Geometric Methods In Elastic Theory Of Membranes In Liquid Crystal Phases Second Edition

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Geometric Methods In Elastic Theory Of Membranes In Liquid Crystal Phases (Second Edition)

Zhanchun Tu,Jixing Liu,Yuzhang Xie,Zhong-can Ou-yang
Geometric Methods In Elastic Theory Of Membranes In Liquid Crystal Phases Second Edition Book PDF

Author : Zhanchun Tu,Jixing Liu,Yuzhang Xie,Zhong-can Ou-yang
Publisher : World Scientific
Page : 288 pages
File Size : 44,8 Mb
Release : 2017-11-29
Category : Science
ISBN : 9789813227743

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Geometric Methods In Elastic Theory Of Membranes In Liquid Crystal Phases (Second Edition) by Zhanchun Tu,Jixing Liu,Yuzhang Xie,Zhong-can Ou-yang Pdf

'The book is highly recommended as a reference for advanced graduate students and scholars involved in geometric analysis of membranes and other elastic surfaces. Valuable techniques may be learned from the book’s model constructions and sequential derivations and presentations of governing equations. Detailed analysis and solutions enable the reader with an increased understanding of the physical characteristics of membranes in liquid crystal phases such as their preferred shapes.'Contemporary PhysicsThis is the second edition of the book Geometric Methods in Elastic Theory of Membranes in Liquid Crystal Phases published by World Scientific in 1999. This book gives a comprehensive treatment of the conditions of mechanical equilibrium and the deformation of membranes as a surface problem in differential geometry. It is aimed at readers engaging in the field of investigation of the shape formation of membranes in liquid crystalline state with differential geometry. The material chosen in this book is mainly limited to analytical results. The main changes in this second edition are: we add a chapter (Chapter 4) to explain how to calculate variational problems on a surface with a free edge by using a new mathematical tool — moving frame method and exterior differential forms — and how to derive the shape equation and boundary conditions for open lipid membranes through this new method. In addition, we include the recent concise work on chiral lipid membranes as a section in Chapter 5, and in Chapter 6 we mention some topics that we have not fully investigated but are also important to geometric theory of membrane elasticity.

Geometric Methods in Elastic Theory of Membranes in Liquid Crystal Phases

Zhanchun Tu,Zhong-Can Ou-Yang,Ji-Xing Liu,Yu-Zhang Xie
Geometric Methods in Elastic Theory of Membranes in Liquid Crystal Phases Book PDF

Author : Zhanchun Tu,Zhong-Can Ou-Yang,Ji-Xing Liu,Yu-Zhang Xie
Publisher : World Scientific Publishing Company
Page : 290 pages
File Size : 46,5 Mb
Release : 2017
Category : Science
ISBN : 9813227729

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Geometric Methods in Elastic Theory of Membranes in Liquid Crystal Phases by Zhanchun Tu,Zhong-Can Ou-Yang,Ji-Xing Liu,Yu-Zhang Xie Pdf

This is the second edition of the book Geometric Methods in Elastic Theory of Membranes in Liquid Crystal Phases published by World Scientific in 1999. This book gives a comprehensive treatment of the conditions of mechanical equilibrium and the deformation of membranes as a surface problem in differential geometry. It is aimed at readers engaging in the field of investigation of the shape formation of membranes in liquid crystalline state with differential geometry. The material chosen in this book is mainly limited to analytical results. The main changes in this second edition are: we add a chapter (Chapter 4) to explain how to calculate variational problems on a surface with a free edge by using a new mathematical tool -- moving frame method and exterior differential forms -- and how to derive the shape equation and boundary conditions for open lipid membranes through this new method. In addition, we include the recent concise work on chiral lipid membranes as a section in Chapter 5, and in Chapter 6 we mention some topics that we have not fully investigated but are also important to geometric theory of membrane elasticity.

Looking Beyond The Frontiers Of Science: Dedicated To The 80th Birthday Of Kk Phua

Lars Brink,Ngee-pong Chang,Kazuo Fujikawa,Da-hsuan Feng,Mo-lin Ge,Leong-chuan Kwek,Spenta R Wadia
Looking Beyond The Frontiers Of Science Dedicated To The 80th Birthday Of Kk Phua Book PDF

Author : Lars Brink,Ngee-pong Chang,Kazuo Fujikawa,Da-hsuan Feng,Mo-lin Ge,Leong-chuan Kwek,Spenta R Wadia
Publisher : World Scientific
Page : 341 pages
File Size : 46,5 Mb
Release : 2022-07-25
Category : Science
ISBN : 9789811263705

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Looking Beyond The Frontiers Of Science: Dedicated To The 80th Birthday Of Kk Phua by Lars Brink,Ngee-pong Chang,Kazuo Fujikawa,Da-hsuan Feng,Mo-lin Ge,Leong-chuan Kwek,Spenta R Wadia Pdf

Professor Kok Khoo Phua is the Founding Director and Emeritus Professor of the Institute of Advanced Studies (IAS) at Nanyang Technological University (NTU) and Adjunct Professor of Department of Physics both at Nanyang Technological University (NTU) and National University of Singapore (NUS). He is the Chairman and Editor-in-Chief of World Scientific Publishing Co Pte Ltd.When he was elected a Fellow of the American Physical Society (APS) in 2009, the citation read: 'For tireless efforts to strengthen scientific research throughout Asia and promote international physics education and scholarly exchanges, and for enriching science and education through the World Scientific Publishing Company he founded.'This unique volume on the occasion of his 80th birthday is a compilation of tributes from his friends who have known him for decades along with scientific articles that celebrate his visionary approach to promote science worldwide.

Applied Symbolic Dynamics And Chaos (Second Edition)

Hao Bailin,Zheng Wei-mou
Applied Symbolic Dynamics And Chaos Second Edition Book PDF

Author : Hao Bailin,Zheng Wei-mou
Publisher : World Scientific
Page : 520 pages
File Size : 46,9 Mb
Release : 2018-05-11
Category : Science
ISBN : 9789813236448

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Applied Symbolic Dynamics And Chaos (Second Edition) by Hao Bailin,Zheng Wei-mou Pdf

Symbolic dynamics is a coarse-grained description of dynamics. It has been a long-studied chapter of the mathematical theory of dynamical systems, but its abstract formulation has kept many practitioners of physical sciences and engineering from appreciating its simplicity, beauty, and power. At the same time, symbolic dynamics provides almost the only rigorous way to understand global systematics of periodic and, especially, chaotic motion in dynamical systems. In a sense, everyone who enters the field of chaotic dynamics should begin with the study of symbolic dynamics. However, this has not been an easy task for non-mathematicians. On one hand, the method of symbolic dynamics has been developed to such an extent that it may well become a practical tool in studying chaotic dynamics, both on computers and in laboratories. On the other hand, most of the existing literature on symbolic dynamics is mathematics-oriented. This book is an attempt at partially filling up this apparent gap by emphasizing the applied aspects of symbolic dynamics without mathematical rigor. Contents: Preface to the Second Edition Preface to the First Edition Introduction Symbolic Dynamics of Unimodal Maps Maps with Multiple Critical Points Symbolic Dynamics of Circle Maps Symbolic Dynamics of Two-Dimensional Maps Application to Ordinary Differential Equations Counting the Number of Periodic Orbits Symbolic Dynamics and Grammatical Complexity Symbolic Dynamics and Knot Theory Appendix References Index Readership: Researchers and students interested in chaotic dynamics. Keywords: Symbolic Dynamics;ChaosReview: Key Features: No previous knowledge of dynamical systems theory is required in order to read this book The revisions concern mainly the application to ordinary differential equations via constructing two-dimensional symbolic dynamics of the corresponding Poincare maps

Endless Quests: Theory, Experiments And Applications Of Frontiers Of Superconductivity

Jiangdi Fan
Endless Quests Theory Experiments And Applications Of Frontiers Of Superconductivity Book PDF

Author : Jiangdi Fan
Publisher : World Scientific
Page : 325 pages
File Size : 41,8 Mb
Release : 2019-01-15
Category : Science
ISBN : 9789813270800

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Endless Quests: Theory, Experiments And Applications Of Frontiers Of Superconductivity by Jiangdi Fan Pdf

The book is devoted to advancing and developing the frontiers of superconductivity; in particular, the theory of the Diagrammatic Iteration Approach (DIA), described in Chapter 1, is unique in the community of superconductivity.The application of DIA to electron correlation effects has allowed the tough issue of strongly-coupled electron systems to be solved, which is important for high-temperature superconductivity (HTS). DIA, when applied to a layered two-dimensional system, gives rise to marvelous outcomes that can explain all the anomalies in the normal state of HTS, and leads to a transition temperature that is dependent on quantities including the dielectric constant, electron band mass and spacing between layers. This then serves as a quantifiable guide on how to make ideal superconductors. Moreover, in such a scenario, the mechanisms of low- and high-temperature superconductivity can be unified on the basis of repulsive Coulomb interactions between electrons.The book contains rich first-hand information on experiments at the frontiers of superconductivity, as well as on relevant applications of such cutting-edge developments. For instance, Jiasu Wang, co-author of the chapter discussing the HTS Maglev train, is the person who completed the world's first HTS Maglev train. Thus, the draw of this book lies not only in its ability to marry theory, experiment and application, but also in its inclusion of research from prestigious experts of the field.

Electron-phonon Interaction And Lattice Dynamics In High Tc Superconductors

Han Zhang
Electron phonon Interaction And Lattice Dynamics In High Tc Superconductors Book PDF

Author : Han Zhang
Publisher : World Scientific
Page : 358 pages
File Size : 42,7 Mb
Release : 2020-02-13
Category : Science
ISBN : 9789813271159

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Electron-phonon Interaction And Lattice Dynamics In High Tc Superconductors by Han Zhang Pdf

Understanding the mechanism of the high-temperature superconductors has been a very important topic in condensed matter physics. Researchers have been trying to explain the role of electron-phonon interaction (EPI) in cuprates. Some important properties of the cuprates could not be explained by conventional BCS theory. This book contains the experimental and theoretical studies on the EPI. The experimental part covers the results of angle-resolved photoemission spectroscopy (ARPES), isotopic effect, elastic neutron scattering study of electron-phonon, lattice role and so on. The theoretical part covers the electron-phonon, polaron and bipolaron, effect of lattice, fine structure in the tunnelling spectra of electron-doped cuprates, identification of the bulk pairing symmetry in high-temperature superconductors.Students and researchers interested in high-temperature superconductors, especially the EPI in cuprates will find this title very useful.

Advances In Theoretical And Experimental Research Of High Temperature Cuprate Superconductivity

Rushan Han
Advances In Theoretical And Experimental Research Of High Temperature Cuprate Superconductivity Book PDF

Author : Rushan Han
Publisher : World Scientific
Page : 512 pages
File Size : 46,9 Mb
Release : 2020-05-22
Category : Science
ISBN : 9789813271180

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Advances In Theoretical And Experimental Research Of High Temperature Cuprate Superconductivity by Rushan Han Pdf

This book is indexed in Chemical Abstracts ServiceResearchers working at the frontier of high-Tc Superconductors have reviewed the development in this area in the past 20 years. Both experimental and theoretical aspects have been covered. New directions and possible theoretical models were suggested. The contributors of this book are from China Center of Advanced Science and Technology (CCAST); Institute of Physics Chinese Academy of Sciences (CAS); National Lab for Superconductivity, Institute of Physics, CAS; School of Physics, Peking University and Center of Advanced Study Tsinghua University.This volume will be a useful guide to those who are working in the field.

Physics On Ultracold Quantum Gases

Yongjian Han,Yi Wei,Wei Zhang
Physics On Ultracold Quantum Gases Book PDF

Author : Yongjian Han,Yi Wei,Wei Zhang
Publisher : World Scientific
Page : 287 pages
File Size : 47,6 Mb
Release : 2018-11-16
Category : Science
ISBN : 9789813270770

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Physics On Ultracold Quantum Gases by Yongjian Han,Yi Wei,Wei Zhang Pdf

This book derives from the content of graduate courses on cold atomic gases, taught at the Renmin University of China and at the University of Science and Technology of China. It provides a brief review on the history and current research frontiers in the field of ultracold atomic gases, as well as basic theoretical description of few- and many-body physics in the system. Starting from the basics such as atomic structure, atom-light interaction, laser cooling and trapping, the book then moves on to focus on the treatment of ultracold Fermi gases, before turning to topics in quantum simulation using cold atoms in optical lattices.The book would be ideal not only for professionals and researchers, but also for familiarizing junior graduate students with the subject and aiding them in their preparation for future study and research in the field.

Quasi-One-Dimensional Organic Superconductors

Zhang Wei,De Melo Carlos A R Sa
Quasi One Dimensional Organic Superconductors Book PDF

Author : Zhang Wei,De Melo Carlos A R Sa
Publisher : World Scientific
Page : 300 pages
File Size : 50,9 Mb
Release : 2018-06-22
Category : Science
ISBN : 9789813272965

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Quasi-One-Dimensional Organic Superconductors by Zhang Wei,De Melo Carlos A R Sa Pdf

The book includes a thorough description of a wide range of physical properties of organic superconductors of reduced dimensionality. The authors start with an overview of the field followed by a background discussion and selected experimental topics. A critical discussion of theoretical proposals is presented under the constraints of experimental observations and exciting possibilities for the symmetry of the order parameter are presented, including the cases of inhomogeneous superconducting states and triplet superconductivity. The possible origins of Cooper pairing are explored and tests to detect experimentally the pairing symmetry are described in detail. The book ends with a discussion of important open questions, where the search for their answers will keep the field alive for the next decade.

Superconductivity Centennial

Han Rushan
Superconductivity Centennial Book PDF

Author : Han Rushan
Publisher : World Scientific
Page : 296 pages
File Size : 49,5 Mb
Release : 2018-10-05
Category : Science
ISBN : 9789813273153

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Superconductivity Centennial by Han Rushan Pdf

This book covers the important contributions of the Chinese during the development of high-temperature superconductors (HTS). The study of Y-based HTS, which was the first to be reported internationally at a liquid nitrogen temperature above 90 K, has retained the world record for superconducting transition temperatures. The book covers the study of superconducting energy gap, microscopic electron non-uniformity, ARPES research, 'kinks' research, eHigh-Tᶜ. In order to provide a comprehensive introduction to the physical properties of condensed matter, this book also includes studies on the thermodynamic properties of high-temperature superconductors, low-temperature heat transport, and Raman spectroscopy. In addition, this book includes important topics in theoretical studies, including the study of the magnetic and superconductivity of iron-based materials, the non-diagonal long procedure in condensed quantum phases, and the creation of oxygen sites in the CuO₂ plane. Rotational fluctuations lead to the study of superconducting states. This book is suitable for researchers and graduate students in condensed matter physics, materials science, optics and other fields.

Computer Simulations Of Molecules And Condensed Matter: From Electronic Structures To Molecular Dynamics

Wang Enge,Li Xin-zheng
Computer Simulations Of Molecules And Condensed Matter From Electronic Structures To Molecular Dynamics Book PDF

Author : Wang Enge,Li Xin-zheng
Publisher : World Scientific
Page : 280 pages
File Size : 46,5 Mb
Release : 2018-01-17
Category : Science
ISBN : 9789813230460

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Computer Simulations Of Molecules And Condensed Matter: From Electronic Structures To Molecular Dynamics by Wang Enge,Li Xin-zheng Pdf

This book provides a relatively complete introduction to the methods used in computational condensed matter. A wide range of electronic structure theories are introduced, including traditional quantum chemistry methods, density functional theory, many-body perturbation theory, and more. Molecular dynamics simulations are also discussed, with extensions to enhanced sampling and free-energy calculation techniques including umbrella sampling, meta-dynamics, integrated tempering sampling, etc. As a further extension beyond the standard Born-Oppenheimer molecular dynamics, some simulation techniques for the description of quantum nuclear effects are also covered, based on Feynman's path-integral representation of quantum mechanics. The book aims to help beginning graduate students to set up a framework of the concepts they should know before tackling the physical/chemical problems they will face in their research. Contents: Introduction to Computer Simulations of Molecules and Condensed MatterQuantum Chemistry Methods and Density-Functional TheoryPseudopotentials, Full Potential, and Basis SetsMany-Body Green's Function Theory and the GW ApproximationMolecular DynamicsExtension of Molecular Dynamics, Enhanced Sampling and the Free-Energy CalculationsQuantum Nuclear EffectsAppendices: Useful Mathematical RelationsExpansion of a Non-Local FunctionThe Brillouin-Zone IntegrationThe Frequency IntegrationReferencesAcknowledgements Readership: Researchers in computational condensed matter physics. Keywords: Electronic Structures;First-Principle;Molecular Dynamics;Path-IntegralReview: Key Features: Elaboration on a framework of concepts based on the authors' research experiencesIllustrations of methods ranging from electronic structures to molecular dynamicsDetailed explanation of the path-integral method

Symmetry in Physics

Robert T. Sharp,Pavel Winternitz
Symmetry in Physics Book PDF

Author : Robert T. Sharp,Pavel Winternitz
Publisher : American Mathematical Soc.
Page : 260 pages
File Size : 44,6 Mb
Release : 2004-01-01
Category : Science
ISBN : 0821870297

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Symmetry in Physics by Robert T. Sharp,Pavel Winternitz Pdf

Papers in this volume are based on the Workshop on Symmetries in Physics held at the Centre de recherches mathematiques (University of Montreal) in memory of Robert T. Sharp. Contributed articles are on a variety of topics revolving around the theme of symmetry in physics. The preface presents a biographical and scientific retrospect of the life and work of Robert Sharp. Other articles in the volume represent his diverse range of interests, including representation theoretic methods for Lie algebras, quantization techniques and foundational considerations, modular group invariants and applications to conformal models, various physical models and equations, geometric calculations with symmetries, and pedagogical methods for developing spatio-temporal intuition. The book is suitable for graduate students and researchers interested in group theoretic methods, symmetries, and mathematical physics.

Statistical Mechanics of Membranes and Surfaces

D Nelson,T Piran,S Weinberg
Statistical Mechanics of Membranes and Surfaces Book PDF

Author : D Nelson,T Piran,S Weinberg
Publisher : World Scientific
Page : 444 pages
File Size : 40,5 Mb
Release : 2004-06-14
Category : Science
ISBN : 9789814483223

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Statistical Mechanics of Membranes and Surfaces by D Nelson,T Piran,S Weinberg Pdf

' This invaluable book explores the delicate interplay between geometry and statistical mechanics in materials such as microemulsions, wetting and growth interfaces, bulk lyotropic liquid crystals, chalcogenide glasses and sheet polymers, using tools from the fields of polymer physics, differential geometry, field theory and critical phenomena. Several chapters have been updated relative to the classic 1989 edition. Moreover, there are now three entirely new chapters — on effects of anisotropy and heterogeneity, on fixed connectivity membranes and on triangulated surface models of fluctuating membranes. Contents: The Statistical Mechanics of Membranes and Interfaces (D R Nelson)Interfaces: Fluctuations, Interactions and Related Transitions (M E Fisher)Equilibrium Statistical Mechanics of Fluctuating Films and Membranes (S Leibler)The Physics of Microemulsions and Amphiphilic Monolayers (D Andelman)Properties of Tethered Surfaces (Y Kantor)Theory of the Crumpling Transition (D R Nelson)Geometry and Field Theory of Random Surfaces and Membranes (F David)Statistical Mechanics of Self-Avoiding Crumpled Manifolds (B Duplantier)Anisotropic and Heterogeneous Polymerized Membranes (L Radzihovsky)Fixed-Connectivity Membranes (M J Bowick)Triangulated-Surface Models of Fluctuating Membranes (G Gompper & D M Kroll) Readership: Condensed matter physicists, biophysicists, polymer scientists and statistical mechanicians. Keywords:Reviews:“The additional chapters added for the second edition highlight some of the new results (consequences of anisotropy), and place the older contributions in better perspective (renormalizability, connections to triangulated surfaces). The revised edition will serve as an even better introduction to this interesting topic at the intersection of geometry, field theory, and polymer physics.”Mehran Kardar Professor of Physics MIT “This is the book I used to get introduced into the field of the statistical mechanics of membranes and surfaces. I still use it and recommend it to my students and to anyone who is interested in this very exciting field. The different chapters describe detailed and clear mathematical developments, experimental presentations and high quality numerical work presented with superb clarity. This book, with its newest updated second edition, will remain as a reference textbook for many years to come.”Alex Travesset Iowa State University and Ames Laboratory “The first edition set the field of geometry and statistical mechanics in motion. This update, with added material, will be as important to researchers in this now burgeoning field as the original edition. The collection strikes an excellent balance between pedagogical review and current results and developments. This book should be on every theorist's shelf.”Professor Randall D Kamien University of Pennsylvania '

Willmore Energy and Willmore Conjecture

Magdalena D. Toda
Willmore Energy and Willmore Conjecture Book PDF

Author : Magdalena D. Toda
Publisher : CRC Press
Page : 157 pages
File Size : 55,6 Mb
Release : 2017-10-30
Category : Mathematics
ISBN : 9781498744645

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Willmore Energy and Willmore Conjecture by Magdalena D. Toda Pdf

This book is the first monograph dedicated entirely to Willmore energy and Willmore surfaces as contemporary topics in differential geometry. While it focuses on Willmore energy and related conjectures, it also sits at the intersection between integrable systems, harmonic maps, Lie groups, calculus of variations, geometric analysis and applied differential geometry. Rather than reproducing published results, it presents new directions, developments and open problems. It addresses questions like: What is new in Willmore theory? Are there any new Willmore conjectures and open problems? What are the contemporary applications of Willmore surfaces? As well as mathematicians and physicists, this book is a useful tool for postdoctoral researchers and advanced graduate students working in this area.

Mathematical Analysis, Probability and Applications – Plenary Lectures

Tao Qian,Luigi G. Rodino
Mathematical Analysis Probability and Applications Plenary Lectures Book PDF

Author : Tao Qian,Luigi G. Rodino
Publisher : Springer
Page : 336 pages
File Size : 42,6 Mb
Release : 2016-08-25
Category : Mathematics
ISBN : 9783319419459

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Mathematical Analysis, Probability and Applications – Plenary Lectures by Tao Qian,Luigi G. Rodino Pdf

This book collects lectures given by the plenary speakers at the 10th International ISAAC Congress, held in Macau, China in 2015. The contributions, authored by eminent specialists, present some of the most exciting recent developments in mathematical analysis, probability theory, and related applications. Topics include: partial differential equations in mathematical physics, Fourier analysis, probability and Brownian motion, numerical analysis, and reproducing kernels. The volume also presents a lecture on the visual exploration of complex functions using the domain coloring technique. Thanks to the accessible style used, readers only need a basic command of calculus.