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Dissertations / Theses on the topic 'Vlasov theory'
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Tronci, Cesare. "Geometric dynamics of Vlasov kinetic theory and its moments." Thesis, Imperial College London, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.486660.
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The Vlasov equation of kinetic theory is introduced and the Hamiltonian structure of its moments is presented. Then we focus on the geodesic evolution of the Vlasov moments [1.2]. As a first step, these moment equations generalize the Camassa-Holm equation [3] to its multi-component version [4]. Subsequently, adding electrostatic forces to the geodesic moment equations relates them to the Benney equations [5] and to the equations for beam dynamics in particle accelerators. Next, we develop a kinetic theory for self assembly in nano-particles. The Darcy law [6] is introduced as a general principle for aggregation dynamics in friction dominated systems (at different scales). Then, a kinetic equation is introduced [7,8] for the dissipative motion of isotropic nano-particles. The zeroth-moment dynamics of this equation recovers the classical Darcy law at the macroscopic level [7]. A kinetic-theory description for oriented nano-particles is also presented [9]. At the macroscopic level, the zeroth moments of this kinetic equation recover the magnetization dynamics of the Landau-Lifshitz-Gilbert equation [10]. The moment equations exhibit the spontaneous emergence of singular solutions (clumpons) that finally merge in one singularity. This behaviour represents aggregation and alignment of oriented nano-particles. Finally, the Smoluchowsky description is derived from the dissipative Vlasov equation for anisotropic interactions. Various levels of approximate Smoluchowsky descriptions are proposed as special cases of the general treatment. As a result, the macroscopic momentum emerges as an additional dynamical variable that in general cannot be neglected.
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Zhang, Mei. "Some problems on conservation laws and Vlasov-Poisson-Boltzmann equation /." access full-text access abstract and table of contents, 2009. http://libweb.cityu.edu.hk/cgi-bin/ezdb/thesis.pl?phd-ma-b23749465f.pdf.
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Thesis (Ph.D.)--City University of Hong Kong, 2009."Submitted to Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy." Includes bibliographical references (leaves [90]-94)
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Li, Li. "The asymptotic behavior for the Vlasov-Poisson-Boltzmann system & heliostat with spinning-elevation tracking mode /." access full-text access abstract and table of contents, 2009. http://libweb.cityu.edu.hk/cgi-bin/ezdb/thesis.pl?phd-ma-b30082419f.pdf.
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Thesis (Ph.D.)--City University of Hong Kong, 2009."Submitted to Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy." Includes bibliographical references (leaves [84]-87)
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Maruca, Bennett Andrew. "Instability-Driven Limits on Ion Temperature Anisotropy in the Solar Wind: Observations and Linear Vlasov Theory." Thesis, Harvard University, 2012. http://dissertations.umi.com/gsas.harvard:10457.
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Kinetic microinstabilities in the solar wind arise when its non-thermal properties become too extreme. This thesis project focused specifically on the four instabilities associated with ion temperature anisotropy: the cyclotron, mirror, and parallel and oblique firehose instabilities. Numerous studies have provided evidence that proton temperature anisotropy in the solar wind is limited by the actions of these instabilities. For this project, a fully revised analysis of data from the Wind spacecraft's Faraday cups and calculations from linear Vlasov theory were used to extend these findings in two respects. First, theoretical thresholds were derived for the \(\alpha\)-particle temperature anisotropy instabilities, which were then found to be consistent with a statistical analysis of Wind \(\alpha\)-particle data. This suggests that \(\alpha\)-particles, which constitute only about 5% of ions in the solar wind, are nevertheless able to drive temperature anisotropy instabilities. Second, a statistical analysis of Wind proton data found that proton temperature was significantly enhanced in plasma unstable due to proton temperature anisotropy. This implies that extreme proton temperature anisotropies in solar wind at 1 AU arise from ongoing anisotropic heating (versus cooling from, e.g., CGL double adiabatic expansion). Together, these results provide further insight into the complex evolution of the solar wind's non-fluid properties.Astronomy
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Allanson, Oliver Douglas. "Theory of one-dimensional Vlasov-Maxwell equilibria : with applications to collisionless current sheets and flux tubes." Thesis, University of St Andrews, 2017. http://hdl.handle.net/10023/11916.
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Vlasov-Maxwell equilibria are characterised by the self-consistent descriptions of the steady-states of collisionless plasmas in particle phase-space, and balanced macroscopic forces. We study the theory of Vlasov-Maxwell equilibria in one spatial dimension, as well as its application to current sheet and flux tube models. The ‘inverse problem' is that of determining a Vlasov-Maxwell equilibrium distribution function self-consistent with a given magnetic field. We develop the theory of inversion using expansions in Hermite polynomial functions of the canonical momenta. Sufficient conditions for the convergence of a Hermite expansion are found, given a pressure tensor. For large classes of DFs, we prove that non-negativity of the distribution function is contingent on the magnetisation of the plasma, and make conjectures for all classes. The inverse problem is considered for nonlinear ‘force-free Harris sheets'. By applying the Hermite method, we construct new models that can describe sub-unity values of the plasma beta (βpl) for the first time. Whilst analytical convergence is proven for all βpl, numerical convergence is attained for βpl = 0.85, and then βpl = 0.05 after a ‘re-gauging' process. We consider the properties that a pressure tensor must satisfy to be consistent with ‘asymmetric Harris sheets', and construct new examples. It is possible to analytically solve the inverse problem in some cases, but others must be tackled numerically. We present new exact Vlasov-Maxwell equilibria for asymmetric current sheets, which can be written as a sum of shifted Maxwellian distributions. This is ideal for implementations in particle-in-cell simulations. We study the correspondence between the microscopic and macroscopic descriptions of equilibrium in cylindrical geometry, and then attempt to find Vlasov-Maxwell equilibria for the nonlinear force-free ‘Gold-Hoyle' model. However, it is necessary to include a background field, which can be arbitrarily weak if desired. The equilibrium can be electrically non-neutral, depending on the bulk flows.
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Brigouleix, Nicolas. "Sur le système de Vlasov-Maxwell : régularité et limite non relativiste." Thesis, Institut polytechnique de Paris, 2020. http://www.theses.fr/2020IPPAX098.
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Cette thèse est consacrée à l'étude du système d'équations aux dérivées partielles de Vlasov-Maxwell qui décrit l'évolution au cours du temps de la fonction de distribution de particules chargées dans un plasma. Nos travaux portent plus particulièrement sur la régularité des solutions de ce système et le problème de la limite non-relativiste.Dans un premier temps, on étudie un modèle jouet combinant une équation de Vlasov et un système d'équations de transport. On utilise les méthodes utilisées pour obtenir et améliorer le critère de Glassey-Strauss qui donne une condition suffisante sous laquelle une solution forte du système de Vlasov-Maxwell ne développe pas de singularités. La perte de régularité se manifeste lorsque la vitesse des particules est proche de la vitesse de résonnance du système hyperbolique adjoint. Le même phénomène se produit pour les solutions de notre système jouet, mais il possède une structure moins complexe.Dans un deuxième temps, on aborde la question de la limite non relativiste. Après adimensionnement, la vitesse de la lumière peut être considérée comme un grand paramètre du système. Lorsque celui ci tend vers l'infini, on parle de limite non-relativiste. Au premier ordrer, la limite non relativiste du système de Vlasov-Maxwell est le système de Vlasov-Poisson. Dans un premier chapitre, on établit une méthode itérative qui permet formellement d'obtenir des systèmes couplant l'équation de Vlasov à un système elliptique et formant une approximation non relativiste d'ordre arbitrairement élevé du système de Vlasov-Maxwell. Ces systèmes sont de plus bien posés dans certains espaces de Sobolev. Dans un second chapitre on démontre un résultat de limite non relativiste vers le système de Vlasov-Poisson sous des conditions ne portant que sur la densité macroscopique de charges. Pour ce faire on étudie une fonctionnelle quantifiant la distance de Wasserstein entre les solutions faibles des deux systèmesIn this dissertation, we study the Vlasov-Maxwell system of partial differential equations, describing the evolution of the distribution function of charged particles in a plasma. More precisely, we study the regularity of solutions to this system, and the question of the non-relativstic limit.In the first part, we study a Toy-model, combining the Vlasov equation with a system of transport equations. We use the methods developed to obtain and imrpove the Glassey-Strauss criterion, which gives a sufficient condition under which strong solutions do not develop singularities. The loss of regularity occures when the speed of the particles is close to the characteristic speed of the joined hyperbolic system. The same phenomenon occures for the solutions of the Toy-model, but its structure is easier to handle.In the second part, we focus on the question of the non-relativistic limit. After a rescaling of the equations, the speed of light can be considered as a big parameter. When it tends to infinity, it is called the non-relativistic limit. At first order, the non-relativistic limit of the Vlasov-Maxwell system is the Vlasov-Poisson system. First, an iterative method giving arbitrary high non-relativistic approximations is established. These systems combine the Vlasov-equation with elliptic systems of equations, and are well-posed in some weigthed Sobolev spaces. We also prove a result on the non-relativistic limit to the Vlasov-Poisson system under the weaker assumption of boundedness of the macroscopic density. We study a functional quantifying the Wasserstein distance between weak solutions of both systems
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Rathsman, Karin. "Modeling of Electron Cooling : Theory, Data and Applications." Doctoral thesis, Uppsala universitet, Kärnfysik, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-129686.
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The Vlasov technique is used to model the electron cooling force. Limitations of the applicability of the method is obtained by considering the perturbations of the electron plasma. Analytical expressions of the electron cooling force, valid beyond the Coulomb logarithm approximation, are derived and compared to numerical calculations using adaptive Monte Carlo integration. The calculated longitudinal cooling force is verified with measurements in CELSIUS. Transverse damping rates of betatron oscillations for a nonlinear cooling force is explored. Experimental data of the transverse monochromatic instability is used to determine the rms angular spread due to solenoid field imperfections in CELSIUS. The result, θrms= 0.16 ± 0.02 mrad, is in agreement with the longitudinal cooling force measurements. This verifies the internal consistency of the model and shows that the transverse and longitudinal cooling force components have different velocity dependences. Simulations of electron cooling with applications to HESR show that the momentum reso- lution ∆p/p smaller than 10−5 is feasible, as needed for the charmonium spectroscopy in the experimental program of PANDA. By deflecting the electron beam angle to make use of the monochromatic instability, a reasonable overlap between the circulating antiproton beam and the internal target can be maintained. The simulations also indicate that the cooling time is considerably shorter than expected.
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Cesbron, Ludovic. "On the derivation of non-local diffusion equations in confined spaces." Thesis, University of Cambridge, 2017. https://www.repository.cam.ac.uk/handle/1810/270355.
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The subject of the thesis is the derivation of non-local diffusion equations from kinetic models with heavy-tailed equilibrium in velocity. We are particularly interested in confining the kinetic equations and developing methods that allow us, from the confined kinetic models, to derive confined versions of non-local diffusion equations.
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Matsui, Tatsuki. "Kinetic theory and simulation of collisionless tearing in bifurcated current sheets." Diss., University of Iowa, 2008. http://ir.uiowa.edu/etd/38.
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Harrison, Michael George. "Equilibrium and dynamics of collisionless current sheets." Thesis, St Andrews, 2009. http://hdl.handle.net/10023/705.
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El-Khawaldeh, Amir Verfasser], Hans-Jörg [Akademischer Betreuer] [Kull, and Dieter [Akademischer Betreuer] Bauer. "Quantum Vlasov theory of Mie oscillations in metal clusters : a self-consistent approach to quantum surface effects in nanoparticles / Amir El-Khawaldeh ; Hans-Jörg Kull, Dieter Bauer." Aachen : Universitätsbibliothek der RWTH Aachen, 2018. http://d-nb.info/1171818513/34.
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El-Khawaldeh, Amir [Verfasser], Hans-Jörg [Akademischer Betreuer] Kull, and Dieter [Akademischer Betreuer] Bauer. "Quantum Vlasov theory of Mie oscillations in metal clusters : a self-consistent approach to quantum surface effects in nanoparticles / Amir El-Khawaldeh ; Hans-Jörg Kull, Dieter Bauer." Aachen : Universitätsbibliothek der RWTH Aachen, 2018. http://d-nb.info/1171818513/34.
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Wilson, Fiona. "Equilibrium and stability properties of collisionless current sheet models." Thesis, University of St Andrews, 2013. http://hdl.handle.net/10023/3548.
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The work in this thesis focuses primarily on equilibrium and stability properties of collisionless current sheet models, in particular of the force-free Harris sheet model. A detailed investigation is carried out into the properties of the distribution function found by Harrison and Neukirch (Physical Review Letters 102, 135003, 2009) for the force-free Harris sheet, which is so far the only known nonlinear force-free Vlasov-Maxwell equilibrium. Exact conditions on the parameters of the distribution function are found, which show when it can be single or multi-peaked in two of the velocity space directions. This is important because it may have implications for the stability of the equilibrium. One major aim of this thesis is to find new force-free equilibrium distribution functions. By using a new method which is different from that of Harrison and Neukirch, it is possible to find a complete family of distribution functions for the force-free Harris sheet, which includes the Harrison and Neukirch distribution function (Physical Review Letters 102, 135003, 2009). Each member of this family has a different dependence on the particle energy, although the dependence on the canonical momenta remains the same. Three detailed analytical examples are presented. Other possibilities for finding further collisionless force-free equilibrium distribution functions have been explored, but were unsuccessful. The first linear stability analysis of the Harrison and Neukirch equilibrium distribution function is then carried out, concentrating on macroscopic instabilities, and considering two-dimensional perturbations only. The analysis is based on the technique of integration over unperturbed orbits. Similarly to the Harris sheet case (Nuovo Cimento, 23:115, 1962), this is only possible by using approximations to the exact orbits, which are unknown. Furthermore, the approximations for the Harris sheet case cannot be used for the force-free Harris sheet, and so new techniques have to be developed in order to make analytical progress. Full analytical expressions for the perturbed current density are derived but, for the sake of simplicity, only the long wavelength limit is investigated. The dependence of the stability on various equilibrium parameters is investigated.
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Morel, Pierre. "Le modèle « water bag » appliqué aux équations cinétiques des plasmas de Tokamak." Thesis, Nancy 1, 2008. http://www.theses.fr/2008NAN10153/document.
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Ce travail a porté sur l'étude des instabilités de gradient de température ioniques (ITG) en géométrie cylindrique, le champ magnétique étant supposé constant et dirigé selon l'axe du cylindre. Une fonction de distribution discrète en forme de marche d'escalier est utilisée pour décrire la direction de vitesse parallèle au champ magnétique. L'équation de Vlasov se résume à un système de type multi fluides couplés par l'équation de quasi neutralité. Chaque fluide est décrit par un système fermé d'équations (continuité, Euler et fermeture adiabatique), caractéristiques d'un fluide incompressible, d'où la dénomination de sac d'eau ou "water bag". Le recours à cette description water bag est particulièrement intéressant dans le cas de problèmes à une seule dimension en vitesse. Ainsi, dans le cas des plasmas fortement magnétisés, un modèle water bag peut se combiner avantageusement aux modèles dits girocinétiques. Les paramètres associés a la représentation water bag ont pu être identifiés et reliés aux grandeurs macroscopiques par le biais d'une méthode originale d'équivalence au sens des moments. L'analyse water bag des ITG a permis de valider le modèle et les méthodes choisies. Ce travail a également permis de montrer que le concept de water bag peut sans problème prendre en compte des effets variés comme ceux liés a l'introduction d?un rayon de Larmor fini, tout comme à la description d'un plasma composé de plusieurs espèces d'ionsA drift-kinetic model in cylindrical geometry has been used to study Ion Temperature Gradients (ITG). The cylindrical plasma is considered as a limit case of a stretched torus. The magnetic field is assumed uniform and constant; it is directed along the axis of the column. A discrete distribution function f taking the form of a multi-step like function is used in place of the continuous distribution function along the parallel velocity direction. With respect to the properties of the Heaviside?s distribution, the Vlasov equation is reduced to a system of fluids coupled by the electromagnetic fields. This model is well suited mainly for problems involving a phase space with one velocity component. In the case of magnetized plasmas it gives an alternative way to study turbulence thanks to the gyro-average whose allows reducing the 3D velocity space into a 1D space. Parameters introduced by the water bag formalism have been linked to physical quantities by an original method of moment-sense equivalence. In the linear approximation, the water bag study of the ITG instability allows an interesting comparison with some well-known analytical results. The water-bag concept is not affected by taking into account Finite Larmor Radius effects. It well describes the case of multi-species plasma
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Er, Nuray. "Nuclear Spinodal Instabilities In Stochastic Mean-field Approaches." Phd thesis, METU, 2009. http://etd.lib.metu.edu.tr/upload/12610834/index.pdf.
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Nuclear spinodal instabilities are investigated in non-relativistic
and relativistic stochastic mean-field approaches for charge
asymmetric and charge symmetric nuclear matter. Quantum statistical
effect on the growth of instabilities are calculated in
non-relativistic approach. Due to quantal effects, in both symmetric
and asymmetric matter, dominant unstable modes shift towards longer
wavelengths and modes with wave numbers larger than the Fermi
momentum are strongly suppressed. As a result of quantum statistical
effects, in particular at lower temperatures, amplitude of density
fluctuations grows larger than those calculated in semi-classical
approximation.
Relativistic calculations in the semi-classical limit are compared
with the results of non-relativistic calculations based on
Skyrme-type effective interactions under similar conditions. A
qualitative difference appears in the unstable response of the
system: the system exhibits most unstable behavior at higher baryon
densities around $rho_{B}=0.4 rho_{0}$ in the relativistic
approach while most unstable behavior occurs at lower baryon
densities around $rho_{B}=0.2 rho_{0}$ in the non-relativistic
calculations.
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Liu, Yating. "Optimal Quantization : Limit Theorem, Clustering and Simulation of the McKean-Vlasov Equation." Thesis, Sorbonne université, 2019. http://www.theses.fr/2019SORUS215.
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Cette thèse contient deux parties. Dans la première partie, on démontre deux théorèmes limites de la quantification optimale. Le premier théorème limite est la caractérisation de la convergence sous la distance de Wasserstein d’une suite de mesures de probabilité par la convergence simple des fonctions d’erreur de la quantification. Ces résultats sont établis en Rd et également dans un espace de Hilbert séparable. Le second théorème limite montre la vitesse de convergence des grilles optimales et la performance de quantification pour une suite de mesures de probabilité qui convergent sous la distance de Wasserstein, notamment la mesure empirique. La deuxième partie de cette thèse se concentre sur l’approximation et la simulation de l’équation de McKean-Vlasov. On commence cette partie par prouver, par la méthode de Feyel (voir Bouleau (1988)[Section 7]), l’existence et l’unicité d’une solution forte de l’équation de McKean-Vlasov dXt = b(t, Xt, μt)dt + σ(t, Xt, μt)dBt sous la condition que les fonctions de coefficient b et σ sont lipschitziennes. Ensuite, on établit la vitesse de convergence du schéma d’Euler théorique de l’équation de McKean-Vlasov et également les résultats de l’ordre convexe fonctionnel pour les équations de McKean-Vlasov avec b(t,x,μ) = αx+β, α,β ∈ R. Dans le dernier chapitre, on analyse l’erreur de la méthode de particule, de plusieurs schémas basés sur la quantification et d’un schéma hybride particule- quantification. À la fin, on illustre deux exemples de simulations: l’équation de Burgers (Bossy and Talay (1997)) en dimension 1 et le réseau de neurones de FitzHugh-Nagumo (Baladron et al. (2012)) en dimension 3This thesis contains two parts. The first part addresses two limit theorems related to optimal quantization. The first limit theorem is the characterization of the convergence in the Wasserstein distance of probability measures by the pointwise convergence of Lp-quantization error functions on Rd and on a separable Hilbert space. The second limit theorem is the convergence rate of the optimal quantizer and the clustering performance for a probability measure sequence (μn)n∈N∗ on Rd converging in the Wasserstein distance, especially when (μn)n∈N∗ are the empirical measures with finite second moment but possibly unbounded support. The second part of this manuscript is devoted to the approximation and the simulation of the McKean-Vlasov equation, including several quantization based schemes and a hybrid particle-quantization scheme. We first give a proof of the existence and uniqueness of a strong solution of the McKean- Vlasov equation dXt = b(t, Xt, μt)dt + σ(t, Xt, μt)dBt under the Lipschitz coefficient condition by using Feyel’s method (see Bouleau (1988)[Section 7]). Then, we establish the convergence rate of the “theoretical” Euler scheme and as an application, we establish functional convex order results for scaled McKean-Vlasov equations with an affine drift. In the last chapter, we prove the convergence rate of the particle method, several quantization based schemes and the hybrid scheme. Finally, we simulate two examples: the Burger’s equation (Bossy and Talay (1997)) in one dimensional setting and the Network of FitzHugh-Nagumo neurons (Baladron et al. (2012)) in dimension 3
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Keane, Aidan J. "Liouville's equation and radiative acceleration in general relativity." Thesis, University of Glasgow, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.301358.
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Jones, Christopher Scott. "Closures of the Vlasov-Poisson system." Thesis, 2003. http://wwwlib.umi.com/cr/utexas/fullcit?p3116404.
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Preissl, Dayton. "The hot, magnetized, relativistic Vlasov Maxwell system." Thesis, 2020. http://hdl.handle.net/1828/12510.
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This master thesis is devoted to the kinetic description in phase space of strongly magnetized plasmas. It addresses the problem of stability near equilibria for magnetically confined plasmas modeled by the relativistic Vlasov Maxwell system. A small physically pertinent parameter ε, with 0 < ε << 1, related to the inverse of a gyrofrequency, governs the strength of a spatially inhomogeneous applied magnetic field given by the function x→ε−1Be(x). Local C1-solutions do exist. But these solutions may blow up in finite time. This phenomenon can only happen at high velocities [14] and, since ε−1is large, standard results predict that this may occur at a time Tε shrinking to zero when ε goes to 0. It has been proved recently in [7] that, in the case of neutral, cold, and dilute plasmas (like in the Earth’s magnetosphere), smooth solutions corresponding to perturbations of equilibria exist on a uniform time interval [0,T], with 0< T independent of ε. We investigate here the hot situation, which is more suitable for the description of fusion devices. A condition is derived for which perturbed W1,∞-solutions with large initial momentum also exist on a uniform time interval, they remain bounded in the sup norm for well-prepared initial data, and moreover they inherit some kind of stability.Graduate
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Hagstrom, George Isaac. "Infinite-dimensional Hamiltonian systems with continuous spectra : perturbation theory, normal forms, and Landau damping." Thesis, 2011. http://hdl.handle.net/2152/ETD-UT-2011-08-3753.
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Various properties of linear infinite-dimensional Hamiltonian systems are studied. The structural stability of the Vlasov-Poisson equation linearized around a homogeneous stable equilibrium [mathematical symbol] is investigated in a Banach space setting. It is found that when perturbations of [mathematical symbols] are allowed to live in the space [mathematical symbols], every equilibrium is structurally unstable. When perturbations are restricted to area preserving rearrangements of [mathematical symbol], structural stability exists if and only if there is negative signature in the continuous spectrum. This analogizes Krein's theorem for linear finite-dimensional Hamiltonian systems. The techniques used to prove this theorem are applied to other aspects of the linearized Vlasov-Poisson equation, in particular the energy of discrete modes which are embedded within the continuous spectrum. In the second part, an integral transformation that exactly diagonalizes the Caldeira-Leggett model is presented. The resulting form of the Hamiltonian, derived using canonical transformations, is shown to be identical to that of the linearized Vlasov-Poisson equation. The damping mechanism in the Caldeira-Leggett model is identified with the Landau damping of a plasma. The correspondence between the two systems suggests the presence of an echo effect in the Caldeira-Leggett model. Generalizations of the Caldeira-Leggett model with negative energy are studied and interpreted in the context of Krein's theorem.text
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Lacko, Miroslav. "Repatriace Čechů a Slováků do vlasti po skončení první světové války." Master's thesis, 2013. http://www.nusl.cz/ntk/nusl-329378.
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The topic of my work was The Repatriation of Czechs and Slovaks into Czechoslovakia after the First World War. I describe the years 1918 - 1923 in Central Europe, specifically in Czechoslovakia and in other new succession states after Austria-Hungary. My work is divided into 4 different chapters, introduction and conclusion. The first chapter describes the First World War and its consequences for Central European region. It also describes economic problems in succession states, the changes of territory, situation in Czechoslovakia after 1918 and it characterizes population in key countries (Czechoslovakia, Hungary, Austria and Poland) for my topic. The second chapter is focused on Czechoslovakia. It shortly explains reasons of emigration and immigration of Czechs and Slovaks before and also after the First World War. It describes factors which have big influence on repatriation in Czechoslovakia (for example land reform). The third and fourth chapters analyze materials from archives. They present a lot of very concrete examples of repatriation process (lack of housing, problems with citizenship, unemployment). It points at importance of state executive institutions for repatriation process. The Ministry of Foreign Affairs, the Ministry of Internal Affairs and the Ministry Social Security and...