Relevant bibliographies by topics / Landau-Ginzburg models

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  2. Dissertations / Theses
  3. Books
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Academic literature on the topic 'Landau-Ginzburg models'

Author: Grafiati
Published: 4 June 2021
Last updated: 4 February 2022

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Journal articles on the topic "Landau-Ginzburg models"

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Przyjalkowski, V. V. "Toric Landau–Ginzburg models." Russian Mathematical Surveys 73, no. 6 (December 2018): 1033–118. http://dx.doi.org/10.1070/rm9852.

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VAFA, CUMRUN. "TOPOLOGICAL LANDAU-GINZBURG MODELS." Modern Physics Letters A 06, no. 04 (February 10, 1991): 337–46. http://dx.doi.org/10.1142/s0217732391000324.

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We derive a general expression for correlation functions of topological Landau-Ginzburg models on an arbitrary genus Riemann surface. The expressions we find for the correlation functions suggest that for ĉ>1 the perturbation of the theory by chiral primary fields of dimensions bigger than one is rather singular, though perturbation by relevant chiral primary fields seems sensible regardless of the value of ĉ.
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Richardson, G., and J. Rubinstein. "Canonical reduced Ginzburg–Landau models." Physica C: Superconductivity 332, no. 1-4 (May 2000): 289–91. http://dx.doi.org/10.1016/s0921-4534(99)00688-7.

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Guffin, Josh, and Eric Sharpe. "A-twisted Landau–Ginzburg models." Journal of Geometry and Physics 59, no. 12 (December 2009): 1547–80. http://dx.doi.org/10.1016/j.geomphys.2009.07.014.

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Chun, E. J., J. Mas, J. Lauer, and H. P. Nilles. "Duality and Landau-Ginzburg models." Physics Letters B 233, no. 1-2 (December 1989): 141–46. http://dx.doi.org/10.1016/0370-2693(89)90630-8.

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Clarke, Patrick. "Birationality and Landau–Ginzburg Models." Communications in Mathematical Physics 353, no. 3 (February 7, 2017): 1241–60. http://dx.doi.org/10.1007/s00220-017-2830-0.

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WITTEN, EDWARD. "ON THE LANDAU-GINZBURG DESCRIPTION OF N=2 MINIMAL MODELS." International Journal of Modern Physics A 09, no. 27 (October 30, 1994): 4783–800. http://dx.doi.org/10.1142/s0217751x9400193x.

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The conjecture that N=2 minimal models in two dimensions are critical points of a superrenormalizable Landau-Ginzburg model can be tested by computing the path integral of the Landau-Ginzburg model with certain twisted boundary conditions. This leads to simple expressions for certain characters of the N=2 models which can be verified at least at low levels. An N=2 superconformal algebra can in fact be found directly in the noncritical Landau-Ginzburg system, giving further support for the conjecture.
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Harder, Andrew. "Hodge numbers of Landau–Ginzburg models." Advances in Mathematics 378 (February 2021): 107436. http://dx.doi.org/10.1016/j.aim.2020.107436.

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Vélez, Alexander Quintero. "McKay correspondence for Landau–Ginzburg models." Communications in Number Theory and Physics 3, no. 1 (2009): 173–208. http://dx.doi.org/10.4310/cntp.2009.v3.n1.a4.

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Melnikov, Ilarion V. "(0,2) Landau-Ginzburg models and residues." Journal of High Energy Physics 2009, no. 09 (September 28, 2009): 118. http://dx.doi.org/10.1088/1126-6708/2009/09/118.

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Dissertations / Theses on the topic "Landau-Ginzburg models"

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Cordner, Nathan James. "Isomorphisms of Landau-Ginzburg B-Models." BYU ScholarsArchive, 2016. https://scholarsarchive.byu.edu/etd/5882.

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Landau-Ginzburg mirror symmetry predicts isomorphisms between graded Frobenius algebras (denoted A and B) that are constructed from a nondegenerate quasihomogeneous polynomial W and a related group of symmetries G. In 2013, Tay proved that given two polynomials W1, W2 with the same quasihomogeneous weights and same group G, the corresponding A-models built with (W1, G) and (W2, G) are isomorphic. An analogous theorem for isomorphisms between orbifolded B-models remains to be found. This thesis investigates isomorphisms between B-models using polynomials in two variables in search of such a theorem. In particular, several examples are given showing the relationship between continuous deformation on the B-side and isomorphisms that stem as a corollary to Tay's theorem via mirror symmetry. Results on extending known isomorphisms between unorbifolded B-models to the orbifolded case are exhibited. A general pattern for B-model isomorphisms, relating mirror symmetry and continuous deformation together, is also observed.
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Shamoto, Yota. "Hodge-Tate conditions for Landau-Ginzburg models." Kyoto University, 2018. http://hdl.handle.net/2433/232220.

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Williams, Matthew Michael. "Mirror Symmetry for Non-Abelian Landau-Ginzburg Models." BYU ScholarsArchive, 2019. https://scholarsarchive.byu.edu/etd/8560.

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We consider Landau-Ginzburg models stemming from non-abelian groups comprised of non-diagonal symmetries, and we describe a rule for the mirror LG model. In particular, we present the non-abelian dual group G*, which serves as the appropriate choice of group for the mirror LG model. We also describe an explicit mirror map between the A-model and the B-model state spaces for two examples. Further, we prove that this mirror map is an isomorphism between the untwisted broad sectors and the narrow diagonal sectors in general.
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Weinreb, Paul Alexander. "Matrix factorisations and orbifold equivalence in Landau Ginzburg models." Thesis, King's College London (University of London), 2018. https://kclpure.kcl.ac.uk/portal/en/theses/matrix-factorisations-and-orbifold-equivalence-in-landau-ginzburg-models(760aa6e1-39fc-40e5-8217-16071295ab3f).html.

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We have investigated matrix factorisations of polynomials corresponding to vari-ous Landau-Ginzburg models with N = 2 supersymmetry. These are non-conformal Lagrangian models with specific super-potentials and are thought to flow to a renor-malisation group fixed point, which correspond to conformal field theories. Matrix factorisations can be used to construct BRST type operators which have a basis of states which correspond to the chiral primaries of the CFTs confirming the corre-spondence. We look at how these matrix factorisations can be created from exact sequences and put this into practice using the homological algebra package, Singu-lar, to create exact sequences/free resolutions from a restricted list of ideals thereby producing a matrix factorisation factory whose only input is the potential. We man-aged to construct all ADE indecomposable matrix factorisations from simple ideals built from generators in the quotient ring. As a side result, this procedure required the development of a simple algorithm to identify isomorphic matrix factorisations. We also make some statements about invertibility of matrix elements and factors in order to discuss and where other Lagrangian, conformal theories, such as Liouville might fit in this correspondence. The main body of work concentrates on the nature of orbifold equivalence. This is an aspect of topological field theories with defects. We analyse the nature of the quantum dimension formula making some interesting discoveries which we use to refine a procedure to find such orbifold equivalences. This procedure was eventually successful, in theory only limited by computer power, and we review the current updated cataloge of orbifold equivalences and discuss the some implications of our findings and observations on such equivalences.
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Peshkov, Anton. "Boltzmann-Ginzburg-Landau approach to simple models of active matter." Paris 6, 2013. http://www.theses.fr/2013PA066340.

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Le phénomène de mouvement collectif est présent parmi beaucoup de systèmes biologiques comme dans les volées d'oiseaux ou des bancs de poissons. Dans ces systèmes, le mouvement collectif apparait sans aucun leader ni force extérieure et est exclusivement dû à l'interaction parmi les individus et à la nature hors-équilibre de tout le système. Nous voulons étudier des modèles simples de mouvement collectif afin d'établir des classes d'universalité parmi la matière active sèche, c'est-à-dire des individus interagissant sans l'aide d'un fluide. Beaucoup de ces systèmes ont déjà été étudiés microscopiquement. Nous voulons obtenir des équations hydrodynamiques de ces systèmes pour confirmer les résultats microscopiques et pour prédire des propriétés nouvelles. Nous effectuons une dérivation d'équations hydrodynamiques en utilisant l'approche Boltzmann-Ginzburg-Landau introduit dans cette thèse. Quatre modèles de type Vicsek sont considérés. Un modèle polaire simple identique au modèle de Vicsek, un modèle mixte avec des particules polaires avec interactions nématiques, un modèle avec des particules polaires et interactions nématiques et finalement un modèle avec des particules polaires avec des interactions non-métriques. Dans chaque cas les équations obtenues sont étudiées de façon analytique et numérique. Nous trouvons que les équations obtenues reproduisent de façon fidèles les propriétés qualitatives des modèles microscopiques considérées, comme les différentes phases observées et la nature de transition entre ces phases. Dans certains cas des phases nouvelles sont trouvées, qui n'ont pas été reportées auparavant dans les modèles microscopiques. Beaucoup d'entre elles ont été confirmées a posteriori dans les simulations numériques de ces modèles
The phenomenon of collective motion is present among many different biological systems like bird flocks or fish schools. In these systems, the collective motion arises without any leader or external force, and is only due to interaction among individuals and the out of equilibrium nature of the whole system. We want to study simple models of collective motion in order to establish universality classes among dry active matter, i. E. Individuals that interact without the help of a fluid medium. Many of such systems have already been studied microscopically. We want to obtain coarse-grained equations of such models to confirm the microscopical results and to predict new properties. We perform a derivation of hydrodynamic equations using the introduced Boltzmann-Ginzburg-Landau approach. The equations are derived for four different Vicsek type models. A simple polar model, a mixed case of polar particles with nematic interactions, a model of nematic particles with nematic interactions and finally a model for polar particles with metric free interactions. In each case, the obtained equations are studied analytically and numerically. We find out that the hydrodynamic equations reproduce faithfully the qualitative properties of underlying microscopical models, like the different observed phases and the nature of phase transition between them. Some new phases not previously observed in microscopical models are found. Most of them where a posteriori confirmed in simulations of microscopical models
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Johnson, Jared Drew. "An Algebra Isomorphism for the Landau-Ginzburg Mirror Symmetry Conjecture." BYU ScholarsArchive, 2011. https://scholarsarchive.byu.edu/etd/2793.

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Landau-Ginzburg mirror symmetry takes place in the context of affine singularities in CN. Given such a singularity defined by a quasihomogeneous polynomial W and an appropriate group of symmetries G, one can construct the FJRW theory (see [3]). This construction fills the role of the A-model in a mirror symmetry proposal of Berglund and H ubsch [1]. The conjecture is that the A-model of W and G should match the B-model of a dual singularity and dual group (which we denote by WT and GT). The B-model construction is based on the Milnor ring, or local algebra, of the singularity. We verify this conjecture for a wide class of singularities on the level of Frobenius algebras, generalizing work of Krawitz [10]. We also review the relevant parts of the constructions.
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Deang, Jennifer Marie. "A Study of Inhomogeneities and Anisotrophies In Superconductors via Ginzburg-Landau Type models." Diss., Virginia Tech, 1997. http://hdl.handle.net/10919/30326.

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Superconductivity continues to be of great theoretical and practical interest and remains a challenging area of scientific inquiry. Most superconductors of practical utility are of type-II, i.e., they allow the penetration of magnetic fields in the form of tubes of flux that are referred to as "vortices." Motion of these vortices due to, e.g., applied currents, induce a loss of perfect conductivity. Knowing how vortices move and arrange themselves in lattice structures, how their movement is suppressed by pinning mechanisms, and how their movement is affected by thermal fluctuations is critical to understanding how to maintain resistanceless current flow. We study a variety of Ginzburg-Landau type models for superconductivity that can account for inhomogeneous and isotropy materials, grain boundaries, and thermal fluctuations. We develop robust, accurate, and efficient numerical codes and apply them to numerous studies of how vortex motions are affected by the various mechanisms mentioned above. We also examine some analytical aspects of type-II superconductors under the influence of thermal fluctuations.
Ph. D.
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Haas, Tobias [Verfasser], and Guido [Akademischer Betreuer] Schneider. "Amplitude equations for Boussinesq and Ginzburg-Landau-like models / Tobias Haas ; Betreuer: Guido Schneider." Stuttgart : Universitätsbibliothek der Universität Stuttgart, 2019. http://d-nb.info/1211649709/34.

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Merrell, Evan D. "A Maple Program for Computing Landau-Ginzburg A- and B-Models and an Exploration of Mirror Symmetry." BYU ScholarsArchive, 2012. https://scholarsarchive.byu.edu/etd/3322.

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Mirror symmetry has been a significant area of research for geometry and physics for over two decades. Berglund and Hubsch proposed that for a certain family of singularities W, the so called "transposed" singularity WT should be the mirror partner of W. cite{BH} The techniques for constructing the orbifold LG models to test this conjecture were developed by FJR in cite{FJR} with a cohomological field theory generalized from the study of r-spin curves. The duality of LG A- and B-models became more elaborate when Krawitz cite{Krawitz} generalized the Intriligator-Vafa orbifold B-model to include contributions from more than one sector.This thesis presents a program written in Maple for explicitly computing bases for both LG A- and B-model rings, as well as the correlators for A-models to the extent of current knowledge. Included is a list of observations and conjectures drawn from computations done in the program.
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Valdez-Balderas, Daniel. "Models for inhomogeneities and thermal fluctuations in two-dimensional superconductors." Columbus, Ohio : Ohio State University, 2007. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1180117179.

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Books on the topic "Landau-Ginzburg models"

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Provatas, Nicholas. Phase-field methods in materials science and engineering. Weinheim: Wiley-VCH, 2010.

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Sandier, Etienne, and Sylvia Serfaty. Vortices in the Magnetic Ginzburg-Landau Model. Boston, MA: Birkhäuser Boston, 2007. http://dx.doi.org/10.1007/978-0-8176-4550-2.

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Pacard, Frank, and Tristan Riviere. Linear and Nonlinear Aspects of Vortices: The Ginzburg-Landau Model (Progress in Nonlinear Differential Equations and Their Applications). Birkhäuser Boston, 2000.

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Vortices in the Magnetic Ginzburg-Landau Model (Progress in Nonlinear Differential Equations and Their Applications). Birkhäuser Boston, 2006.

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Zeitlin, Vladimir. Resonant Wave Interactions and Resonant Excitation of Wave-guide Modes. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0012.

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The idea of resonant nonlinear interactions of waves, and of resonant wave triads, is first explained using the example of Rossby waves, and then used to highlight a mechanism of excitation of wave-guide modes, by impinging free waves at the oceanic shelf, and at the equator. Physics and mathematics of the mechanism, which is related to the phenomena of parametric resonance and wave modulation, are explained in detail in both cases. The resulting modulation equations, of Ginzburg–Landau or nonlinear Schrodinger type, are obtained by multi-scale asymptotic expansions and elimination of resonances, after the explanation of this technique. The chapter thus makes a link between geophysical fluid dynamics and other branches of nonlinear physics. A variety of nonlinear phenomena including coherent structure formation is displayed. The resonant excitation of wave-guide modes provides an efficient mechanism of energy transfer to the wave guides from the large to the small.
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Vortices in the Magnetic Ginzburg-Landau Model (Progress in Nonlinear Differential Equations and Their Applications Book 70). Birkhäuser, 2008.

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Book chapters on the topic "Landau-Ginzburg models"

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Duplij, Steven, and Steven Duplij. "Landau-Ginzburg Models." In Concise Encyclopedia of Supersymmetry, 226. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/1-4020-4522-0_295.

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Coullet, P., and L. Gil. "Ginzburg-Landau models of non-equilibrium." In Partially Intergrable Evolution Equations in Physics, 261–75. Dordrecht: Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-0591-7_8.

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Hoffmann, Karl-Heinz, and Qi Tang. "Thin Plate/Film G-L Models." In Ginzburg-Landau Phase Transition Theory and Superconductivity, 251–81. Basel: Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8274-3_8.

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Ripka, Georges. "3 The Landau-Ginzburg Model of a Dual Superconductor." In Dual Superconductor Models of Color Confinement, 33–77. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-40989-2_3.

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Ruddat, Helge. "Mirror Duality of Landau–Ginzburg Models via Discrete Legendre Transforms." In Lecture Notes of the Unione Matematica Italiana, 377–406. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06514-4_9.

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Alama, S., and L. Bronsard. "Symmetric Vortex Solutions in the U(1) and SO(5) Ginzburg-Landau Models of Superconductivity." In Nonlinear PDE’s in Condensed Matter and Reactive Flows, 323–37. Dordrecht: Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-010-0307-0_14.

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Ktitorov, S. A., and E. S. Babaev. "Fluctuations in the Lattice Ginzburg-Landau Model." In Fluctuation Phenomena in High Temperature Superconductors, 301–9. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-011-5536-6_24.

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Izadi, Mojtaba, Charles R. Koch, and Stevan S. Dubljevic. "Model Predictive Control of Ginzburg-Landau Equation." In Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 75–90. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-98177-2_5.

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Bethuel, Fabrice, Haim Brezis, and Frederic Helein. "Non-minimizing solutions of the Ginzburg-Landau equation." In Modern Birkhäuser Classics, 107–36. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-66673-0_10.

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Huebener, Rudolf P. "Ginzburg-Landau-Theorie, Magnetische Fluss-Quantisierung, London-Modell." In essentials, 19–24. Wiesbaden: Springer Fachmedien Wiesbaden, 2017. http://dx.doi.org/10.1007/978-3-658-19383-6_5.

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Conference papers on the topic "Landau-Ginzburg models"

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Morikawa, Okuto. "Numerical study of ADE-type $\mathcal{N}=2$ Landau-Ginzburg models." In 37th International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2019. http://dx.doi.org/10.22323/1.363.0145.

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Dong, Wen, David Pisani, and Christopher S. Lynch. "A Discrete Phase Model for Ferroelectric Domain Evolution." In ASME 2011 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. ASMEDC, 2011. http://dx.doi.org/10.1115/smasis2011-5061.

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Discrete phase modeling utilizes a finite element framework with a Landau-Devonshire type multi-well potential as a material subroutine to model domain evolution in ferroelectrics. The time-dependent Ginzburg-Landau equation with polarization as an order parameter governs evolution of polarization. In the discrete phase method, the domain wall width is not controlled by an adjustable parameter, the gradient energy term used in phase field models; rather, it is controlled by a balance between mechanical, structural, and electrostatic contributions to the free energy. The effect of this energy balance on the resulting domain wall width of 90° and 180° tetragonal domain walls is discussed and examples are presented.
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Ma, Zhanhua, and Clarence Rowley. "Low-dimensional Linearized Models for Systems with Periodic Orbits, with Application to the Ginzburg-Landau Equation." In 4th Flow Control Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2008. http://dx.doi.org/10.2514/6.2008-4196.

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Berti, V., and M. Fabrizio. "Well-Posedness for a Ginzburg-Landau Model in Superfluidity." In Proceedings of the International Conference in Honour of Brian Straughan. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789814293228_0001.

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Bittner, Elmar, Axel Krinner, and Wolfhard Janke. "Vortex-Line Percolation in a Three-Dimensional Complex Ginzburg-Landau Model." In XXIIIrd International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2005. http://dx.doi.org/10.22323/1.020.0247.

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Dutt, S. "Study of phase transitions in the light of Ginzburg-Landau model." In INTERNATIONAL CONFERENCE ON RECENT TRENDS IN NUCLEAR PHYSICS-2012: ICRTNP-2012. AIP, 2013. http://dx.doi.org/10.1063/1.4801728.

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Dhote, Rakesh P., Roderick V. N. Melnik, Jean W. Zu, and Linxiang Wang. "Microstructures of Constrained Shape Memory Alloy Nanowires Under Thermal Effects." In ASME 2010 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. ASMEDC, 2010. http://dx.doi.org/10.1115/smasis2010-3814.

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In this paper, martensitic transformations in constrained Fe-Pd nanowires are studied using a mesoscopic model analyzed in detail numerically in our earlier papers. The dynamics of square-to-rectangular transformation is modeled by using the modified Ginzburg-Landau theory. The simulations are performed accounting for the thermal effects using the coupled equations of non-linear thermoelasticity. Up to date, these effects have typically been neglected in modeling microstructures at the scales of interest considered here. Nanowires of length 2000 nm and widths ranging from 200 nm to 50 nm are simulated to study the effect of size on the microstructure evolution. There exists a critical width below which the size effect is prominent. We present a series of numerical results demonstrating this phenomenon. We also have carried out the study of variations in values of bulk, shear, and Landau constants to understand the difference in evolved microstructure in the coupled and uncoupled physics.
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Liu, T., and C. S. Lynch. "Phase Field Simulation of Ferroelectric Single Crystals." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-79622.

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Ferroelectric materials exhibit spontaneous polarization and domain structures below the Curie temperature. In this study a cubic to tetragonal phase transformation and the evolution of domain structures in ferroelectric crystals are simulated by using the time-dependent Ginzburg-Landau equation. The effects of electric boundary conditions on the formation of domain patterns and field induced polarization switching are discussed. The phase field model is used to simulate the formation of domain structures, domain wall motion and the macroscopic response of ferroelectric materials under external fields.
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Schrade, David, Bai-Xiang Xu, Ralf Mu¨ller, and Dietmar Gross. "On Phase Field Modeling of Ferroelectrics: Parameter Identification and Verification." In ASME 2008 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. ASMEDC, 2008. http://dx.doi.org/10.1115/smasis2008-411.

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This contribution introduces a thermodynamically consistent, fully electro-mechanically coupled micro-mechanical model for ferroelectric materials. Adopting a phase field concept, in which the spontaneous polarization is used as order parameter, a Ginzburg-Landau type theory is formulated for the evolution of the order parameter. The equations are discretized within the scope of the Finite Element Method, and implicit time integration is used to solve the non-linear evolution equation. Examples illustrate the physical meaning of phase field parameters and give an application to multi-axial switching in which experimental results are used for comparison.
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Cohen, Kelly, Stefan Siegel, Thomas Mclaughlin, and James Myatt. "Proper Orthogonal Decomposition Modeling of a Controlled Ginzburg-Landau Cylinder Wake Model." In 41st Aerospace Sciences Meeting and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2003. http://dx.doi.org/10.2514/6.2003-1292.

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Reports on the topic "Landau-Ginzburg models"

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Callander, Brian, Elizabeth Gasparim, Rollo Jenkins, and Lino Marcos Silva. Self-Duality for Landau--Ginzburg Models. Jgsp, 2014. http://dx.doi.org/10.7546/jgsp-35-2014-1-10.

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Hatch, D. M., A. Saxena, and G. R. Barsch. Landau-Ginzburg model of interphase boundaries in CsCl-type ferroelastics due to M{sup -}{sub 5} mode instability: LaAg{sub 1-x}In{sub x}. Office of Scientific and Technical Information (OSTI), July 1995. http://dx.doi.org/10.2172/88653.

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