Models And Methods For Quantum Condensation And Fluids

Author : Weizhu Bao,Yongyong Cai,Ionut Danaila,Peter A Markowich
Publisher : World Scientific
Page : 361 pages
File Size : 42,7 Mb
Release : 2023-01-04
Category : Mathematics
ISBN : 9789811266065

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Models And Methods For Quantum Condensation And Fluids by Weizhu Bao,Yongyong Cai,Ionut Danaila,Peter A Markowich Pdf

The Institute for Mathematical Sciences at the National University of Singapore hosted a thematic program on Quantum and Kinetic Problems: Modeling, Analysis, Numerics and Applications from September 2019 to March 2020. As an important part of the program, tutorials and special lectures were given by leading experts in the fields for participating graduate students and junior researchers. This invaluable volume collects six expanded lecture notes with self-contained tutorials. The coverage includes mathematical models and numerical methods for multidimensional solitons in linear and nonlinear potentials; Bose-Einstein condensation (BEC) with dipole-dipole interaction, higher order interaction and spin-orbit coupling; classical and quantum turbulence; and molecular dynamics process based on the first-principle in quantum chemistry.This volume serves to inspire graduate students and researchers who will embark into original research work in these fields.

Author : Weizhu Bao,Jian-Guo Liu
Publisher : World Scientific
Page : 307 pages
File Size : 46,9 Mb
Release : 2007
Category : Science
ISBN : 9789812708502

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Dynamics in Models of Coarsening, Coagulation, Condensation and Quantization by Weizhu Bao,Jian-Guo Liu Pdf

The Institute for Mathematical Sciences at the National University of Singapore hosted a research program on ?Nanoscale Material Interfaces: Experiment, Theory and Simulation'' from November 2004 to January 2005. As part of the program, tutorials for graduate students and junior researchers were given by leading experts in the field.This invaluable volume collects the expanded lecture notes of four of those self-contained tutorials. The topics covered include dynamics in different models of domain coarsening and coagulation and their mathematical analysis in material sciences; a mathematical and computational study for quantized vortices in the celebrated Ginzburg?Landau models of superconductivity and the mean field Gross?Pitaevskii equations of superfluidity; the nonlinear Schr”dinger equation and applications in Bose?Einstein condensation and plasma physics as well as their efficient and accurate computation; and finally, an introduction to constitutive modeling of macromolecular fluids within the framework of the kinetic theory.This volume serves to inspire graduate students and researchers who will embark upon original research work in these fields.

Author : Mauro Fabrizio,Angelo Morro,Barbara Lazzari
Publisher : World Scientific
Page : 396 pages
File Size : 48,7 Mb
Release : 2002
Category : Mathematics
ISBN : 9789812382351

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Mathematical Models and Methods for Smart Materials by Mauro Fabrizio,Angelo Morro,Barbara Lazzari Pdf

This book contains the papers presented at the conference on "Mathematical Models and Methods for Smart Materials, " held in Italy in 2001. The papers are divided into four parts: "Methods in Materials Science" deals mainly with mathematical techniques fo the investigation of physical systems, such as liquid crystals, materials with internal variables, amorphous materials, and thermoelastic materials. Also, techniques are exhibited for the analysis of stability and controllability of classical models of continuum mechanics and of dynamical systems. "Modelling of Smart Materials" is devoted to models of superfluids, superconductors, materials with memory, nonlinear elastic solids, and damaged materials. In the elaboration of the models, thermodynamic aspects play a central role in the characterization of the constitutive properties. "Well-Posedness in Materials with Memory" deals with existence, uniqueness and stability for the solution of problems, most often expressed by integrodifferential equations, which involve materials with fading memory. Also, attention is given to exponential decay in viscoelasticity, inverse problems in heat conduction with memory, and automatic control for parabolic equations. "Analytic Problems in Phase Transitions" discusses nonlinear partial differential equations associated with phase transitions, and hysteresis, possibly involving fading memory effects. Particular applications are developed for the phase-field model with memory, the Stefan problem with a Cattaneo type equation, the hysteresis in thermo-visco plasticity, and the solid-solid phase transition. Contents: Automatic Control Problems for Integrodifferential Parabolic Equations (C Cavaterra);Phase Relaxation Problems with Memory and Their Optimal Control (P Colli); Unified Dynamics of Particles and Photons (G Ferrarese); Solid-Solid Phase Transition in a Mechanical System (G Gilardi); KAM Methods for Nonautonomous

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 52,7 Mb
Release : 2024-06-10
Category : Electronic
ISBN : 9789814474801

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Dynamics in Models of Coarsening, Coagulation, Condensation and Quantization by Anonim Pdf

Author : Mauro Fabrizio
Publisher : World Scientific
Page : 404 pages
File Size : 47,6 Mb
Release : 2002
Category : Mathematics
ISBN : 9812776273

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Mathematical Models and Methods for Smart Material by Mauro Fabrizio Pdf

This book contains the papers presented at the conference on OC Mathematical Models and Methods for Smart MaterialsOCO, held in Italy in 2001. The papers are divided into four parts: OCOMethods in Materials ScienceOCO deals mainly with mathematical techniques for the investigation of physical systems, such as liquid crystals, materials with internal variables, amorphous materials, and thermoelastic materials. Also, techniques are exhibited for the analysis of stability and controllability of classical models of continuum mechanics and of dynamical systems.OCOModelling of Smart MaterialsOCO is devoted to models of superfluids, superconductors, materials with memory, nonlinear elastic solids, and damaged materials. In the elaboration of the models, thermodynamic aspects play a central role in the characterization of the constitutive properties.OCOWell-Posedness in Materials with MemoryOCO deals with existence, uniqueness and stability for the solution of problems, most often expressed by integrodifferential equations, which involve materials with fading memory. Also, attention is given to exponential decay in viscoelasticity, inverse problems in heat conduction with memory, and automatic control for parabolic equations.OCOAnalytic Problems in Phase TransitionsOCO discusses nonlinear partial differential equations associated with phase transitions, and hysteresis, possibly involving fading memory effects. Particular applications are developed for the phase-field model with memory, the Stefan problem with a Cattaneo-type equation, the hysteresis in thermo-visco-plasticity, and the solid-solid phase transition."

Author : Carlo F. Barenghi,Nick G. Parker
Publisher : Springer
Page : 119 pages
File Size : 45,8 Mb
Release : 2016-08-10
Category : Science
ISBN : 9783319424767

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A Primer on Quantum Fluids by Carlo F. Barenghi,Nick G. Parker Pdf

The aim of this primer is to cover the essential theoretical information, quickly and concisely, in order to enable senior undergraduate and beginning graduate students to tackle projects in topical research areas of quantum fluids, for example, solitons, vortices and collective modes. The selection of the material, both regarding the content and level of presentation, draws on the authors analysis of the success of relevant research projects with newcomers to the field, as well as of the students feedback from many taught and self-study courses on the subject matter. Starting with a brief historical overview, this text covers particle statistics, weakly interacting condensates and their dynamics and finally superfluid helium and quantum turbulence. At the end of each chapter (apart from the first) there are some exercises. Detailed solutions can be made available to instructors upon request to the authors.

Author : S. Trickey
Publisher : Springer Science & Business Media
Page : 458 pages
File Size : 47,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781468424188

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Quantum Fluids and Solids by S. Trickey Pdf

The second International Symposium on Quantum Fluids and Solids came to pass during 23-27 Jan. 1977 as the fourth and con cluding part of the seventeenth consecutive running of the Sanibel Symposium Series. With approximately 120 participants from eleven countries (including, for the first time, the USSR), we found it easy to obtain a selection of papers which was fairly comprehen sive. Indeed, our problem was an embarrassment of riches; in spite of our solemn vows not to crowd the schedule, we ended up with an intense program! By far, the majority of the papers pre sented are represented in this volume. We are indebted to many persons and organizations for their contributions to the Symposia. First, we thank Prof. Per-Olov Lowdin, Director of the Quantum Theory Project and originator of the Sanibel Symposia. Without his patient, indulgent cooperation our task would have been vastly more difficult. We are grateful to Prof. F. Eugene Dunnam, Chairman of the Dept. of Physics and Astronomy, for providing Departmental support of our initial or ganlzlng expenses. Approximately one-half of the total cost of the Symposium was borne by a joint grant from the National Science Foundation and the U. S. Air Force Office of Scientific Research. We thank the program officers, Dr. C. Satterthwaite and Dr. D.

Author : Philippe Nozieres,David Pines
Publisher : Westview Press
Page : 574 pages
File Size : 42,7 Mb
Release : 1999-11-19
Category : Science
ISBN : 0738202290

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Theory Of Quantum Liquids by Philippe Nozieres,David Pines Pdf

Originally published as two separate volumes, The Theory of Quantum Liquids is a classic text that attempts to describe the qualitative and unifying aspects of an extremely broad and diversified field. Volume I deals with ‘normal' Fremi liquids, such as 3He and electrons in metals. Volume II consists of a detailed treatment of Bose condensation and liquid 4He, including the development of a Bose liquid theory and a microscopic basis for the two-fluid model, and the description of the elementary excitations of liquid HeII.

Author : Yuri B. Zudin
Publisher : Springer Nature
Page : 573 pages
File Size : 54,6 Mb
Release : 2021-02-27
Category : Technology & Engineering
ISBN : 9783030675530

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Non-equilibrium Evaporation and Condensation Processes by Yuri B. Zudin Pdf

This present book is concerned with analytical approaches to statement and solution of problems of non-equilibrium evaporation and condensation. From analytical solutions, one is capable to understand and represent in a transparent form the principal laws, especially in the study of a new phenomenon or a process. This is why analytical methods are always employed on the first stage of mathematical modeling. Analytical solutions are also used as test models for validation of results numerical solutions. Non-equilibrium evaporation and condensation processes play an important role in a number of fundamental and applied problems: laser methods for processing of materials, depressurization of the protection cover of nuclear propulsion units, solar radiation on a comet surface, explosive boiling of superheated liquid, thermodynamic principles of superfluid helium. Analytical relations provide an adequate description of the essence of a physical phenomenon.

Author : Anthony James Leggett
Publisher : OUP Oxford
Page : 405 pages
File Size : 48,9 Mb
Release : 2006-09-28
Category : Science
ISBN : 9780191037214

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Quantum Liquids by Anthony James Leggett Pdf

Starting from first principles, this book introduces the closely related phenomena of Bose condensation and Cooper pairing, in which a very large number of single particles or pairs of particles are forced to behave in exactly the same way, and explores their consequences in condensed matter systems. Eschewing advanced formal methods, the author uses simple concepts and arguments to account for the various qualitatively new phenomena which occur in Bose-condensed and Cooper-paired systems, including but not limited to the spectacular macroscopic phenomena of superconductivity and superfluidity. The physical systems discussed include liquid 4-He, the BEC alkali gases, "classical" superconductors, superfluid 3-He, "exotic" superconductors and the recently stabilized Fermi alkali gases. The book should be accessible to beginning graduate students in physics or advanced undergraduates.

Author : Sergei S. Sazhin
Publisher : Springer Nature
Page : 603 pages
File Size : 41,9 Mb
Release : 2022-06-28
Category : Technology & Engineering
ISBN : 9783030997465

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Droplets and Sprays: Simple Models of Complex Processes by Sergei S. Sazhin Pdf

This book acts as a guide to simple models that describe some of the complex fluid dynamics, heat/mass transfer and combustion processes in droplets and sprays. Attention is focused mainly on the use of classical hydrodynamics, and a combination of kinetic and hydrodynamic models, to analyse the heating and evaporation of mono- and multi-component droplets. The models were developed for cases when small and large numbers of components are present in droplets. Some of these models are used for the prediction of time to puffing/micro-explosion of composite water/fuel droplets — processes that are widely used in combustion devices to stimulate disintegration of relatively large droplets into smaller ones. The predictions of numerical codes based on these models are validated against experimental results where possible. In most of the models, droplets are assumed to be spherical; some preliminary results of the generalisation of these models to the case of non-spherical droplets, approximating them as spheroids, are presented.

Author : Alberto Bramati,Michele Modugno
Publisher : Springer Science & Business Media
Page : 417 pages
File Size : 52,8 Mb
Release : 2013-07-11
Category : Science
ISBN : 9783642375699

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Physics of Quantum Fluids by Alberto Bramati,Michele Modugno Pdf

The study of quantum fluids, stimulated by the discovery of superfluidity in liquid helium, has experienced renewed interest after the observation of Bose-Einstein condensation (BEC) in ultra-cold atomic gases and the observation a new type of quantum fluid with specific characteristics derived from its intrinsic out-of-equilibrium nature. The main objective of this book is to take a snapshot of the state-of-the-art of this fast moving field with a special emphasis on the hot topics and new trends. Bringing together the most active specialists of the two areas (atomic and polaritonic quantum fluids), we expect that this book will facilitate the exchange and the collaboration between these two communities working on subjects with very strong analogies.

Author : David Pines,Philippe Nozières
Publisher : Addison Wesley Publishing Company
Page : 220 pages
File Size : 46,8 Mb
Release : 1990-01-21
Category : Science
ISBN : UCSD:31822015282312

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The Theory Of Quantum Liquids (volume Ii) by David Pines,Philippe Nozières Pdf

"Originally published as two separate volumes, The Theory of Quantum Liquids is a classic text that attempts to describe the qualitative and unifying aspects of an extremely broad and diversified field"

Author : Xiao-Gang Wen
Publisher : OUP Oxford
Page : 520 pages
File Size : 54,6 Mb
Release : 2004-06-04
Category : Science
ISBN : 9780191523960

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Quantum Field Theory of Many-Body Systems by Xiao-Gang Wen Pdf

For most of the last century, condensed matter physics has been dominated by band theory and Landau's symmetry breaking theory. In the last twenty years, however, there has been the emergence of a new paradigm associated with fractionalisation, topological order, emergent gauge bosons and fermions, and string condensation. These new physical concepts are so fundamental that they may even influence our understanding of the origin of light and fermions in the universe. This book is a pedagogical and systematic introduction to the new concepts and quantum field theoretical methods (which have fuelled the rapid developments) in condensed matter physics. It discusses many basic notions in theoretical physics which underlie physical phenomena in nature. Topics covered are dissipative quantum systems, boson condensation, symmetry breaking and gapless excitations, phase transitions, Fermi liquids, spin density wave states, Fermi and fractional statistics, quantum Hall effects, topological and quantum order, spin liquids, and string condensation. Methods covered are the path integral, Green's functions, mean-field theory, effective theory, renormalization group, bosonization in one- and higher dimensions, non-linear sigma-model, quantum gauge theory, dualities, slave-boson theory, and exactly soluble models beyond one-dimension. This book is aimed at teaching graduate students and bringing them to the frontiers of research in condensed matter physics.

Author : Anonim
Publisher : Unknown
Page : 850 pages
File Size : 41,5 Mb
Release : 1975-02
Category : Nuclear energy
ISBN : PSU:000047759060

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Nuclear Science Abstracts by Anonim Pdf