Field Theoretic Method in Phase Transformations

Author: Alexander Umantsev
Publisher: Springer
ISBN: 1461414873
Format: PDF, Docs
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The main subject of the book is the continuum, field theoretic method of study of phase transformations in material systems. The method, also known as "phase field", allows one to analyze different stages of transformations on the unified platform. It has received significant attention in the materials science community recently due to many successes in solving or illuminating important problems. The book will address fundamentals of the method starting from the classical theories of phase transitions, the most important theoretical and computational results, and some of the most advanced recent applications.

Lecture Notes on Phase Transformations in Nuclear Matter

Author: Jorge Alberto L¢pez
Publisher: World Scientific
ISBN: 9789810240073
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The atomic nucleus, despite of being one of the smallest objects found in nature, appears to be large enough to experience phase transitions. In general, nuclear matter is believed to have liquid and gaseous phases as well as interesting combinations of them. This book reviews what is known theoretically and experimentally about these phases of nuclear matter and the mechanisms inducing transformations between them. Current theoretical models describing nuclear reactions at intermediate energies are presented, and, in particular, phenomenological techniques of analysis used in heavy-ion reaction are described for the benefit of the practitioners in the field.

Quantum Ising Phases and Transitions in Transverse Ising Models

Author: Sei Suzuki
Publisher: Springer
ISBN: 3642330398
Format: PDF, ePub, Mobi
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Quantum phase transitions, driven by quantum fluctuations, exhibit intriguing features offering the possibility of potentially new applications, e.g. in quantum information sciences. Major advances have been made in both theoretical and experimental investigations of the nature and behavior of quantum phases and transitions in cooperatively interacting many-body quantum systems. For modeling purposes, most of the current innovative and successful research in this field has been obtained by either directly or indirectly using the insights provided by quantum (or transverse field) Ising models because of the separability of the cooperative interaction from the tunable transverse field or tunneling term in the relevant Hamiltonian. Also, a number of condensed matter systems can be modeled accurately in this approach, hence granting the possibility to compare advanced models with actual experimental results. This work introduces these quantum Ising models and analyses them both theoretically and numerically in great detail. With its tutorial approach the book addresses above all young researchers who wish to enter the field and are in search of a suitable and self-contained text, yet it will also serve as a valuable reference work for all active researchers in this area.

Numerical Methods for Free Boundary Problems

Author: VEITTAANMÄKI
Publisher: Birkhäuser
ISBN: 3034857152
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About 80 participants from 16 countries attended the Conference on Numerical Methods for Free Boundary Problems, held at the University of Jyviiskylii, Finland, July 23-27, 1990. The main purpose of this conference was to provide up-to-date information on important directions of research in the field of free boundary problems and their numerical solutions. The contributions contained in this volume cover the lectures given in the conference. The invited lectures were given by H.W. Alt, V. Barbu, K-H. Hoffmann, H. Mittelmann and V. Rivkind. In his lecture H.W. Alt considered a mathematical model and existence theory for non-isothermal phase separations in binary systems. The lecture of V. Barbu was on the approximate solvability of the inverse one phase Stefan problem. K-H. Hoff mann gave an up-to-date survey of several directions in free boundary problems and listed several applications, but the material of his lecture is not included in this proceedings. H.D. Mittelmann handled the stability of thermo capillary convection in float-zone crystal growth. V. Rivkind considered numerical methods for solving coupled Navier-Stokes and Stefan equations. Besides of those invited lectures mentioned above there were 37 contributed papers presented. We shall briefly outline the topics of the contributed papers: Stefan like problems. Modelling, existence and uniqueness.

Theoretical Physics at the End of the Twentieth Century

Author: Yvan Saint-Aubin
Publisher: Springer Science & Business Media
ISBN: 1475736711
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Based on courses given at the CRM Banff summer school in 1999, this volume provides a snapshot of topics engaging theoretical physicists at the end of the twentieth century and the beginning of the twenty-first. Young physicists will find in these chapters pedagogical introductions to subjects currently active in theoretical physics, and more seasoned physicists will find a chance to share the excitement of fields outside their immediate research interests.

Spin Orbitronics and Topological Properties of Nanostructures

Author: Dugaev Vitalii K
Publisher: World Scientific
ISBN: 9813234350
Format: PDF, ePub, Mobi
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This volume presents lecture notes of the 12th International School of Theoretical Physics held in 2016 in Rzeszów, Poland. The lectures serve as an introduction for young physicists starting their career in condensed matter theoretical physics. The book provides a comprehensive overview of modern ideas and advances in theories and experiments of new materials, quantum nanostructures as well as new mathematical methods. This lecture note is an essential source of reference for physicists and materials scientists. It is also a suitable reading for graduate students. remove

Models in Statistical Physics and Quantum Field Theory

Author: Harald Grosse
Publisher: Springer Science & Business Media
ISBN: 364283504X
Format: PDF, ePub, Mobi
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In these lectures we summarize certain results on models in statistical physics and quantum field theory and especially emphasize the deep relation ship between these subjects. From a physical point of view, we study phase transitions of realistic systems; from a more mathematical point of view, we describe field theoretical models defined on a euclidean space-time lattice, for which the lattice constant serves as a cutoff. The connection between these two approaches is obtained by identifying partition functions for spin models with discretized functional integrals. After an introduction to critical phenomena, we present methods which prove the existence or nonexistence of phase transitions for the Ising and Heisenberg models in various dimensions. As an example of a solvable system we discuss the two-dimensional Ising model. Topological excitations determine sectors of field theoretical models. In order to illustrate this, we first discuss soliton solutions of completely integrable classical models. Afterwards we dis cuss sectors for the external field problem and for the Schwinger model. Then we put gauge models on a lattice, give a survey of some rigorous results and discuss the phase structure of some lattice gauge models. Since great interest has recently been shown in string models, we give a short introduction to both the classical mechanics of strings and the bosonic and fermionic models. The formulation of the continuum limit for lattice systems leads to a discussion of the renormalization group, which we apply to various models.