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Formation and Interactions of Topological Defects by Anne-Christine Davis,Robert Brandenberger Pdf
Topological defects have recently become of great interest in condensed matter physics, particle physics and cosmology. They are the unavoidable remnants of many symmetry breaking phase transitions. Topological defects can play an important role in describing the properties of many condensed matter systems (e.g. superfluids and superconduc tors); they can catalyze many unusual effects in particle physics models and they may be responsible for seeding the density perturbations in the early Universe which de velop into galaxies and the large-scale structure of the Universe. Topological defects are also of great interest in mathematics as nontrivial solutions of nonlinear differential equations stabilized by topological effects. The purpose of the Advanced Study Institute "Formation and Interactions of Topo logical Defects" was to bring together students and practitioners in condensed matter physics, particle physics and cosmology, to give a detailed exposition of the role of topo logical defects in these fields; to explore similarities and differences in the approaches; and to provide a common basis for discussion and future collaborative research on common problems.
Topological Defects and the Non-Equilibrium Dynamics of Symmetry Breaking Phase Transitions by Yuriy M. Bunkov,Henri Godfrin Pdf
Topological defects formed at symmetry-breaking phase transitions play an important role in many different fields of physics. They appear in many condensed-matter systems at low temperature; examples include vortices in superfluid helium-4, a rich variety of defects in helium-3, quantized mag netic flux tubes in type-II superconductors, and disclination lines and other defects in liquid crystals. In cosmology, unified gauge theories of particle interactions suggest a sequence of phase transitions in the very early uni verse some of which may lead to defect formation. In astrophysics, defects play an important role in the dynamics of neutron stars. In 1997 the European Science Foundation started the scientific network "Topological defects" headed by Tom Kibble. This network has provided us with a unique opportunity of establishing a collaboration between the representatives of these very different branches of modern physics. The NATO-ASI (Advanced Study Institute), held in Les Houches in February 1999 thanks to the support of the Scientific Division of NATO, the European Science Foundation and the CNRS, represents a key event of this ESF network. It brought together participants from widely different fields, with diverse expertise and vocabulary, fostering the exchange of ideas. The lectures given by particle physicists, cosmologists and condensed matter physicists are the result of the fruitful collaborations established since 1997 between groups in several European countries and in the U.S.A.
Topological Defects In Cosmology by Francesco Melchiorri,M Signore Pdf
This book is devoted to one of the most relevant problems of modern cosmology: the formation of structures in the framework of big bang cosmology. The standard theory of gravitational instability has met with great success but has also encountered significant difficulties. In this book the alternative possibility offered by topological defects is explored in detail. A pedagogical introduction to the problem is given and several theoretical aspects of the problem are reviewed. Special emphasis is placed on the observable consequences of the presence of topological defects, and in particular their interaction with cosmic background radiation; other observable effects are also discussed. In addition, laboratory experiments on topological defects are dealt with. This book will, for a long time, serve as one of the best references, on the topic for students and researchers in cosmology.
Particles and Quantum Fields by Hagen Kleinert Pdf
This is an introductory book on elementary particles and their interactions. It starts out with many-body Schrödinger theory and second quantization and leads, via its generalization, to relativistic fields of various spins and to gravity. The text begins with the best known quantum field theory so far, the quantum electrodynamics of photon and electrons (QED). It continues by developing the theory of strong interactions between the elementary constituents of matter (quarks). This is possible due to the property called asymptotic freedom. On the way one has to tackle the problem of removing various infinities by renormalization. The divergent sums of infinitely many diagrams are performed with the renormalization group or by variational perturbation theory (VPT). The latter is an outcome of the Feynman-Kleinert variational approach to path integrals discussed in two earlier books of the author, one representing a comprehensive treatise on path integrals, the other dealing with critial phenomena. Unlike ordinary perturbation theory, VPT produces uniformly convergent series which are valid from weak to strong couplings, where they describe critical phenomena. The present book develops the theory of effective actions which allow to treat quantum phenomena with classical formalism. For example, it derives the observed anomalous power laws of strongly interacting theories from an extremum of the action. Their fluctuations are not based on Gaussian distributions, as in the perturbative treatment of quantum field theories, or in asymptotically-free theories, but on deviations from the average which are much larger and which obey power-like distributions. Exactly solvable models are discussed and their physical properties are compared with those derived from general methods. In the last chapter we discuss the problem of quantizing the classical theory of gravity. Contents: FundamentalsField Formulation of Many-Body Quantum PhysicsInteracting Nonrelativistic ParticlesFree Relativistic Particles and FieldsClassical RadiationRelativistic Particles and Fields in External Electromagnetic PotentialQuantization of Relativistic Free FieldsContinuous Symmetries and Conservation Laws. Noether's TheoremScattering and Decay of ParticlesQuantum Field Theoretic Perturbation TheoryExtracting Finite Results from Perturbation Series. Regularization, RenormalizationQuantum ElectrodynamicsFormal Properties of Perturbation TheoryFunctional-Integral Representation of Quantum Field TheorySystematic Graphical Construction of Feynman DiagramsSpontaneous Symmetry BreakdownScalar Quantum ElectrodynamicsExactly Solvable O(N)-Symmetric ϕ4-Theory for Large NNonlinear σ-ModelThe Renormalization GroupCritical Properties of Nonlinear σ-ModelFunctional-Integral Calculation of Effective Action. Loop ExpansionExactly Solvable O(N)-Symmetric Four-Fermion Theory in 2+ε Dimensions Internal Symmetries of Strong InteractionsSymmetries Linking Internal and Spacetime PropertiesHadronization of Quark TheoriesWeak InteractionsNonabelian Gauge Theory of Strong InteractionsCosmology with General Curvature-Dependent LagrangianEinstein Gravity from Fluctuating Conformal GravityPurely Geometric Part of Dark Matter Readership: Students and researchers in theoretical physics.
Novel Superfluids by Karl-Heinz Bennemann,John B. Ketterson Pdf
This book reports on the latest developments in the field of Superfluidity. The phenomenon has had a tremendous impact on the fundamental sciences as well as a host of technologies. It began with the discovery of superconductivity in mercury in 1911, which was ultimately described theoretically by the theory of Bardeen Cooper and Schriever (BCS) in 1957. The analogous phenomena, superfluidity, was discovered in helium in 1938 and tentatively explained shortly thereafter as arising from a Bose-Einstein Condensation (BEC) by London. But the importance of superfluidity, and the range of systems in which it occurs, has grown enormously. In addition to metals and the helium liquids the phenomena has now been observed for photons in cavities, excitons in semiconductors, magnons in certain materials, and cold gasses trapped in high vacuum. It very likely exist for neutrons in a neutron star and, possibly, in a conjectured quark state at their center. Even the Universe itself can be regarded as being in a kind of superfluid state. All these topics are discussed by experts in the respective subfields.
Liquid Crystals with Nano and Microparticles by Jan P F Lagerwall,Giusy Scalia Pdf
While liquid crystals are today widely known for their successful application in flat panel displays (LCDs), academic liquid crystal research is more and more targeting situations where these anisotropic fluids are put to completely different use, in varying contexts. A particularly strong focus is on colloidal liquid crystals, where particles, bubbles or drops are dispersed in a liquid crystal phase. The liquid crystal can act as a host phase, with the inclusions constituting foreign guests that disturb the local order in interesting ways, often resulting in large-scale positional arrangement and/or uniform alignment of the guests. But it may also be formed by solid particles themselves, if these are of nanoscale dimensions and of disc- or rod-shape, and if they are suspended in an isotropic liquid host at sufficient concentration. This book aims to cover both the modern research tracks, gathering pioneering researchers of the different subfields to give a concise overview of the basis as well as the prospects of their respective specialties. The scope spans from curiosity-driven fundamental scientific research to applied sciences. Over the course of the next decade, the former is likely to generate new tracks of the latter type, considering the exploratory and productive phase of this young research field. Contents:Introduction (G Scalia and J P F Lagerwall)Volume 1:Fundamentals:A Phenomenological Introduction to Liquid Crystals and Colloids (J P F Lagerwall)Nanoparticle Dispersions: A Colloid and Polymer Solution Perspective (P van der Schoot)Nematic Liquid Crystals Doped with Nanoparticles: Phase Behavior and Dielectric Properties (M A Osipov and M V Gorkunov)Methods for Studying Liquid Crystals and Their Inclusions:Conventional and Nonlinear Optical Microscopy of Liquid Crystal Colloids (T Lee and I I Smalyukh)X-Ray Scattering (G Ungar, Z Chen and X Zeng)Raman Spectroscopy (H F Gleeson) Manipulation of Inclusions with Optical Tweezers (M Skarabot)Atomic Force Microscopy on Liquid Crystals (C Bahr and B Schulz)Micron Scale Inclusions in Liquid Crystals:Solid Microparticles in Nematic Liquid Crystals (Igor Muševič) Inclusions in Freely Suspended Smectic Films (R Stannarius and K Harth)Liquid Crystal-Enabled Electrophoresis and Electro-Osmosis (O D Lavrentovich)Volume 2:Nanoparticles in Liquid Crystals:Nanoparticles in Discotic Liquid Crystals (S Kumar)Metallic and Semiconducting Nanoparticles in LCs (A Sharma, M Urbanski, T Moria, H-S Kitzerow and T Hegmann)Inorganic Nanotubes and Nanorods in Liquid Crystals (I Drevenšek-Olenik)Liquid Crystals from Mesogens Containing Gold Nanoparticles (W Lewandowski and E Gorecka)Carbon Nanotubes in Thermotropic Low Molar Mass Liquid Crystals (S Schymura, J Park, I Dierking and G Scalia)Carbon Nanotubes Dispersed in Liquid Crystal Elastomers (Y Yang and Y Ji)Ferromagnetic and Ferroelectric Nanoparticles in Liquid Crystals (Y Reznikov, A Glushchenko and Y Garbovskiy)Nanoparticle Guests in Lyotropic Liquid Crystals (S Dölle, J H Park, S Schymura, Hyeran Jo, G Scalia and J P F Lagerwall)Control of Nanoparticle Self-Assemblies Using Distorted Liquid Crystals (E Lacaze and D Coursault)Nanoparticles and Networks Created Within Liquid Crystals (S-W Kang and S Kundu)Liquid Crystals Formed by Nanoparticle Suspensions:Nematic Phase Formation in Suspensions of Carbon Nanotubes (C Zakri and Ph Poulin)Nematic Phase Formation in Suspensions of Graphene Oxide (N Fresneau and S Campidelli)Electro-Optical Switching of Liquid Crystals of Graphene Oxide (J Song)Liquid Crystalline Phases in Suspensions of Pigments in Non-Polar Solvent (S Klein, R Richardson and A Eremin)Cholesteric Liquid Crystal Formation in Suspensions of Cellulose Nanocrystals (C Honorato-Rios, J Bruckner, C Schütz, S Wagner, Z Tosheva, L Bergström and J P F Lagerwall)Subject Index Readership: This book would be beneficial as a reference work for researchers active in the field as well as for other researchers aiming to enter the field.
Dynamics and Patterns in Complex Fluids by Akira Onuki,Kyozi Kawasaki Pdf
The fourth Nishinomiya-Yukawa Memorial Symposium, devoted to the topic of dynamics and patterns in complex fluids, was held on October 26 and 27, 1989, in Nishinomiya City, Japan, where ten invited speakers gave their lectures. A one-day meeting, comprising short talks and poster sessions, was then held on the same topic on October 28 at the Research Institute for Fundamental Physics, Kyoto University. The present volume contains the 10 invited papers and 38 contributed papers presented at these two meetings. The symposium was sponsored by Nishinomiya City, where Prof. Hideki Yukawa once lived and where he wrote the celebrated paper describing the work that was later honored by a Nobel prize. The topic of the fourth symposium was chosen from one of the most vigorously evolving and highly interdisciplinary fields in condensed matter physics. The field of complex fluids is very diverse and still in its infancy and, as a result, the definition of a complex fluid varies greatly from one researcher to the next. One of the objectives of the symposium was to clarify its definition by explicitly posing a number of potentially rich problems waiting to be explored. Indeed, experimentalists are disclosing a variety of intriguing dynamical phenomena in complex systems such as polymers, liquid crystals, gels, colloids, and surfactant systems. We, the organizers, hope that the symposium will contribute to the increasing importance of the field in the coming years.
This book provides a pedagogical introduction to the rapidly growing field of reheating after inflation. It begins with a brief review of the inflationary paradigm and a motivation for why the reheating of the universe is an integral part of inflationary cosmology. It then goes on to survey different aspects of reheating in a chronological manner, starting from the young, empty and cold universe at the end of inflation, and going all the way to the hot and thermal universe at the beginning of the Big Bang nucleosynthesis epoch. Different particle production mechanisms are considered with a focus on the non-perturbative excitation of scalar fields at the beginning of reheating (fermionic and vector fields are also discussed). This is followed by a review of the subsequent non-linear dynamical processes, such as soliton formation and relativistic turbulence. Various thermalization processes are also discussed. High energy physics embeddings of phenomenological models as well as observational implications of reheating such as gravitational waves generation and imprints on the cosmic microwave background are also covered.
This book brings together the many concepts and discoveries in liquid crystal colloids contributed over the last twenty years and scattered across numerous articles and book chapters. It provides both a historical overview of the development of the field and a clear perspective on the future applications in photonics. The book covers all phenomena observed in liquid crystal colloids with an emphasis on experimental tools and applications of topology in condensed matter, as well as practical micro-photonics applications. It includes a number of spectacular manifestations of new topological phenomena not found or difficult to observe in other systems. Starting from the early works on nematic colloids, it explains the basics of topological defects in ordered media, charge and winding, and the elastic forces between colloidal particles in nematics. Following a detailed description of experimental methods, such as optical tweezing and particle tracking, the book eases the reader into the theoretical part, which deals with elastic deformation of nematic liquid crystals due to inclusions and surface alignment. This is discussed in the context of basic mean field Landau-de Gennes Q-tensor theory, with a brief explanation of the free-energy minimization numerical methods. There then follows an excursion into the topology of complex nematic colloidal structures, colloidal entanglement, knotting and linking. Nematic droplets, shells, handlebodies and chiral topological structures are addressed in separate chapters. The book concludes with an extensive chapter on the photonic properties of nematic dispersions, presenting the concept of integrated soft matter photonics and discussing the concepts of nematic and chiral nematic microlasers, surface-sensitive photonic devices and smectic microfibers. The text is complemented by a large bibliography, explanatory sketches and beautiful micrographs.
Astroparticle Physics by Husain Athar,Guey-Lin Lin,Kin-Wang Ng Pdf
This volume contains detailed articles by theorists and experimentalists in the newly developing field of astroparticle physics. A large variety of topics are covered. These include the role of neutrinos in astroparticle physics, big bang nucleosynthesis, string theory and cosmology. Contents: The Highest Energy Cosmic Rays, Gamma-Rays and Neutrinos: Facts, Fancy and Resolution (F Halzen)Big Bang Nucleosynthesis, Implications of Recent CMB Data and Supersymmetric Dark Matter (K Olive)Research Program of the TEXENO Collaboration: Status and Highlights (H T-K Wong & J Li)New Results from AMS Cosmic Ray Measurements (M A Huang)Measurement of Attenuation Length in Rock Salt and Limestone in Radio Wave for Ultra-High Energy Neutrino Detector (M Chiba et al.)Expected Performance of a Neutrino Telescope for Seeing AGN/GC Behind a Mountain (G W S Hou & M A Huang)Galactic High-Energy Cosmic-Ray Tau Neutrino Flux (K Cheung et al.)On Non Hadronic Origin of High Energy Neutrinos (H Athar & G-L Lin)Questions in Cosmology and Particle Astrophysics (W-Y P Hwang)Noncommutative Early Universe (P-M Ho)Cosmological Constant, Quintessence and Mini-Universes (X-G He)Stability of the Anisotropic Brane Cosmology (W F Kao)Dark Energy, Primordial Magnetic Fields, and Time-Varying Fine-Structure Constant (K-W Ng) Readership: Graduate students and researchers in astrophysics and high energy physics. Keywords: