Kimitaka ITOH, Masafumi AZUMI, Patrick H. DIAMOND, Atsushi FUKUYAMA, and Takayuki HAYASHI. "Nonlinear Drive of Tearing Mode by Microscopic Plasma Turbulence." Plasma and Fusion Research 2 (2007): 025. http://dx.doi.org/10.1585/pfr.2.025.

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Li-Fang, Dong, Fan Wei-Li, Wang Hui-Juan, Zhang Qing-Li, and Wang Long. "Nonlinear Interaction and Coherent Structure in Tokamak Plasma Turbulence." Chinese Physics Letters 23, no. 11 (October 26, 2006): 3007–9. http://dx.doi.org/10.1088/0256-307x/23/11/034.

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Qian, S., Y. C. Lee, and H. H. Chen. "A study of nonlinear dynamical models of plasma turbulence." Physics of Fluids B: Plasma Physics 1, no. 1 (January 1989): 87–98. http://dx.doi.org/10.1063/1.859109.

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Dissertations / Theses on the topic "Plasma turbulence; Nonlinear theories"

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Das, Basant Kumar. "Nonlinear effects in plasmas and turbulence." Thesis, IIT Delhi, 2016. http://localhost:8080/xmlui/handle/12345678/7004.

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Petviachvili, Nikolai. "Coherent structures in nonlinear plasma dynamics /." Digital version accessible at:, 1999. http://wwwlib.umi.com/cr/utexas/main.

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Bates, Ian. "Identification of nonlinear processes in space plasma turbulence." Thesis, University of Sheffield, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.274942.

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Bates, Ian. "Identification of nonlinear processes in space plasma turbulence." Thesis, University of Sheffield, 2003. http://etheses.whiterose.ac.uk/15136/.

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Frequency domain analysis tools have been developed to analyse simultaneous multi-point measurements of developed space plasma turbulence. The Coherence Length technique enables the scale length for plasma wave structures to be measured from magnetic field measurements. The coherence length defines a length scale for the measurement of wave phenomena. Single satellite measurements can be used, the technique becoming more reliable with higher numbers of satellites. The technique is used to identify coherence lengths for waves observed in the magnetic field near the bow shock by the dual AMPTE-UKSIAMPTE-IRM satellites, and for mirror wave structures observed in the magnetic field in the magnetosheath by the dual ISEE-lIISEE-2 satellites. The Transfer Function Estimation technique enables the transfer of energy between plasma waves to be measured, from simultaneous dual-point measurements, resulting in linear growth / damping rates and second-order wave coupling. The technique is improved by replacing the Least Squares method for inversion with Regularisation. The technique is applied to simultaneous magnetic field measurements near the bow shock by the AMPTE-UKSIAMPTE-IRM satellites, where a linear instability in the wave field is identified, which is attributed to an ion anisotropy instability, and accompanying sequence of second-order three-wave coupling processes is also identified, which dissipates the energy from the linear instability. The Wave vector Determination technique enables the identification of wave vectors from simultaneous four-point measurements. The availability of four-point measurements means that the reliance on Minimum Variance Analysis, and that of only being able to use magnetic field measurements, is removed, the wave vector can be determined unambiguously directly from the magnetic field measurements. The technique can identify between waves of different frequency, and waves at the same frequency but propagating in different directions. The technique is applied to simultaneous observations of the electric field by the four-point ii Cluster II satellites, enabling the determination of the wave vector and the identification of a mirror mode structure, solely from the electric field measurements. Chapter 1 introduces the solar-terrestrial environment, briefly describing exploration of this environment by man-made satellites and listing some aims of the analysis of data collected by the satellites. Chapter 2 elaborates on what is meant by data analysis; Spectral Transforms are introduced and described, with a comparison made between Fourier Transforms and Wavelet Transforms, before a review is made of current data analysis techniques for satellite data. Chapter 3 defines and focuses attention on the objectives of this thesis, which are addressed in the following three chapters. Chapter 4 investigates the coherence length of plasma waves through use of the Wavelet Transform and the Fourier Shift Theorem. Chapter 5 makes estimates of wave Transfer Functions, replacing an established Least Squares inversion technique with a Regularisation inversion. Chapter 6 uses a method to determine wave propagation directions, from multi-satellite data, that has not been applied before due to the lack of availability of suitable data sets. Chapter 7 summarises the preceding chapters. The Appendices contain reprints of papers resulting from, and relating to, this research.
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Osman, Frederick. "Nonlinear paraxial equation at laser plasma interaction /." [Campbelltown, N.S.W. : The author], 1998. http://library.uws.edu.au/adt-NUWS/public/adt-NUWS20030707.114012/index.html.

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Xu, Shaokang. "Study of reduced kinetic models for plasma turbulence." Thesis, Université Paris-Saclay (ComUE), 2018. http://www.theses.fr/2018SACLX057/document.

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Le contrôle du transport turbulent est l'une des clés pour l'amélioration du temps de confinement nécessaire à la réalisation de la fusion thermonucléaire contrôlée. La description de la turbulence cinétique du plasma est un problème à 3 coordonnées spatiales et 3 coordonnées en vitesse. La théorie comme la simulation pour un problème de si haute dimensionnalité sont très difficiles, et des modèles réduits sont nécessaires pour comprendre la turbulence dans les Tokamaks. La technique largement utilisée est de faire moyenner le mouvement cyclotron, qui est beaucoup plus rapide que le phénomène de turbulence. Une telle réduction permet de simplifier le problème à trois coordonnées spatiales des centres-guides des particules, une vitesse parallèle ou énergie et une vitesse perpendiculaire apparaissant comme l'invariant adiabatique. La description gyrocinétique non linéaire requiert des simulations numériques de haute performance massivement parallèles. Toute la difficulté est due aux termes non linéaires (crochets de Poisson) qui décrivent les interactions multi-échelles, ce qui constitue un défi tant pour la théorie que pour la simulation. Toute approche réduite, basée sur des hypothèses bien contrôlées, est donc intéressante à développer.Sur la base de cette ambition, cette thèse concerne la turbulence des particules piégées dans le plasma magnétisé. C'est un système 4D, obtenu après avoir fait la moyenne de la fonction de distribution des particules sur les mouvements cyclotron et de rebond, ce qui peut être considéré comme une forme réduite de la théorie gyrocinétique standard. Nous l'avons appelé "bounce averaged gyrokinetics" pendant ce travail. Même si cette description est grandement réduite par rapport à la théorie gyrocinétique, la simulation directe non-linéaire reste un challenge.Une description des termes non linéaires en coordonnées polaires est choisie, avec une grille logarithmique en norme du vecteur d'onde, tandis que les angles sont discrétisés sur une grille régulière. L'utilisation d'une grille logarithmique permet de prendre en compte une large gamme de vecteurs d'ondes, donc la physique à très petite échelle. De manière analogue aux modèles en couches en turbulence fluide et afin de simplifier le système, seules les interactions entre couches voisines sont considérées.Dans un premier temps, l'étude du système linéaire est présentée, en particulier les seuils des paramètres et l'instabilité linéaire permettant de retrouver la forte anisotropie des taux de croissance des modes d'ions piégés (ou TIM) et des modes d'électrons piégés (ou TEM). Ces études permettent également de valider les codes numériques non-linéaires vis-à-vis d'un solveur aux valeurs propres développé indépendamment.Dans un second temps, l'hypothèse isotrope pour les termes non linéaires est utilisée. Ainsi il n'y a pas d'information de phase exacte pour de tels modèles en couches 1D, ce qui laisse un paramètre libre dans les coefficients d'interaction. Une loi de puissance originale est mise en évidence, qui n'est pas affectée par la valeur du paramètre libre, mesurant l'intensité des effets non-linéaires relativement aux termes linéaires.À partir de la simulation du modèle isotrope, l'information de phase apparaît très importante. Puisque l'instabilité linéaire est anisotrope pour la fusion, la simulation du modèle anisotrope est donc réalisée dans un troisième temps. Le système résolu numériquement est réduit à une espèce cinétique, en supposant que les autres espèces sont adiabatiques. Deux systèmes différents peuvent ainsi être étudiés: ions cinétiques + électrons adiabatiques et électrons cinétiques + ions adiabatiques. Des spectres différents sont observés dans chacun de ces deux cas, et la validité de l'hypothèse adiabatique est discutée pour chaque espèce, avec pour base de comparaison une simulation cinétique à deux espèces
Turbulent transport is one of the keys to improve the energy confinement time required for thermonuclear fusion reactors. The description of the kinetic turbulence of the plasma is a problem with 3 spatial coordinates and 3 velocity coordinates. Both theory and simulation of a problem of such high dimensionality are very difficult, and reduced models are helpfull to understand turbulence in Tokamaks. A widely used technique consists into averaging the cyclotron motion, which is much faster than the turbulence time scale. Such a reduction makes it possible to simplify the problem to three spatial coordinates of the particle guide centers, a parallel velocity or energy, and a perpendicular velocity appearing as the adiabatic invariant. Nonlinear gyrokinetic description requires massively parallel high performance numerical simulations. The difficulty lies in the non-linear terms (Poisson hooks) that describe multi-scale interactions, which is a challenge for both theory and simulation. Any reduced approach, based on well-controlled hypotheses, is therefore interesting to develop.On the basis of this ambition, this thesis concerns the turbulence of particles trapped in magnetized plasma. It is a 4D system, obtained after averaging the particle distribution function on cyclotron and bounce motions, which can be considered as a reduced form of standard gyrokinetic theory. We called it "bounce averaged gyrokinetics" during this work. Even if this description is greatly reduced compared to the gyrokinetic theory, nonlinear direct simulation remains a challenge.A description of the nonlinear polar coordinate terms is chosen, with a logarithmic grid along the norm of the wave vector, while the angles are discretized on a regular grid. The use of a logarithmic grid makes it possible to take into account a wide range of wave vectors, so physics on a very small scale. In a similar way to shell models for fluid turbulence, and in order to simplify the system, only the interactions between neighboring shells are considered.In a first step, the study of the linear system is presented, in particular the paraetric dependence of the instability thresholds and the linear growth rate, allowing to recover the strong anisotropy of the growth rates of the trapped ion modes (or TIM) and the modes of trapped electrons (or TEM). These studies also make it possible to validate the non-linear numerical codes with respect to an independently developer eigenvalue solver.In a second step, the isotropic hypothesis for nonlinear terms is used. Thus, there is no exact phase information for such 1D layer models, which leaves with a free parameter in the interaction coefficients. An original power law is evidenced, which is unaffected by the value of the free parameter, measuring the intensity of the nonlinear effects relative to the linear terms.From the simulation of the isotropic model, the phase information appears very important. Since the linear instability is anisotropic for the fusion, the simulation of the anisotropic model is thus carried out in a third time. The numerically resolved system is reduced to a kinetic species, assuming that the other species are adiabatic. Two different systems can thus be studied: kinetic ions + adiabatic electrons and kinetic electrons + adiabatic ions. Different spectra are observed in each of these two cases, and the validity of the adiabatic hypothesis is discussed for each species, based on a kinetic simulation with two species
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Osman, Frederick. "Nonlinear paraxial equation at laser plasma interaction." Thesis, [Campbelltown, N.S.W. : The author], 1998. http://handle.uws.edu.au:8081/1959.7/280.

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This thesis presents an investigation into the behaviour of a laser beam of finite diameter in a plasma with respect to forces and optical properties, which lead to self-focusing of the beam. The transient setting of ponderomotive nonlinearity in a collisionless plasma has been studied, and consequently the self- focusing of the pulse, and the focusing of the plasma wave occurs. The description of a self-focusing mechanism of laser radiation in the plasma due to nonlinear forces acting on the plasma in the lateral direction, relative to the laser has been investigated in the non-relativistic regime. The behaviour of the laser beams in plasma, which is the domain of self-focusing at high or moderate intensity, is dominated by the nonlinear force. The investigation of self-focusing processes of laser beams in plasma result from the relativistic mass and energy dependency of the refractive index at high laser intensities. Here the relativistic effects are considered to evaluate the relativistic self-focusing lenghts for the neodymium glass radiation, at different plasma densities of various laser intensities. A sequence of code in C++ has been developed to explore in depth self-focusing over a wide range of parameters. The nonlinear plasma dielectric function to relativistic electron motion will be derived in the latter part of this thesis. From that, one can obtain the nonlinear refractive index of the plasma and estimate the importance of relativistic self-focusing as compared to ponderomotive non-relativistic self-focusing, at very high laser intensities. When the laser intensity is very high, pondermotive self-focusing will be dominant. But at some point, when the oscillating velocity of the plasma electron becomes very large, relativistic effects will also play a role in self-focusing. A numerical and theoretical study of the generation and propagation of oscillation in the semiclassical limit of the nonlinear paraxial equation is presented in this thesis. In a general setting of both dimension and nonlinearity, the essential differences between the 'defocusing' and 'focusing' cases hence is identified. Presented in this thesis are the nonlinearity and dispersion effects involved in the propagation of solitions which can be understood by using a numerical routines were implemented through the use of the mathematica program, and results give a very clear idea of this interesting phenomena
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Chang, Ouliang. "Numerical Simulation of Ion-Cyclotron Turbulence Generated by Artificial Plasma Cloud Release." Thesis, Virginia Tech, 2009. http://hdl.handle.net/10919/34018.

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Possibilities of generating plasma turbulence to provide control of space weather processes have been of particular interest in recent years. Such turbulence can be created by chemical released into a magnetized background plasma. The released plasma clouds are heavy ions which have ring velocity distribution and large free energy to drive the turbulence. An electromagnetic hybrid (fluid electrons and particle ions) model incorporating electron inertia is developed to study the generation and nonlinear evolution of this turbulence. Fourier pseudo-spectral methods are combined with finite difference methods to solve the electron momentum equations. Time integration is accomplished by a 4th-order Runge-Kutta scheme or predicator-corrector method. The numerical results show good agreement with theoretical prediction as well as provide further insights on the nonlinear turbulence evolution. Initially the turbulence lies near harmonics of the ring plasma ion cyclotron frequency and propagates nearly perpendicular to the background magnetic field as predicted by the linear theory. If the amplitude of the turbulence is sufficiently large, the quasi-electrostatic short wavelength ion cyclotron waves evolve nonlinearly into electromagnetic obliquely propagating shear Alfven waves with much longer wavelength. The results indicate that ring densities above a few percent of the background plasma density may produce wave amplitudes large enough for such an evolution to occur. The extraction of energy from the ring plasma may be in the range of 10-15% with a generally slight decrease in the magnitude as the ring density is increased from a few percent to several 10's of percent of the background plasma density. Possibilities to model the effects of nonlinear processes on energy extraction by introducing electron anomalous resistivity are also addressed. Suitability of the nonlinearly generated shear Alfven waves for applications to scattering radiation belt particles is discussed.
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Holland, Christopher G. "Investigations of the role of nonlinear couplings in structure formation and transport regulation in plasma turbulence /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC IP addresses, 2003. http://wwwlib.umi.com/cr/ucsd/fullcit?p3090444.

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Verniero, J. L. "Turbulence in heliospheric plasmas: characterizing the energy cascade and mechanisms of dissipation." Diss., University of Iowa, 2019. https://ir.uiowa.edu/etd/6870.

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In space and astrophysical plasmas, turbulence is responsible for transferring energy from large scales driven by violent events or instabilities, to smaller scales where turbulent energy is ultimately converted into plasma heat by dissipative mechanisms. In the inertial range, the self-similar turbulent energy cascade to smaller spatial scales is driven by the nonlinear interaction between counterpropagating Alfvén waves, denoted Alfvén wave collisions. For the more realistic case of the collision between two initially separated Alfvén wavepackets (rather than previous idealized, periodic cases), we use a nonlinear gyrokinetic simulation code, AstroGK, to demonstrate three key properties of strong Alfvén wave collisions: they (i) facilitate the perpendicular cascade of energy and (ii) generate current sheets self-consistently, and (iii) the modes mediating the nonlinear interaction are simply Alfvén waves. Once the turbulent cascade reaches the ion gyroradius scale, the Alfvén waves become dispersive and the turbulent energy starts to dissipate, energizing the particles via wave-particle interactions with eventual dissipation into plasma heat. The novel Field-Particle Correlation technique determines how turbulent energy dissipates into plasma heat by identifying which particles in velocity-space experience a net gain of energy. By utilizing knowledge of discrete particle arrival times, we devise a new algorithm called PATCH (Particle Arrival Time Correlation for Heliophysics) for implementing a field-particle correlator onboard spacecraft. Using AstroGK, we create synthetic spacecraft data mapped to realistic phase-space resolutions of modern spacecraft instruments. We then utilize Poisson statistics to determine the threshold number of particle counts needed to resolve the velocity-space signature of ion Landau damping using the PATCH algorithm.
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Books on the topic "Plasma turbulence; Nonlinear theories"

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Moiseev, S. S. Nonlinear instabilities in plasmas and hydrodynamics. Bristol: Institute of Physics, 2000.

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Z, Sagdeev R., Institute for Advanced Physics Studies. La Jolla International School of Physics., and International Topical Conference on Research Trends in Nonlinear Space Plasma Physics (1991 : La Jolla, Calif.), eds. Nonlinear space plasma physics. New York: American Institute of Physics, 1993.

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Lokenath, Debnath, and Riahi Daniel N, eds. Nonlinear instability, chaos, and turbulence. Boston: WIT Press/Computational Mechanics Publications, 1998.

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Zakharov, Vladimir E. Kolmogorov Spectra of Turbulence I: Wave Turbulence. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992.

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Stefan, V. Alexander. Nonlinear electromagnetic radiation plasma interactions. La Jolla, CA: Stefan University Press, 2008.

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Introduction to nonlinear fluid-plasma waves. Dordrecht: Kluwer Academic Publishers, 1988.

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service), SpringerLink (Online, ed. Wave Turbulence. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2011.

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Biskamp, D. Nonlinear magnetohydrodynamics. Cambridge [England]: Cambridge University Press, 1993.

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Biskamp, D. Nonlinear magnetohydrodynamics. Cambridge [England]: Cambridge University Press, 1997.

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Biskamp, Dieter. Nonlinear magnetohydrodynamics. Cambridge [England]: Cambridge University Press, 1993.

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Book chapters on the topic "Plasma turbulence; Nonlinear theories"

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Shalchi, Andreas. "On Astrophysical Turbulence." In Nonlinear Cosmic Ray Diffusion Theories, 29–56. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-00309-7_2.

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Kono, Mitsuo, and Miloš M. Škorić. "Multifractal Characterization of Plasma Edge Turbulence." In Nonlinear Physics of Plasmas, 481–507. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-14694-7_14.

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Sagaut, Pierre, and Claude Cambon. "The Essentials of Linear and Nonlinear Theories and Models." In Homogeneous Turbulence Dynamics, 831–80. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-73162-9_17.

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Ruderman, M. S. "Nonlinear Waves in the Magnetically Structured Solar Atmosphere." In Turbulence, Waves and Instabilities in the Solar Plasma, 239–74. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-007-1063-4_12.

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Kishida, Keiji, and Keisuke Araki. "Orthonormal Divergence-Free Wavelet Analysis of Spatial Correlation between Kinetic Energy and Nonlinear Transfer in Turbulence." In Statistical Theories and Computational Approaches to Turbulence, 248–59. Tokyo: Springer Japan, 2003. http://dx.doi.org/10.1007/978-4-431-67002-5_17.

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Saikia, Banashree, and P. N. Deka. "Non-linear Fluctuating Parts of the Particle Distribution Function in the Presence of Drift Wave Turbulence in Vlasov Plasma." In Nonlinear Dynamics and Applications, 225–31. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-99792-2_20.

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Ragionieri, Rodolfo. "Competizione e complessità nel sistema internazionale tra equilibri e caos." In Studi e saggi, 105–20. Florence: Firenze University Press, 2022. http://dx.doi.org/10.36253/978-88-5518-595-0.09.

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Abstract:
The study of complexity in world politics began painstakingly in the 1980s on the initiative of authors such as James Rosenau, and looks at different types of complexity such as non-linear interactions, the interaction between actors at different levels (turbulence), the emergence of structures. The chapter intends to analyze the contribution the study of competition processes can provide by means of the theory of dynamical systems. For this purpose, nonlinear equations derived from Richardson's and equations formulated in the framework of population theories concerning crime or terrorism are considered. Finally, the need to move on to the theory of self-organization and emergent structures is indicated.
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Krommes, John A. "Analytical Descriptions of Plasma Turbulence." In Lecture Notes on Turbulence and Coherent Structures in Fluids, Plasmas and Nonlinear Media, 115–232. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812774071_0004.

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Shats, Michael, and Hua Xia. "Experimental Studies of Plasma Turbulence." In Lecture Notes on Turbulence and Coherent Structures in Fluids, Plasmas and Nonlinear Media, 233–79. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812774071_0005.

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"Electrostatic Klimontovich Weak Turbulence Theory." In Classical Kinetic Theory of Weakly Turbulent Nonlinear Plasma Processes, 75–104. Cambridge University Press, 2019. http://dx.doi.org/10.1017/9781316771259.007.

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Conference papers on the topic "Plasma turbulence; Nonlinear theories"

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Dylov, Dmitry V., and Jason W. Fleischer. "All-Optical Plasma Turbulence." In Nonlinear Optics: Materials, Fundamentals and Applications. Washington, D.C.: OSA, 2007. http://dx.doi.org/10.1364/nlo.2007.tuc4.

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Toufen, Dennis, Felipe Pereira, Zwinglio Guimarães-Filho, Ibere Caldas Caldas, and Ken Gentle. "PLASMA TURBULENCE ANALYSIS IN TEXAS HELIMAK." In 6th International Conference on Nonlinear Science and Complexity. São José dos Campos, Brazil: INPE Instituto Nacional de Pesquisas Espaciais, 2016. http://dx.doi.org/10.20906/cps/nsc2016-0082.

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Dendy, R. O., Bengt Eliasson, and Padma K. Shukla. "Information Theory and Plasma Turbulence." In NEW DEVELOPMENTS IN NONLINEAR PLASMA PHYSICS: Proceedings of the 2009 ICTP Summer College on Plasma Physics and International Symposium on Cutting Edge Plasma Physics. AIP, 2009. http://dx.doi.org/10.1063/1.3266803.

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XIA, HUA, and MICHAEL G. SHATS. "SPECTRAL TRANSFER ANALYSIS IN PLASMA TURBULENCE STUDIES." In Proceedings of the COSNet/CSIRO Workshop on Turbulence and Coherent Structures in Fluids, Plasmas and Nonlinear Media. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812771025_0020.

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Kourakis, I., V. Koukouloyannis, B. Farokhi, P. K. Shukla, José Tito Mendonça, David P. Resendes, and Padma K. Shukla. "Localized excitations in dusty plasma crystals: on the interface among plasma physics and nonlinear lattice theories." In MULTIFACETS OF DUSTRY PLASMAS: Fifth International Conference on the Physics of Dusty Plasmas. AIP, 2008. http://dx.doi.org/10.1063/1.2997278.

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Ghosh, S., D. J. Thomson, W. H. Matthaeus, L. J. Lanzerotti, Dimitris Vassiliadis, Shing F. Fung, Xi Shao, Ioannis A. Daglis, and Joseph D. Huba. "Turbulence in the Interplanetary Medium: Can Discrete Modes Co-Exist With Turbulence?" In MODERN CHALLENGES IN NONLINEAR PLASMA PHYSICS: A Festschrift Honoring the Career of Dennis Papadopoulos. AIP, 2011. http://dx.doi.org/10.1063/1.3544321.

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Kuznetsov, E. A., T. Passot, P. L. Sulem, P. Hellinger, Giuseppe Bertin, Franca De Luca, Giuseppe Lodato, Roberto Pozzoli, and Massimiliano Romé. "Nonlinear mirror structures in a plasma with thermal pressure anisotropy." In PLASMAS IN THE LABORATORY AND THE UNIVERSE: Interactions, Patterns, and Turbulence. AIP, 2010. http://dx.doi.org/10.1063/1.3460120.

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KROMMES, JOHN A. "THE TRANSITION TO ION-TEMPERATURE-GRADIENT-DRIVEN PLASMA TURBULENCE." In Proceedings of the COSNet/CSIRO Workshop on Turbulence and Coherent Structures in Fluids, Plasmas and Nonlinear Media. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812771025_0019.

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Smith, Edward J., and Xiaoyan Zhou. "Slow mode waves in the heliospheric plasma sheet." In TURBULENCE AND NONLINEAR PROCESSES IN ASTROPHYSICAL PLASMAS; 6th Annual International Astrophysics Conference. AIP, 2007. http://dx.doi.org/10.1063/1.2778957.

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Roytershteyn, Vadim, and Gian Luca Dclzanno. "Nonlinear Coupling of Whistler Waves to Oblique Electrostatic Turbulence Enabled by Cold Plasma." In 2021 International Conference on Electromagnetics in Advanced Applications (ICEAA). IEEE, 2021. http://dx.doi.org/10.1109/iceaa52647.2021.9539754.

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Reports on the topic "Plasma turbulence; Nonlinear theories"

1

E. A. Belli, G. W. Hammett, and W. Dorland. Effects of Plasma Shaping on Nonlinear Gyrokinetic Turbulence. Office of Scientific and Technical Information (OSTI), August 2008. http://dx.doi.org/10.2172/939431.

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C. L. Bohn. Nonlinear Dynamics of High-Brightness Electron Beams and Beam-Plasma Interactions: Theories, Simulations, and Experiments. Office of Scientific and Technical Information (OSTI), May 2008. http://dx.doi.org/10.2172/940002.

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