Relevant bibliographies by topics / Geometric Phase Transition

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
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Academic literature on the topic 'Geometric Phase Transition'

Author: Grafiati
Published: 7 September 2023

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Journal articles on the topic "Geometric Phase Transition"

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ZHU, SHI-LIANG. "GEOMETRIC PHASES AND QUANTUM PHASE TRANSITIONS." International Journal of Modern Physics B 22, no. 06 (March 10, 2008): 561–81. http://dx.doi.org/10.1142/s0217979208038855.

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Quantum phase transition is one of the main interests in the field of condensed matter physics, while geometric phase is a fundamental concept and has attracted considerable interest in the field of quantum mechanics. However, no relevant relation was recognized before recent work. In this paper, we present a review of the connection recently established between these two interesting fields: investigations in the geometric phase of the many-body systems have revealed the so-called "criticality of geometric phase", in which the geometric phase associated with the many-body ground state exhibits universality, or scaling behavior in the vicinity of the critical point. In addition, we address the recent advances on the connection of some other geometric quantities and quantum phase transitions. The closed relation recently recognized between quantum phase transitions and some of the geometric quantities may open attractive avenues and fruitful dialogue between different scientific communities.
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Wei, Shao-Wen, Yu-Xiao Liu, Chun-E. Fu, and Hai-Tao Li. "Geometric Curvatures of Plane Symmetry Black Hole." Advances in High Energy Physics 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/734138.

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We study the properties and thermodynamic stability of the plane symmetry black hole from the viewpoint of geometry. We find that the Weinhold curvature gives the first-order phase transition atN=1, whereNis a parameter of the plane symmetry black hole while the Ruppeiner one shows first-order phase transition points for arbitraryN≠1. Considering the Legendre invariant proposed by Quevedo et al., we obtain a unified geometry metric, which contains the information of the second-order phase transition. So, the first-order and second-order phase transitions can be both reproduced from the geometry curvatures. The geometry is also found to be curved, and the scalar curvature goes to negative infinity at the Davie phase transition points beyond semiclassical approximation.
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Gebhart, Valentin, Kyrylo Snizhko, Thomas Wellens, Andreas Buchleitner, Alessandro Romito, and Yuval Gefen. "Topological transition in measurement-induced geometric phases." Proceedings of the National Academy of Sciences 117, no. 11 (March 2, 2020): 5706–13. http://dx.doi.org/10.1073/pnas.1911620117.

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The state of a quantum system, adiabatically driven in a cycle, may acquire a measurable phase depending only on the closed trajectory in parameter space. Such geometric phases are ubiquitous and also underline the physics of robust topological phenomena such as the quantum Hall effect. Equivalently, a geometric phase may be induced through a cyclic sequence of quantum measurements. We show that the application of a sequence of weak measurements renders the closed trajectories, hence the geometric phase, stochastic. We study the concomitant probability distribution and show that, when varying the measurement strength, the mapping between the measurement sequence and the geometric phase undergoes a topological transition. Our finding may impact measurement-induced control and manipulation of quantum states—a promising approach to quantum information processing. It also has repercussions on understanding the foundations of quantum measurement.
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Liu, Kun, and Shujuan Yi. "Geometric Phase and Quantum Phase Transition in Charge-Qubit Array." International Journal of Theoretical Physics 57, no. 9 (June 16, 2018): 2828–30. http://dx.doi.org/10.1007/s10773-018-3802-7.

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DEMIRTÜRK, SEMRA, and YIĞIT GÜNDÜÇ. "A GEOMETRIC APPROACH TO THE PHASE TRANSITIONS." International Journal of Modern Physics C 12, no. 09 (November 2001): 1361–73. http://dx.doi.org/10.1142/s0129183101002632.

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In this work, we have proposed a new geometrical method for calculating the critical temperature and critical exponents by introducing a set of bond breaking probability values. The probability value Pc corresponding to the Coniglio–Klein probability for the transition temperature is obtained among this set of trial probabilities. Critical temperature, thermal and magnetic exponents are presented for d = 2 and d = 3, q = 2 Potts model and for the application of the method to the system with first order phase transition, q = 7 Potts model on different size lattices are employed. The advantage of this method can be that the bond breaking probability can be applied, where the clusters are defined on a set of dynamic variables, which are different from the dynamic quantities of the actual Hamiltonian or the action of the full system. An immediate application can be to use the method on finite temperature lattice gauge theories.
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Franzosi, Roberto, Domenico Felice, Stefano Mancini, and Marco Pettini. "A geometric entropy detecting the Erdös-Rényi phase transition." EPL (Europhysics Letters) 111, no. 2 (July 1, 2015): 20001. http://dx.doi.org/10.1209/0295-5075/111/20001.

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Bel-Hadj-Aissa, Ghofrane, Matteo Gori, Vittorio Penna, Giulio Pettini, and Roberto Franzosi. "Geometrical Aspects in the Analysis of Microcanonical Phase-Transitions." Entropy 22, no. 4 (March 26, 2020): 380. http://dx.doi.org/10.3390/e22040380.

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In the present work, we discuss how the functional form of thermodynamic observables can be deduced from the geometric properties of subsets of phase space. The geometric quantities taken into account are mainly extrinsic curvatures of the energy level sets of the Hamiltonian of a system under investigation. In particular, it turns out that peculiar behaviours of thermodynamic observables at a phase transition point are rooted in more fundamental changes of the geometry of the energy level sets in phase space. More specifically, we discuss how microcanonical and geometrical descriptions of phase-transitions are shaped in the special case of ϕ 4 models with either nearest-neighbours and mean-field interactions.
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Viotti, Ludmila, Ana Laura Gramajo, Paula I. Villar, Fernando C. Lombardo, and Rosario Fazio. "Geometric phases along quantum trajectories." Quantum 7 (June 2, 2023): 1029. http://dx.doi.org/10.22331/q-2023-06-02-1029.

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A monitored quantum system undergoing a cyclic evolution of the parameters governing its Hamiltonian accumulates a geometric phase that depends on the quantum trajectory followed by the system on its evolution. The phase value will be determined both by the unitary dynamics and by the interaction of the system with the environment. Consequently, the geometric phase will acquire a stochastic character due to the occurrence of random quantum jumps. Here we study the distribution function of geometric phases in monitored quantum systems and discuss when/if different quantities, proposed to measure geometric phases in open quantum systems, are representative of the distribution. We also consider a monitored echo protocol and discuss in which cases the distribution of the interference pattern extracted in the experiment is linked to the geometric phase. Furthermore, we unveil, for the single trajectory exhibiting no quantum jumps, a topological transition in the phase acquired after a cycle and show how this critical behavior can be observed in an echo protocol. For the same parameters, the density matrix does not show any singularity. We illustrate all our main results by considering a paradigmatic case, a spin-1/2 immersed in time-varying a magnetic field in presence of an external environment. The major outcomes of our analysis are however quite general and do not depend, in their qualitative features, on the choice of the model studied.
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Zhang, Ruifeng, and Xiaojing Wang. "On generalized geometric domain-wall models." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 141, no. 4 (July 15, 2011): 881–95. http://dx.doi.org/10.1017/s0308210510001198.

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We study domain walls that are topological solitons in one dimension. We present an existence theory for the solutions of the basic governing equations of some extended geometrically constrained domain-wall models. When the cross-section and potential density are both even, we establish the existence of an odd domain-wall solution realizing the phase-transition process between two adjacent domain phases. When the cross-section satisfies a certain integrability condition, we prove that a domain-wall solution always exists that links two arbitrarily designated domain phases.
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Cui, H. T., K. Li, and X. X. Yi. "Geometric phase and quantum phase transition in the Lipkin–Meshkov–Glick model." Physics Letters A 360, no. 2 (December 2006): 243–48. http://dx.doi.org/10.1016/j.physleta.2006.08.040.

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Dissertations / Theses on the topic "Geometric Phase Transition"

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Al-Sawai, Wael. "Non-equilibrium Phase Transitions in Interacting Diffusions." Scholar Commons, 2018. https://scholarcommons.usf.edu/etd/7660.

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The theory of thermodynamic phase transitions has played a central role both in theoretical physics and in dynamical systems for several decades. One of its fundamental results is the classification of various physical models into equivalence classes with respect to the scaling behavior of solutions near the critical manifold. From that point of view, systems characterized by the same set of critical exponents are equivalent, regardless of how different the original physical models might be. For non-equilibrium phase transitions, the current theoretical framework is much less developed. In particular, an equivalent classification criterion is not available, thus requiring a specific analysis of each model individually. In this thesis, we propose a potential classification method for time-dependent dynamical systems, namely comparing the possible deformations of the original problem, and identifying dynamical systems which share the same deformation space. The specific model on which this procedure is developed is the Kuramoto model for interacting, disordered oscillators. Studied in the mean-field limit by a variety of methods, its associated synchronization phase transition appears as an appropriate model for cooperative phenomena ranging from coupled Josephson junctions to self-ordering patterns in biological and social systems. We investigate the geometric deformation of the dynamical system into the space of univalent maps of the unit disk, related to the Douady-Earle extension and the Denjoy-Wolff theory, and separately the algebraic deformation into the space of nonlinear sigma models for unitary operators. The results indicate that the Kuramoto model is representative for a large class of non-equilibrium synchronization models, with a rich phase-space diagram.
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Alves, Júnior Francisco Artur Pinheiro. "Modelos cosmológicos numa teoria geométrica escalar - tensorial da gravitação: aspectos clássicos e quânticos." Universidade Federal da Paraíba, 2016. http://tede.biblioteca.ufpb.br:8080/handle/tede/9539.

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In this thesis, we deal with a particular geometric scalar tensor theory, which is a version of the Brans-Dicke gravitation, formulated in aWeyl integrable space-time. This formulation is done using the Palatini's variation procedure. The main point of our work is to perform two particular applications of the geometrical Brans-Dicke theory. The rst one is the study of geometric fase transition phenomena, that's related to a continuous change in the space-time structure of the universe from a Riemann's geometry to a Weyl's geometry, or in the inverse sense, from Weyl's geometry to Riemann's geometry. This phenomena seems to take place when the universe starts to expand in a accelerated rate. The second one is the investigation of classical and quantum behaviour of a anisotropic n-dimensional universe . To nd solutions that display the dynamical compacti cation of non observed extra dimensions is the main motivation to study such universe.
Nesta tese, reapresentamos uma teoria escalar tensorial geométrica, que é uma versão da gravitação de Brans-Dicke formulada em um espaço-tempo de Weyl integrável. Com esta teoria fazemos duas aplicações especí cas. Uma delas para o estudo de um fenômeno, que chamamos de transição de fase geométrica, uma mudança contínua na estrutura geom étrica do espaço-tempo. Este fenômeno parece ocorrer quando o universo se expande aceleradamente. A segunda aplicação reside no estudo clássico e quântico do comportamento de um modelo de universo n-dimensional anisotrópico. A motivação para esta investigação é a busca de soluções que exibem o compactação dinâmica das dimensões extras, que não são observadas.
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Swift, Michael Robert. "Surface phase transitions in novel geometries." Thesis, University of Oxford, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.279938.

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Gori, Matteo. "Phase transitions theory and applications to biophysics." Thesis, Aix-Marseille, 2016. http://www.theses.fr/2016AIXM4111.

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Les études et les résultats présentés dans ce manuscrit ont pour but de développer une meilleure compréhension des principes à la base de l'auto-organisation dans les systèmes biologiques. La théorie topologique des transitions de phase est l'un des approches possibles pour fournir une généralisation de la description des transitions de phase dans les systèmes petits ou mésoscopiques. Cette théorie a été rigoureusement enracinée dans deux théorèmes: un contre exemple à l'un de ces théorèmes a été récemment découvert. La première partie de ce manuscrit est donc consacré à mieux comprendre ce «contre-exemple » pour verifier si et comment la théorie peut être sauvé.Dans la deuxieme parte de ce manuscrit les résultats des recherches théoriques, numériques et expérimentales sur la condensation à la Fr "ohlich sont reportés. Ceci est une condition préalable à l'activation des oscillations dipolaires géantes qui entraînent des interactions électrodynamiques à long portée entre les molécules coresonnantes. Dans cette thèse, on montre que les interactions à longue portée affectent sensiblement les propriétés de diffusion des molécules en solution. Une empreinte des interactions à long portée pourrait être un phénomène de «transition» en ce qui concerne le coefficient de diffusion en fonction d'un paramètre de contrôle proportionnel à l’intensité d'interaction. Simulations analogues ont été réalisées afin de valider une approche expérimentale visant à trouver une telle «empreinte» dans les systèmes avec interactions à longue portée
The studies and results reported in this manuscript are aimed to develop a deeper understanding of the principles at the basis of self-organization in biological system.The Topological Theory of phase transitions is one of the possible approaches to provide a generalization of description of phase transitions in small or mesoscopic systems. This theory has been rigorously rooted in two theorems: a counterexample to one of these theorems has been recently found. The first part of this manuscript is devoted to investigation of the "counterexample" to understand if and how the theory can be saved. In the second part of this manuscript the results of theoretical, numerical and experimental investigations on Fr"ohlich-like condensation for normal modes of biomolecules are reported. This is a prerequisite for the activation of giant dipole oscillations in biomolecules which entail long-range electrodynamic interactions between coresonant molecules. In this thesis is shown that long-range interactions markedly affect the self-diffusion properties of molecules in solution. A fingerprint of long-range interactions could be a "transitional" phenomenon concerning the self-diffusion coefficient as a function of a control parameter proportional to interaction strength. Analogous simulations have been performed to validate an experimental approach aimed at finding such "fingerprint" in systems with built-in long-range interactions
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Diaz, Polanco Jose Luis Bernardo. "Geometria do espaço-tempo no interior de um sistema em transição de fases." [s.n.], 2003. http://repositorio.unicamp.br/jspui/handle/REPOSIP/278478.

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Orientador: Patricio Anibal Letelier Sotomayor
Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Fisica Gleb Wataghin
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Resumo: São apresentadas soluções numéricas do sistema de equações diferenciais de Tolman-Oppenheimer- Volkov para um gás de partículas em transição de fases, no contexto da relatividade geral, encontrando a estrutura do espaço-tempo associada com a transição de fases. Para isto assumimos que o gás está formado por partículas autogravitantes, idênticas, com simetria esférica, e cujo tensor de energia-momentum é do tipo fluido perfeito. As interações internas do gás são representadas por uma equação de estado capaz de descrever uma transição de fase do tipo gás-Iíquido. Um gás estacionário deste tipo poderia representar uma estrela em equilíbrio hidrodinâmico. Concluímos que a termo dinâmica não perde sentido no contexto da relatividade geral, apresentando claramente que a transição de fases acontece só numa superfície esférica e concêntrica no interior da estrela, na qual a curvatura do espaço-tempo reflete, mais uma vez, o mesmo comportamento que a distribuição interna de matéria na estrela, neste caso, uma descontinuidade na região de coexistência de fases
Abstract: We present numerical solutions for the differencial equations the Tolman-Oppenheimer-Voltov for a gas particles in phase transition in the general relativity background, obtaining the space-time structure involved in the phase transition. For this purpouse, we consider the gas as formed by identical self-gravitating particles with spherical simetry and whose momentum- energy tensor is do like perfect fluid type. The internal interactions of the gas are represented by a state equation that has the property of describing gas-liquid phases transition. A stacionary gas like this is supposed to represent a star in hydrodynamic equilibrium. We conclude that there is no conflict of using thermodynamics in general relativity context, showing cleary that the phase transtition happens only in a spherical shell centered in the star geometrical center, about what the space-time curvature ilustrates, once more, the same behaviour expect by the distribution of matter inside the star, in such case, a descontinuity in the region of phase's coexistence
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Ronquillo, David Carlos. "Magnetic-Field-Driven Quantum Phase Transitions of the Kitaev Honeycomb Model." The Ohio State University, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1587035230123328.

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Awoga, Oladunjoye Aina. "QUANTUM PHASE TRANSITION IN SPIN-ORBIT COUPLED BOSE-EINSTEIN CONDENSATES IN OPTICAL LATTICES OF DIFFERENT GEOMETRIES." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for fysikk, 2014. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-25548.

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Mott insulator to superfluid phase transitions and unconventional superfluid phases in spin-orbit coupled Bose-Einstein condensate in one dimensional, square and hexagonal optical lattices are investigated using decoupling approximation and variational Gutzwiller wave function. We considered a system with two components. In the first part, we used decoupling approximation along side perturbation to chart the phase diagrams of the system in the absence of spin-orbit coupling. Our results show that the occupation number of the species, interspecies interaction and the ratio of the hopping matrix of the species dictate the critical point and the separation of the insulating phases. Applying decoupling approximation to spin-orbit coupled Bose-Einstein condensate in one dimensional optical we find that spin-orbit coupling reduces the phase boundary of Mott insulator-superfluid transition and also modifies the critical point in a way that the critical point reduces as the coupling strength increases. In the second part, we applied the variational Gutzwiller wave function to spin-orbit coupled Bose-Einstein condensate in square and hexagonal lattice. Our results show that the geometry of the optical lattice plays a role in the transition. We find that the mean-field Mott insulator-superfluid phase transition boundary of hexagonal lattice is smaller than that of square lattice for the same system. Finally, we showed that the Gutzwiller variational approach gives us access to the twisted superfluid phase realized in the system. The nonuniformity of the superfluid phase is different for the two lattices.
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Catmull, Benjamin John. "Colour and photochromism in diamonds and fluid phase transitions in confined geometries : positron and positronium annihilation studies." Thesis, University of Bristol, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.411076.

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Lian, Bo. "Unified Physical Property Estimation Relationships, UPPER." Diss., The University of Arizona, 2013. http://hdl.handle.net/10150/311104.

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The knowledge of physicochemical properties of organic compounds becomes increasingly important. In this study, we developed UPPER (Unified Physical Property Estimation Relationships), a comprehensive model for the estimation of 20 physicochemical properties of organic compounds. UPPER is a system of thermodynamically sound relationships that relate the various phase-transition properties to one another, which includes transition heats, transition entropies, transition temperatures, molar volume, vapor pressure, solubilities and partition coefficients in different solvents and etc. UPPER integrates group contributions with the molecular geometric factors that affect transition entropies. All of the predictions are directly based on molecular structure. As a result, the proposed model provides a simple and accurate prediction of the properties studied. UPPER is designed to predict industrially, environmentally and pharmaceutically relevant physicochemical properties of organic compounds. It also can be an aid for the efficient design and synthesis of compounds with optimal physicochemical properties.
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Benzid, Khalif. "Etude de l'effet de l'anisotropie magnétique sur la phase dynamique et sur la phase géométrique des bits quantiques de spins électroniques d'ions de métaux de transition Mn2+, Co2+, Fe3+ isolés et des complexes d'ions Fe3+ dans l'oxyde de zinc monocristallin." Thesis, Strasbourg, 2016. http://www.theses.fr/2016STRAE009/document.

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Nous avons étudié, par RPE impulsionnelle, la cohérence quantique et des spins électroniques des ions de transition Mn2+, Co2+, Fe3+, et des complexes Fe3+/Cs+ et Fe3+/Na+, tous présents dans le ZnO monocristallin. Nous avons trouvé que l’anisotropie magnétique peut altérer la cohérence de la phase dynamique des qubits des spins électroniques. Nous avons mesuré une faible décohérence pour les spins d’ions Mn2+et Fe3+ dans ZnO, qui ont tous deux une faible anisotropie magnétique uniaxiale, tandis que les ions Co2+ isolés avec une très forte anisotropie magnétique uniaxiale, une décohérence rapide a été mis en évidence. Nous avons trouvé que les spins électroniques des complexes de type Fe3+/Cs+, ayant un tenseur d’anisotropie magnétique plus complexe que la simple anisotropie uniaxiale des ions Fe3+ isolés, possèdent presque le même temps de décohérence. Par la méthode des perturbations, nous avons mis en évidence théoriquement un terme supplémentaire à la phase habituelle de Berry, dû à l’anisotropie magnétique et qui existe dans tout système ayant un spin S>1/2
We studied by pulsed EPR (p-EPR), the quantum coherence of electronic spins qubits of isolated transition metal ions of Mn2+, Co2+, Fe3+ and Fe3+/Cs+ as well as Fe3+/Na+ complexes, all found as traces in mono-crystalline ZnO. Indeed, we experimentally demonstrated that the magnetic anisotropy can alter the coherence of the dynamic phase of electronic spins qubits. We found a small decoherence for Mn2+ and Fe3+, spins having a small uniaxial magnetic anisotropy, and on the contrary, we found a very strong decoherence for Co2+ spins having a very strong uniaxial magnetic anisotropy. We found that the electronic spins of the Fe3+/Cs+ complex, having a more complex tensor magnetic anisotropy compared to the simplest uniaxial one of isolated Fe3+ spins in ZnO, have almost the same coherence time. By the perturbation method, we have found theoretically an additional term to the usual geometric Berry phase, due to the magnetic anisotropy which exists in any system having a spin S>1/2
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Books on the topic "Geometric Phase Transition"

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Flat Level Set Regularity of P-laplace Phase Transitions (Memoirs of the American Mathematical Society). American Mathematical Society, 2006.

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Harshad K. D. H. Bhadeshia. Geometry of Crystals, Polycrystals, and Phase Transformations. Taylor & Francis Group, 2017.

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Harshad K. D. H. Bhadeshia. Geometry of Crystals, Polycrystals, and Phase Transformations. Taylor & Francis Group, 2017.

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Harshad K. D. H. Bhadeshia. Geometry of Crystals, Polycrystals, and Phase Transformations. Taylor & Francis Group, 2017.

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Geometry of Crystals, Polycrystals, and Phase Transformations. Taylor & Francis Group, 2017.

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Harshad K. D. H. Bhadeshia. Geometry of Crystals, Polycrystals, and Phase Transformations. Taylor & Francis Group, 2017.

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Iliopoulos, John, and Theodore N. Tomaras. Elementary Particle Physics. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780192844200.001.0001.

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Determining the nature of matter’s smallest constituents, and the interactions among them, is the subject of a branch of fundamental physics called “The Physics of Elementary Particles” – the subject of this book. During the last decades this field has gone through a phase transition. It culminated in the formulation of a new theoretical scheme, known as “The Standard Model”, which brought profound changes in our ways of thinking and understanding nature’s fundamental forces. Its agreement with experiment is impressive, to the extent that we should no longer talk about “The Standard Model” but instead “The Standard Theory”. This new vision is based on geometry; the interactions are required to satisfy a certain geometrical principle. In the physicists’ jargon this principle is called “gauge invariance”; in mathematics it is a concept of differential geometry. It is the purpose of this book to present and explain this modern viewpoint to a readership of well motivated undergraduate students. We propose to guide the reader to the more advanced concepts of gauge symmetry, quantum field theory and the phenomenon of spontaneous symmetry breaking through concrete physical examples. The presentation of the techniques required for particle physics is self-contained, and the mathematics is kept at the absolutely necessary level. The reader is invited to join the glorious parade of the theoretical advances and experimental discoveries of the last decades which established our current view. Our ambition is to make this fascinating subject accessible to undergraduate students and, hopefully, to motivate them to study it further.
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Book chapters on the topic "Geometric Phase Transition"

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Firoozye, Nikan B., and Robert V. Kohn. "Geometric Parameters and the Relaxation of Multiwell Energies." In Microstructure and Phase Transition, 85–109. New York, NY: Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4613-8360-4_6.

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Nachtergaele, Bruno. "A Stochastic Geometric Approach to Quantum Spin Systems." In Probability and Phase Transition, 237–46. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-015-8326-8_14.

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Kotecký, Roman. "Geometric Representation of Lattice Models and Large Volume Asymptotics." In Probability and Phase Transition, 153–76. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-015-8326-8_9.

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Franzina, Giovanni, and Enrico Valdinoci. "Geometric Analysis of Fractional Phase Transition Interfaces." In Geometric Properties for Parabolic and Elliptic PDE's, 117–30. Milano: Springer Milan, 2013. http://dx.doi.org/10.1007/978-88-470-2841-8_8.

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Shida, Norihiro. "Onset Dynamics of Phase Transition in Ar7." In Geometric Structures of Phase Space in Multidimensional Chaos, 129–53. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2005. http://dx.doi.org/10.1002/0471712531.ch13.

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Alikakos, Nicholas D. "On the structure of phase transition maps for three or more coexisting phases." In Geometric Partial Differential Equations proceedings, 1–31. Pisa: Scuola Normale Superiore, 2013. http://dx.doi.org/10.1007/978-88-7642-473-1_1.

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Wiesenfeld, Laurent. "Geometry of Phase-Space Transition States: Many Dimensions, Angular Momentum." In Geometric Structures of Phase Space in Multidimensional Chaos, 217–65. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2005. http://dx.doi.org/10.1002/0471712531.ch4.

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Jaffé, Charles, Shinnosuke Kawai, Jesús Palacián, Patricia Yanguas, and Turgay Uzer. "A New Look at the Transition State: Wigner's Dynamical Perspective Revisited." In Geometric Structures of Phase Space in Multidimensional Chaos, 171–216. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2005. http://dx.doi.org/10.1002/0471712531.ch3.

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Takatsuka, Kazuo. "Temperature, Geometry, and Variational Structure in Microcanonical Ensemble for Structural Isomerization Dynamics of Clusters: A Multichannel Chemical Reaction beyond the Transition-State Concept." In Geometric Structures of Phase Space in Multidimensional Chaos, 25–85. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2005. http://dx.doi.org/10.1002/0471712531.ch11.

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Alhassid, Y. "Transition strength fluctuations and the onset of chaos." In The Physics of Phase Space Nonlinear Dynamics and Chaos Geometric Quantization, and Wigner Function, 117–20. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/3-540-17894-5_332.

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Conference papers on the topic "Geometric Phase Transition"

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Crnkic, Edin, Lijuan He, and Yan Wang. "Loci Surface Guided Crystal Phase Transition Pathway Search." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47750.

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Recently a periodic surface model was developed to assist geometric construction in computer-aided nano-design. This implicit surface model helps create super-porous nano structures parametrically and support crystal packing. In this paper, we propose a new approach for pathway search in phase transition simulation of crystal structures. The approach relies on the interpolation of periodic loci surface models. Respective periodic plane models are reconstructed from the positions of individual atoms at the initial and final states, and surface correspondence are found. With geometric constraints imposed based on physical and chemical properties of crystals, two surface interpolation methods are used to approximate the intermediate atom positions on the transition pathway in the full search of the minimum energy path. This hybrid approach integrates geometry information in configuration space and physics information to allow for efficient transition pathway search. The methods are demonstrated by examples of FeTi and VO2.
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Maguid, Elhanan, Michael Yannai, Arkady Faerman, Igor Yulevich, Vladimir Kleiner, and Erez Hasman. "Disordered Geometric Phase: Photonic Transition from Spin Hall to Random Rashba Effect." In CLEO: QELS_Fundamental Science. Washington, D.C.: OSA, 2018. http://dx.doi.org/10.1364/cleo_qels.2018.fth4j.8.

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Atou, T., M. Kikuchi, K. Fukuoka, and Y. Syona. "Shock-induced phase transition of scandium sesquioxide: Geometric factor governing high pressure transitions on rare earth sesquioxides." In High-pressure science and technology—1993. AIP, 1994. http://dx.doi.org/10.1063/1.46109.

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Qi, Cheng, and Yan Wang. "Metamorphosis of Periodic Surface Models." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-87101.

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A phase transition is a geometric and topological transformation process of materials from one phase to another, each of which has a unique and homogeneous physical property. Providing an initial guess of transition path for further physical simulation studies is highly desirable in materials design. In this paper, we present a metamorphosis scheme for periodic surface (PS) models by interpolation in the PS parameter space. The proposed approach creates multiple potential transition paths for further selection based on three smoothness criteria. The goal is to search for a smooth transformation in phase transition analysis.
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Baryshev, Yu V., and S. A. Oschepkov. "Gravitation theory in multi-messenger astronomy I: comparison of geometrical and field approaches to the physics of gravitational interaction." In SN 1987A, Quark Phase Transition in Compact Objects and Multimessenger Astronomy. Институт ядерных исследования Российской академии наук, 2018. http://dx.doi.org/10.26119/sao.2020.1.52283.

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Ribeiro Pla´cido, Joa˜o Carlos, Guilherme F. Miscow, Paulo E. V. de Miranda, and Theodoro A. Netto. "Drill Pipe Fatigue Analysis: Full Size Apparatus and Coupon Tests." In ASME 2002 21st International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2002. http://dx.doi.org/10.1115/omae2002-28354.

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Drill pipe fatigue damage occurs under cyclic loading conditions due to, for instance, rotation in curved sections of the well. Failures caused by crack nucleation and propagation are one of the highest risks to the structural integrity of these pipes. Usually, failure mechanisms develop in the transition region of the tool joint. Several mechanical and metallurgical factors affect the fatigue life of drill pipes. The former are mainly geometric discontinuities such as transition zones, pits and slip marks. The latter are related to the size and distribution of crystalline grains, phases and second phase particles (inclusions). In this study, the roles played by both factors in the fatigue life of drill pipes are studied through an extensive experimental test program. To this end, a fatigue simulator was designed and built to test full-scale drill pipes under rotating cyclic bending and constant tension loading. Additionally, the fundamental fatigue mechanisms are investigated via laboratory tests in small-scale coupons. These tests were performed in an opto-mechanical fatigue apparatus that was specially designed to perform in-situ real time monitoring surface analysis during the experiments.
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PORTESI, MARIELA, ANGEL L. PLASTINO, and FLAVIA PENNINI. "INFORMATION GEOMETRY AND PHASE TRANSITIONS." In Proceedings of the 13th International Conference. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812772787_0033.

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Goossen, K. W., and R. B. Hammond. "Modeling of Picosecond-Pulse Propagation in Silicon Integrated-Circuits." In Picosecond Electronics and Optoelectronics. Washington, D.C.: Optica Publishing Group, 1985. http://dx.doi.org/10.1364/peo.1985.we14.

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We have made theoretical time-domain analyses of the dispersion and loss of both square-wave and exponential pulses on microstrip transmission line interconnections on silicon integrated-circuit substrates. Geometric dispersion and conductor linewidth, as well as losses from conductor resistance, conductor skin effect, and substrate conductance are considered over the frequency range from 100 MHz to 100 GHz. Results show the enormous significance of the substrate losses, and demonstrate the need for substrate resistivities >10 Ω-cm for high performance circuits. The results also show the effects of geometric dispersion for frequencies above 10 GHz (which increase with decreasing linewidth), the transition from the high-frequency quasi-TEM regime to the "slow-wave" regime, and the unimportance of conductor skin-effect losses for frequencies up to 100 GHz. Qualitatively similar phenomena are seen for Al, W, and WSi2 lines. The differences in resistivity of these materials do not significantly alter their pulse propagation properties. Surprisingly, however, slow-wave velocity is increased for either increasing conductor resistivity, decreasing conductor linewidth, or both. Poly-Si, with its significantly greater loss, shows qualitatively different frequency-dependent behavior. High phase velocity and high loss can coexist in poly-Si lines.
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Kövecses, J., W. L. Cleghorn, and R. G. Fenton. "A Dynamic Performance Evaluation Model for Target Capture by Robot Mechanisms, With the Consideration of Structural Flexibility." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/vib-8245.

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Abstract In this paper a dynamic system consisting of a robot manipulator and a target is analyzed. The target is considered in a general way as a dynamic subsystem having finite mass and moments of inertia (e.g. a rigid body or a second robot). The situation investigated is when the robot establishes interaction with the target in such a way that it intercepts and captures a reference element of the target. The greatest attention is paid to the analysis of the phase of transition from from ‘free’ to constrained motion at the time of interception and capture (impulsive motion). Based on the use of impulsive constraints and the Jourdanian formulation of analytical dynamics, a novel approach is proposed for the modeling of target capture by a robot manipulator. The proposed approach is suitable to handle both finite and impulsive motions in a common analytical framework. Based on the dynamic model developed and using a geometric representation of the system’s dynamics, a detailed analysis and a performance evaluation framework are presented for the phase of transition. Both rigid and structurally flexible models of robots are considered. For the performance evaluation analyses, two main concepts are proposed and corresponding performance measures are derived. These tools may be used in the analysis, design and control of time varying robotic systems. The dynamic system of a three link robot arm capturing a rigid body is used to illustrate the material presented.
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Sibanda, Charmaine, Gurthwin Bosman, and Erich Rohwer. "Diffusivity of single fluorescent probes embedded in thin polymer films." In JSAP-OSA Joint Symposia. Washington, D.C.: Optica Publishing Group, 2017. http://dx.doi.org/10.1364/jsap.2017.6p_a409_2.

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Photophysics and photochemistry in polymer science has been central areas of interest in understanding the structure and dynamics of polymers. The physical properties of polymers especially the dynamical properties close to the phase transition from rubbery to the glassy state are complex and have not been completely understood despite experimental and theoretical studies over the past decades [1]. Understanding the dynamics of polymer nano environments is highly crucial for numerous technological applications in various industrial and biomedical sectors related to protective and functional coatings and biocompatibility of medical implants [2]. The diffusivity of single probes embedded in thin polymer films can exhibit unusual physical properties due to geometric constraints imposed by the presence of surfaces and interfaces and using single molecule fluorescence microscopy as an imaging technique, allows one to look at the microscopic processes on the nanometer scale [3]. For this research single nanoparticles were embedded in thin polystyrene (PS) and poly (isobutyl methacrylate) (PIMA) films, some of these polymeric films were relaxed and the others were non-relaxed in order to study nano scale polymer dynamics that affect the diffusivity of the single nanoparticles. The diffusivity of the single nanoparticles helps to study the molecular dynamics in thin polymeric films and how these molecular dynamics are related to the glass transition of the thin polymer films. The molecular dynamics include the relaxation processes in polymers such as the α-relaxation, which is believed to contribute to the heterogeneity motion of the single nanoparticles as the temperature of the polymer film is increased towards the glass transition temperature.
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Reports on the topic "Geometric Phase Transition"

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Mestre Fons, Bartolomé, and Fabian Maucher. Finite temperature effects on Dipolar Superfluids. Fundación Avanza, May 2023. http://dx.doi.org/10.60096/fundacionavanza/1672022.

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We qualitatively discuss the dependency of the phase-transition between a super- fluid and a supersolid of a dipolar Bose-Einstein condensate confined to a tubular geometry on temperature employing beyond mean-field corrections.
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Amelunxen, Dennis, Martin Lotz, Michael B. McCoy, and Joel A. Tropp. Living on the Edge: A Geometric Theory of Phase Transitions in Convex Optimization. Fort Belvoir, VA: Defense Technical Information Center, March 2013. http://dx.doi.org/10.21236/ada591124.

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Bhatt, Ravindra, Frederick Haldane, Edward Rezayi, and Kun Yang. GEOMETRY, DISORDER AND PHASE TRANSITIONS IN TOPOLOGICAL STATES OF MATTER. Office of Scientific and Technical Information (OSTI), February 2023. http://dx.doi.org/10.2172/1923750.

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Biagio, Massimo Di. PR-182-124505-R04 Developing Tools to Assure Safety Against Crack Propagation. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), March 2018. http://dx.doi.org/10.55274/r0011472.

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Recent industry experience is showing that modern lower grade steels (X60 to X70) are not having the same fracture behavior as older steels of the same grade. As a major consequence, past material qualification test methods may be no longer valid for these new steels and may not provide safe design guidance, both for the evaluation of the brittle to ductile transition temperature and for the prediction of ductile fracture arrest requirements. MAT-8-1 Project Phase 2 was specifically focused on brittle-to-ductile transition temperature assessment and may ultimately lead to reliable testing methods to evaluate the behavior of modern steels, to allow the industry to design safe gas pipelines. Specific small and full-scale experimental activities have been carried out, with the aim to verify the correspondence between the brittle-to-ductile transition temperatures determined using different small-scale sample geometries and comparing the results with four full-scale West Jefferson tests.
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Kirchhoff, Helmut, and Ziv Reich. Protection of the photosynthetic apparatus during desiccation in resurrection plants. United States Department of Agriculture, February 2014. http://dx.doi.org/10.32747/2014.7699861.bard.

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In this project, we studied the photosynthetic apparatus during dehydration and rehydration of the homoiochlorophyllous resurrection plant Craterostigmapumilum (retains most of the photosynthetic components during desiccation). Resurrection plants have the remarkable capability to withstand desiccation, being able to revive after prolonged severe water deficit in a few days upon rehydration. Homoiochlorophyllous resurrection plants are very efficient in protecting the photosynthetic machinery against damage by reactive oxygen production under drought. The main purpose of this BARD project was to unravel these largely unknown protection strategies for C. pumilum. In detail, the specific objectives were: (1) To determine the distribution and local organization of photosynthetic protein complexes and formation of inverted hexagonal phases within the thylakoid membranes at different dehydration/rehydration states. (2) To determine the 3D structure and characterize the geometry, topology, and mechanics of the thylakoid network at the different states. (3) Generation of molecular models for thylakoids at the different states and study the implications for diffusion within the thylakoid lumen. (4) Characterization of inter-system electron transport, quantum efficiencies, photosystem antenna sizes and distribution, NPQ, and photoinhibition at different hydration states. (5) Measuring the partition of photosynthetic reducing equivalents between the Calvin cycle, photorespiration, and the water-water cycle. At the beginning of the project, we decided to use C. pumilum instead of C. wilmsii because the former species was available from our collaborator Dr. Farrant. In addition to the original two dehydration states (40 relative water content=RWC and 5% RWC), we characterized a third state (15-20%) because some interesting changes occurs at this RWC. Furthermore, it was not possible to detect D1 protein levels by Western blot analysis because antibodies against other higher plants failed to detect D1 in C. pumilum. We developed growth conditions that allow reproducible generation of different dehydration and rehydration states for C. pumilum. Furthermore, advanced spectroscopy and microscopy for C. pumilum were established to obtain a detailed picture of structural and functional changes of the photosynthetic apparatus in different hydrated states. Main findings of our study are: 1. Anthocyan accumulation during desiccation alleviates the light pressure within the leaves (Fig. 1). 2. During desiccation, stomatal closure leads to drastic reductions in CO2 fixation and photorespiration. We could not identify alternative electron sinks as a solution to reduce ROS production. 3. On the supramolecular level, semicrystalline protein arrays were identified in thylakoid membranes in the desiccated state (see Fig. 3). On the electron transport level, a specific series of shut downs occur (summarized in Fig. 2). The main events include: Early shutdown of the ATPase activity, cessation of electron transport between cyt. bf complex and PSI (can reduce ROS formation at PSI); at higher dehydration levels uncoupling of LHCII from PSII and cessation of electron flow from PSII accompanied by crystal formation. The later could severe as a swift PSII reservoir during rehydration. The specific order of events in the course of dehydration and rehydration discovered in this project is indicative for regulated structural transitions specifically realized in resurrection plants. This detailed knowledge can serve as an interesting starting point for rationale genetic engineering of drought-tolerant crops.
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