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The articles in this volume are based on recent research on the phenomenon of turbulence in fluid flows collected by the Institute for Mathematics and its Applications. This volume looks into the dynamical properties of the solutions of the Navier-Stokes equations, the equations of motion of incompressible, viscous fluid flows, in order to better understand this phenomenon. Although it is a basic issue of science, it has implications over a wide spectrum of modern technological applications. The articles offer a variety of approaches to the Navier-Stokes problems and related issues. This book should be of interest to both applied mathematicians and engineers.
This book provides state-of-the-art results and theories in homogeneous turbulence, including anisotropy and compressibility effects with extension to quantum turbulence, magneto-hydodynamic turbulence and turbulence in non-newtonian fluids. Each chapter is devoted to a given type of interaction (strain, rotation, shear, etc.), and presents and compares experimental data, numerical results, analysis of the Reynolds stress budget equations and advanced multipoint spectral theories. The role of both linear and non-linear mechanisms is emphasized. The link between the statistical properties and the dynamics of coherent structures is also addressed. Despite its restriction to homogeneous turbulence, the book is of interest to all people working in turbulence, since the basic physical mechanisms which are present in all turbulent flows are explained. The reader will find a unified presentation of the results and a clear presentation of existing controversies. Special attention is given to bridge the results obtained in different research communities. Mathematical tools and advanced physical models are detailed in dedicated chapters.
BACKGROUND Sir Isaac Newton hrought to the world the idea of modeling the motion of physical systems with equations. It was necessary to invent calculus along the way, since fundamental equations of motion involve velocities and accelerations, of position. His greatest single success was his discovery that which are derivatives the motion of the planets and moons of the solar system resulted from a single fundamental source: the gravitational attraction of the hodies. He demonstrated that the ohserved motion of the planets could he explained hy assuming that there is a gravitational attraction he tween any two ohjects, a force that is proportional to the product of masses and inversely proportional to the square of the distance between them. The circular, elliptical, and parabolic orhits of astronomy were v INTRODUCTION no longer fundamental determinants of motion, but were approximations of laws specified with differential equations. His methods are now used in modeling motion and change in all areas of science. Subsequent generations of scientists extended the method of using differ ential equations to describe how physical systems evolve. But the method had a limitation. While the differential equations were sufficient to determine the behavior-in the sense that solutions of the equations did exist-it was frequently difficult to figure out what that behavior would be. It was often impossible to write down solutions in relatively simple algebraic expressions using a finite number of terms. Series solutions involving infinite sums often would not converge beyond some finite time.
An account of the creation of new forms of life and intelligence in cybernetics, artificial life, and artificial intelligence that analyzes both the similarities and the differences among these sciences in actualizing life.The Allure of Machinic Life
Of working group C. Introduction and summary of working group C: part I / J.S.T. Ng -- Contributed papers. Is there emmitted radiation in the Unruh effect? / B.L. Hu and A. Raval -- Fermilab A0 channeling program / R.A. Carrigan, Jr. [and others] -- Integral characteristics of bremsstrahlung and pair photoproduction in a medium / V.N. Baier and V.M. Katkov -- The Coulomb corrections to e+e- pair production in ultrarelativistic heavy-ion collisions / R.N. Lee -- Spin depolarization due to beam-beam interaction in linear colliders / K.A. Thompson -- Gravitational Čerenkov radiation and scalar stars / S. Capozziello, G. Lambiase and D.F. Torres -- D. Quantum methodologies in beam physics. Plenary papers. Supersymmetry and beam dynamics / J.D. Bjorken and P. Chen -- Landau damping in nonlinear Schrödinger equations / R. Fedele [and others] -- Summary of working group D. Quantum methodology in beam physics / A. Dragt and M. Pusterla -- Contributed papers. Controlled stochastic collective dynamics of particle beams in the stability regime / C. Petroni [and others] -- Quantum mechanical formalism of particle beam optics / S.A. Khan -- Localized coherent structures and patterns formation in collective models of beam motion / A. Fedorova and M. Zeitlin -- Quasiclassical calculations for Wigner functions via multiresolution / A. Fedorova and M. Zeitlin -- Single-particle quantum dynamics in a magnetic lattice / M. Venturini and R.D. Ruth -- Quantum-like approach to beam dynamics - application to the LHC and HIDIF projects / M. Pusterla -- Quantum mechanics of Dirac particle beam optics: single-particle theory / R. Jaganathan -- Quantum models in beam physics and signal analysis / M. Manko -- Radiative corrections in symmetrized classical electrodynamics / J.R. Van Meter [and others] -- Beyond Unruh effect: nonequilibrium quantum dynamics of moving charges / B.L. Hu and P.R. Johnson.
This updated new edition provides an introduction to the field of thermoacoustics. All of the key aspects of the topic are introduced, with the goal of helping the reader to acquire both an intuitive understanding and the ability to design hardware, build it, and assess its performance. Weaving together intuition, mathematics, and experimental results, this text equips readers with the tools to bridge the fields of thermodynamics and acoustics. At the same time, it remains firmly grounded in experimental results, basing its discussions on the distillation of a body of experiments spanning several decades and countries. The book begins with detailed treatment of the fundamental physical laws that underlie thermoacoustics. It then goes on to discuss key concepts, including simple oscillations, waves, power, and efficiency. The remaining portions of the book delve into more advanced topics and address practical concerns in applications chapters on hardware and measurements. With its careful progression and end-of-chapter exercises, this book will appeal to graduate students in physics and engineering as well as researchers and practitioners in either acoustics or thermodynamics looking to explore the possibilities of thermoacoustics. This revised and expanded second edition has been updated with an eye to modern technology, including computer animations and DeltaEC examples.
This text aims to bridge the gap between non-mathematical popular treatments and the distinctly mathematical publications that non- mathematicians find so difficult to penetrate. The author provides understandable derivations or explanations of many key concepts, such as Kolmogrov-Sinai entropy, dimensions, Fourier analysis, and Lyapunov exponents.
A quantum origin of life? -- Quantum mechanics and emergence -- Quantum coherence and the search for the first replicator -- Ultrafast quantum dynamics in photosynthesis -- Modelling quantum decoherence in biomolecules -- Molecular evolution -- Memory depends on the cytoskeleton, but is it quantum? -- Quantum metabolism and allometric scaling relations in biology -- Spectroscopy of the genetic code -- Towards understanding the origin of genetic languages -- Can arbitrary quantum systems undergo self-replication? -- A semi-quantum version of the game of life -- Evolutionary stability in quantum games -- Quantum transmemetic intelligence -- Dreams versus reality : plenary debate session on quantum computing -- Plenary debate: quantum effects in biology : trivial or not? -- Nontrivial quantum effects in biology : a skeptical physicists' view -- That's life! : the geometry of p electron clouds.