Download or read book Spatio temporal Chaos Vacuum Fluctuations Of Quantized Fields written by Christian Beck and published by World Scientific. This book was released on 2002-04-29 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes new applications for spatio-temporal chaotic dynamical systems in elementary particle physics and quantum field theories. The stochastic quantization approach of Parisi and Wu is extended to more general deterministic chaotic processes as generated by coupled map lattices. In particular, so-called chaotic strings are introduced as a suitable small-scale dynamics of vacuum fluctuations. This more general approach to second quantization reduces to the ordinary stochastic quantization scheme on large scales, but it also opens up interesting new perspectives: chaotic strings appear to minimize their vacuum energy for the observed numerical values of the free standard model parameters.
Download or read book Spatio temporal Chaos and Vacuum Fluctuations of Quantized Fields written by Christian Beck and published by World Scientific. This book was released on 2002 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book deals with new applications for coupled map lattices in quantum field theories and elementary particle physics"--P. xiii.
Download or read book The Quantum Vacuum written by Luciano Boi and published by JHU Press. This book was released on 2011-10-28 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: A vacuum, classically understood, contains nothing. The quantum vacuum, on the other hand, is a seething cauldron of nothingness: particle pairs going in and out of existence continuously and rapidly while exerting influence over an enormous range of scales. Acclaimed mathematical physicist and natural philosopher Luciano Boi expounds the quantum vacuum, exploring the meaning of nothingness and its relationship with physical reality. Boi first provides a deep analysis of the interaction between geometry and physics at the quantum level. He next describes the relationship between the microscopic and macroscopic structures of the world. In so doing, Boi sheds light on the very nature of the universe, stressing in an original and profound way the relationship between quantum geometry and the internal symmetries underlying the behavior of matter and the interactions of forces. Beyond the physics and mathematics of the quantum vacuum, Boi offers a profoundly philosophical interpretation of the concept. Plato and Aristotle did not believe a vacuum was possible. How could nothing be something, they asked? Boi traces the evolution of the quantum vacuum from an abstract concept in ancient Greece to its fundamental role in quantum field theory and string theory in modern times. The quantum vacuum is a complex entity, one essential to understanding some of the most intriguing issues in twentieth-century physics, including cosmic singularity, dark matter and energy, and the existence of the Higgs boson particle. Boi explains with simple clarity the relevant theories and fundamental concepts of the quantum vacuum. Theoretical, mathematical, and particle physicists, as well as researchers and students of the history and philosophy of physics, will find The Quantum Vacuum to be a stimulating and engaging primer on the topic.
Download or read book The Two Cultures Shared Problems written by Ernesto Carafoli and published by Springer Science & Business Media. This book was released on 2010-06-28 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the book is to encourage an in-depth discussion of problems of fundamental importance that are common to the two cultures, but that are traditionally seen from different perspectives. The forum will bring together scientists, philosophers, humanists, musicians with the aim of fostering comprehension of problems that have traditionally troubled humankind, and establish more fertile grounds for the communication between the two cultures. The themes of the contributions are the followings: the concept of time, infinity, the concept and meaning of nothingness, numbers, intelligence and the human mind, basic mechanisms in the production of thought and of artistic creation, the relationship between artistic and scientific creativity.
Download or read book Time Reversibility Computer Simulation Algorithms Chaos written by William Graham Hoover and published by World Scientific. This book was released on 2012 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book begins with a discussion, contrasting the idealized reversibility of basic physics against the pragmatic irreversibility of real life. Computer models, and simulation, are next discussed and illustrated. Simulations provide the means to assimilate concepts through worked-out examples. State-of-the-art analyses, from the point of view of dynamical systems, are applied to many-body examples from nonequilibrium molecular dynamics and to chaotic irreversible flows from finite-difference, finite-element, and particle-based continuum simulations. Two necessary concepts from dynamical-systems theory - fractals and Lyapunov instability - are fundamental to the approach. Undergraduate-level physics, calculus, and ordinary differential equations are sufficient background for a full appreciation of this book, which is intended for advanced undergraduates, graduates, and research workers.
Download or read book Time Reversability Computer Simulation Algorithms Chaos written by William Graham Hoover and published by World Scientific. This book was released on 2012 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book begins with a discussion, contrasting the idealized reversibility of basic physics against the pragmatic irreversibility of real life. Computer models, and simulation, are next discussed and illustrated. Simulations provide the means to assimilate concepts through worked-out examples. State-of-the-art analyses, from the point of view of dynamical systems, are applied to many-body examples from nonequilibrium molecular dynamics and to chaotic irreversible flows from finite-difference, finite-element, and particle-based continuum simulations. Two necessary concepts from dynamical-systems theory - fractals and Lyapunov instability - are fundamental to the approach. Undergraduate-level physics, calculus, and ordinary differential equations are sufficient background for a full appreciation of this book, which is intended for advanced undergraduates, graduates, and research workers.
Download or read book Microscopic Chaos Fractals and Transport in Nonequilibrium Statistical Mechanics written by Rainer Klages and published by World Scientific. This book was released on 2007 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: A valuable introduction for newcomers as well as an important reference and source of inspiration for established researchers, this book provides an up-to-date summary of central topics in the field of nonequilibrium statistical mechanics and dynamical systems theory.Understanding macroscopic properties of matter starting from microscopic chaos in the equations of motion of single atoms or molecules is a key problem in nonequilibrium statistical mechanics. Of particular interest both for theory and applications are transport processes such as diffusion, reaction, conduction and viscosity.Recent advances towards a deterministic theory of nonequilibrium statistical physics are summarized: Both Hamiltonian dynamical systems under nonequilibrium boundary conditions and non-Hamiltonian modelings of nonequilibrium steady states by using thermal reservoirs are considered. The surprising new results include transport coefficients that are fractal functions of control parameters, fundamental relations between transport coefficients and chaos quantities, and an understanding of nonequilibrium entropy production in terms of fractal measures and attractors.The theory is particularly useful for the description of many-particle systems with properties in-between conventional thermodynamics and nonlinear science, as they are frequently encountered on nanoscales.
Download or read book Simulation And Control Of Chaotic Nonequilibrium Systems With A Foreword By Julien Clinton Sprott written by William Graham Hoover and published by World Scientific Publishing Company. This book was released on 2015-02-02 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to provide a lively working knowledge of the thermodynamic control of microscopic simulations, while summarizing the historical development of the subject, along with some personal reminiscences. Many computational examples are described so that they are well-suited to learning by doing. The contents enhance the current understanding of the reversibility paradox and are accessible to advanced undergraduates and researchers in physics, computation, and irreversible thermodynamics.
Download or read book The Logic of Nature Complexity and New Physics written by Antonino Zichichi and published by World Scientific. This book was released on 2008 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: From August 29 to September 7, 2006, a large group of distinguished lecturers and young physicists coming from various countries around the world met in Erice, Italy, at the Ettore Majorana Foundation and Centre for Scientific Culture (EMFCSC) for the 44th course of the International School of Subnuclear Physics: OC The Logic of Nature, Complexity and New Physics: From Quark-Gluon Plasma to Superstrings, Quantum Gravity and BeyondOCO.This book is a collection of lectures given during the course, covering the most recent advances in theoretical physics and the latest results from current experimental facilities. Following one of the aims of the School, which is to encourage and promote young physicists to achieve recognition at an international level, the students who have distinguished themselves for their excellence in research have been given the opportunity to publish their presentations in this volume.
Download or read book Logic Of Nature Complexity And New Physics The From Quark gluon Plasma To Superstrings Quantum Gravity And Beyond Proceedings Of The International School Of Subnuclear Physics written by Antonino Zichichi and published by World Scientific. This book was released on 2008-07-04 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: From August 29 to September 7, 2006, a large group of distinguished lecturers and young physicists coming from various countries around the world met in Erice, Italy, at the Ettore Majorana Foundation and Centre for Scientific Culture (EMFCSC) for the 44th course of the International School of Subnuclear Physics: “The Logic of Nature, Complexity and New Physics: From Quark-Gluon Plasma to Superstrings, Quantum Gravity and Beyond”.This book is a collection of lectures given during the course, covering the most recent advances in theoretical physics and the latest results from current experimental facilities. Following one of the aims of the School, which is to encourage and promote young physicists to achieve recognition at an international level, the students who have distinguished themselves for their excellence in research have been given the opportunity to publish their presentations in this volume.
Download or read book Decoherence and Entropy in Complex Systems written by Hans-Thomas Elze and published by Springer Science & Business Media. This book was released on 2004-01-20 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions to this volume are based on selected lectures from the first international workshop on decoherence, information, complexity and entropy (DICE). The aim of this volume is to reflect the growing importance ot common concepts behind seemingly different fields such as quantum mechanics, general relativity and statistical physics in a form accessible to nonspecialist researchers. Many presentations include original results which published here for the first time.
Download or read book Frontiers of Fundamental Physics written by B. G. Sidharth and published by Springer Science & Business Media. This book was released on 2007-09-18 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Sixth International Symposium "Frontiers of Fundamental and Computational Physics", Udine, Italy, 26-29 September 2004, aimed at providing a platform for a wide range of physicists to meet and share thoughts on the latest trends in various, mainly cross-disciplinary research areas. This includes the exploration of frontier lines in High Energy Physics, Theoretical Physics, Gravitation and Cosmology, Astrophysics, Condensed Matter Physics, Fluid Mechanics. Such frontier lines were unified by the use of computers as an, often primary, research instruments, or dealing with issues related to information theory. The book contains contributions by Nobel Laureates Leon N. Cooper (1972) and Gerard ‘t Hooft (1999), and concludes with two interesting chapters on new approaches to Physics Teaching. Audience Graduate students, lecturers and researches in Physics
Download or read book Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems written by Jean-René Chazottes and published by Springer Science & Business Media. This book was released on 2005-07-06 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the dynamics of coupled map lattices (CML) and of related spatially extended systems. It will be useful to post-graduate students and researchers seeking an overview of the state-of-the-art and of open problems in this area of nonlinear dynamics. The special feature of this book is that it describes the (mathematical) theory of CML and some related systems and their phenomenology, with some examples of CML modeling of concrete systems (from physics and biology). More precisely, the book deals with statistical properties of (weakly) coupled chaotic maps, geometric aspects of (chaotic) CML, monotonic spatially extended systems, and dynamical models of specific biological systems.
Download or read book Zero Point Energy written by Thomas Valone and published by Integrity Research Institute. This book was released on 2007 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates the exciting promise that zero point energy, which supports every atom and molecule, will soon be used directly to power a car, house, or spaceship. With a clear, simple-to-understand style, a former community college teacher provides the only book with the history and science of zero point energy that emphasises its usage. Here is the only uninterruptible fuel supply for the near future that will be here sooner than you think. Business entrepreneur? You need to learn about this before your competition does.
Download or read book Geometry of Nonholonomically Constrained Systems written by Richard H. Cushman and published by World Scientific. This book was released on 2010 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Nonholonomically constrained motions. 1.1. Newton's equations. 1.2. Constraints. 1.3. Lagrange-d'Alembert equations. 1.4. Lagrange derivative. 1.5. Hamilton-d'Alembert equations. 1.6. Distributional Hamiltonian formulation. 1.7. Almost Poisson brackets. 1.8. Momenta and momentum equation. 1.9. Projection principle. 1.10. Accessible sets. 1.11. Constants of motion. 1.12. Notes -- 2. Group actions and orbit spaces. 2.1. Group actions. 2.2. Orbit spaces. 2.3. Isotropy and orbit types. 2.4. Smooth structure on an orbit space. 2.5. Subcartesian spaces. 2.6. Stratification of the orbit space by orbit types. 2.7. Derivations and vector fields on a differential space. 2.8. Vector fields on a stratified differential space. 2.9. Vector fields on an orbit space. 2.10. Tangent objects to an orbit space. 2.11. Notes -- 3. Symmetry and reduction. 3.1. Dynamical systems with symmetry. 3.2. Nonholonomic singular reduction. 3.3. Nonholonomic regular reduction. 3.4. Chaplygin systems. 3.5. Orbit types and reduction. 3.6. Conservation laws. 3.7. Lifted actions and the momentum equation. 3.8. Notes -- 4. Reconstruction, relative equilibria and relative periodic orbits. 4.1. Reconstruction. 4.2. Relative equilibria. 4.3. Relative periodic orbits. 4.4. Notes -- 5. Carathéodory's sleigh. 5.1. Basic set up. 5.2. Equations of motion. 5.3. Reduction of the E(2) symmetry. 5.4. Motion on the E(2) reduced phase space. 5.5. Reconstruction. 5.6. Notes -- 6. Convex rolling rigid body. 6.1. Basic set up. 6.2. Unconstrained motion. 6.3. Constraint distribution. 6.4. Constrained equations of motion. 6.5. Reduction of the translational [symbol] symmetry. 6.6. Reduction of E(2) symmetry. 6.7. Body of revolution. 6.8. Notes -- 7. The rolling disk. 7.1. General set up. 7.2. Reduction of the E(2) x S[symbol] symmetry. 7.3. Reconstruction. 7.4. Relative equilibria. 7.5. A potential function on an interval. 7.6. Scaling. 7.7. Solutions of the rescaled Chaplygin equations. 7.8. Bifurcations of a vertical disk. 7.9. The global geometry of the degeneracy locus. 7.10. Falling flat. 7.11. Near falling flat. 7.12. The bifurcation diagram. 7.13. The integral map. 7.14. Constant energy slices. 7.15. The spatial rotational shift. 7.16. Notes.
Download or read book Geometrical Theory Of Dynamical Systems And Fluid Flows Revised Edition written by Tsutomu (Jixin) Kambe and published by World Scientific Publishing Company. This book was released on 2009-12-28 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory textbook on the geometrical theory of dynamical systems, fluid flows and certain integrable systems. The topics are interdisciplinary and extend from mathematics, mechanics and physics to mechanical engineering, and the approach is very fundamental. The main theme of this book is a unified formulation to understand dynamical evolutions of physical systems within mathematical ideas of Riemannian geometry and Lie groups by using well-known examples. Underlying mathematical concepts include transformation invariance, covariant derivative, geodesic equation and curvature tensors on the basis of differential geometry, theory of Lie groups and integrability. These mathematical theories are applied to physical systems such as free rotation of a top, surface wave of shallow water, action principle in mechanics, diffeomorphic flow of fluids, vortex motions and some integrable systems.In the latest edition, a new formulation of fluid flows is also presented in a unified fashion on the basis of the gauge principle of theoretical physics and principle of least action along with new type of Lagrangians. A great deal of effort has been directed toward making the description elementary, clear and concise, to provide beginners easy access to the topics.
Download or read book Energy Localisation and Transfer written by Thierry Dauxois and published by World Scientific. This book was released on 2004 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to localised excitations in spatially discrete systems, from the experimental, numerical and mathematical points of view. Also known as discrete breathers, nonlinear lattice excitations and intrinsic localised modes, these are spatially localised time periodic motions in networks of dynamical units. Examples of such networks are molecular crystals, biomolecules, and arrays of Josephson superconducting junctions. The book also addresses the formation of discrete breathers and their potential role in energy transfer in such systems.
