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Books in Nonlinear statistical and applied physics

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291-300 of 331 results in All results

Vacuum Structure and QCD Sum Rules

  • 1st Edition
  • Volume 10
  • December 23, 1992
  • M.A. Shifman
  • English
  • eBook
    9 7 8 - 0 - 4 4 4 - 5 9 6 1 6 - 1
The method of the QCD sum rules was and still is one of the most productive tools in a wide range of problems associated with the hadronic phenomenology. Many heuristic ideas, computational devices, specific formulae which are useful to theorists working not only in hadronic physics, have been accumulated in this method. Some of the results and approaches which have originally been developed in connection with the QCD sum rules can be and are successfully applied in related fields, such as supersymmetric gauge theories, nontraditional schemes of quarks and leptons etc. The amount of literature on these and other more basic problems in hadronic physics has grown enormously in recent years. This volume presents a collection of papers which provide an overview of all basic elements of the sum rule approach and priority has been given to those works which seemed most useful from a pedagogical point of view.

Topics in Soliton Theory

  • 1st Edition
  • Volume 167
  • November 26, 1991
  • R.W. Carroll
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 2 7 8 - 0
When soliton theory, based on water waves, plasmas, fiber optics etc., was developing in the 1960-1970 era it seemed that perhaps KdV (and a few other equations) were really rather special in the set of all interesting partial differential equations. As it turns out, although integrable systems are still special, the mathematical interaction of integrable systems theory with virtually all branches of mathematics (and with many currently developing areas of theoretical physics) illustrates the importance of this area. This book concentrates on developing the theme of the tau function. KdV and KP equations are treated extensively, with material on NLS and AKNS systems, and in following the tau function theme one is led to conformal field theory, strings, and other topics in physics. The extensive list of references contains about 1000 entries.

Active Control of Sound

  • 1st Edition
  • November 8, 1991
  • P A Nelson
  • English
  • Hardback
    9 7 8 - 0 - 1 2 - 5 1 5 4 2 5 - 3
Recent technological advances in the development of fast digital signal processors have made the active control of sound a practical proposition. This book brings together results from research in the two disciplinesof acoustics and signal processing and presents the fundamentals of noise control in a unified manner. Practical applications are presented wherever possible although the emphasis is on the algorithmic principles which form the foundation of practical systems. The volume is written in textbook style and aimed at both undergraduate and postgraduate students of acoustics and signal processing, professional acoustical and electrical engineers, and researchers in the field of active control.

Structures in Dynamics

  • 1st Edition
  • Volume 2
  • November 5, 1991
  • H.W. Broer + 3 more
  • English
  • eBook
    9 7 8 - 0 - 4 4 4 - 5 9 6 2 5 - 3
The study of non-linear dynamical systems nowadays is an intricate mixture of analysis, geometry, algebra and measure theory and this book takes all aspects into account.Presenting the contents of its authors' graduate courses in non-linear dynamical systems, this volume aims at researchers who wish to be acquainted with the more theoretical and fundamental subjects in non-linear dynamics and is designed to link the popular literature with research papers and monographs.All of the subjects covered in this book are extensively dealt with and presented in a pedagogic form. These include the presentation of an environment for the route to chaos by quasi-periodicity (which is related to the Landau-Lifschitz and Ruelle-Takens scenario's concerning the onset of turbulence); the theories of 1-dimensional dynamics, singularities in planar vector fields, and quasi-periodicity in dissipative systems.

Quantum Physics, Relativity, and Complex Spacetime

  • 1st Edition
  • Volume 163
  • December 11, 1990
  • G. Kaiser
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 2 7 4 - 2
A new synthesis of the principles of quantum mechanics and Relativity is proposed in the context of complex differential geometry. The positivity of the energy implies that wave functions and fields can be extended to complex spacetime, and it is shown that this complexification has a solid physical interpretation as an extended phase space. The extended fields can be said to be realistic wavelet transforms of the original fields. A new, algebraic theory of wavelets is developed.

Fluid Mechanics

  • 1st Edition
  • August 28, 1990
  • Pijush K. Kundu
  • English
  • eBook
    9 7 8 - 0 - 3 2 3 - 1 4 0 2 4 - 9
Written in a clear and simple style, this textbook on fluid mechanics gives equal emphasis to both geophysical and engineering fluid mechanics. For physicists, it contains chapters on geophysical fluid mechanics and gravity waves; for engineers, it has chapters on aerodynamics and compressible flow. Of common interest are chapters on governing equations, laminar flows, boundary layers, instability, and turbulence. This book also presents topics of recent interest, such as deterministic chaos, and double-diffusive instability.

Dissipative Structures and Weak Turbulence

  • 1st Edition
  • May 28, 1990
  • Paul Manneville
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 9 2 4 4 5 - 8
Dissipative Structure and Weak Turbulence provides an understanding of the emergence and evolution of structures in macroscopic systems. This book discusses the emergence of dissipative structures. Organized into 10 chapters, this book begins with an overview of the stability of a fluid layer with potentially unstable density stratification in the field of gravity. This text then explains the theoretical description of the dynamics of a given system at a formal level. Other chapters consider several examples of how such simplified models can be derived, complicating the picture progressively to account for other phenomena. This book discusses as well the theory and experiments on plain Rayleigh–Bénard convection by setting first the theoretical frame and deriving the analytical solution of the marginal stability problem. The final chapter deals with building a bridge between chaos as studied in weakly confined systems and more advanced turbulence in the most conventional sense. This book is a valuable resource for physicists.

Statistical Mechanics

  • 1st Edition
  • April 19, 1990
  • R. Kubo + 3 more
  • English
  • Paperback
    9 7 8 - 0 - 4 4 4 - 8 7 1 0 3 - 9
Statistical Mechanics provides a series of concise lectures on the fundamental theories of statistical mechanics, carefully chosen examples and a number of problems with complete solutions. Modern physics has opened the way for a thorough examination of infra-structure of nature and understanding of the properties of matter from an atomistic point of view. Statistical mechanics is an essential bridge between the laws of nature on a microscopic scale and the macroscopic behaviour of matter. A good training in statistical mechanics thus provides a basis for modern physics and is indispensable to any student in physics, chemistry, biophysics and engineering sciences who wishes to work in these rapidly developing scientific and technological fields. The collection of examples and problems is comprehensive. The problems are grouped in order of increasing difficulty.

Femtophysics

  • 1st Edition
  • January 1, 1990
  • M. G. Bowler
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 9 8 3 8 6 - 8
Provides an account of what is now known about physics at scales of 1013 to 1016 cm. The existence of spin half quarks interacting through colour fields is established fact, as is the structure unifying electromagnetic and weak interaction. In Femtophysics, the author explains the evidence and communicates the essential physics underlying these recent and remarkable developments. The approach throughout is to obtain results by applying trivial algebra to the content of simple and clear physical pictures. Thus, abstract and difficult concepts can be mastered painlessly while maintaining a firm grip on the essentials. The diligent student, therefore, should acquire a comprehensive understanding of the principles underlying present day particle physics.

Charge Density Waves in Solids

  • 1st Edition
  • Volume 25
  • December 6, 1989
  • L.P. Gor'kov + 1 more
  • English
  • eBook
    9 7 8 - 0 - 4 4 4 - 6 0 0 7 3 - 8
The latest addition to this series covers a field which is commonly referred to as charge density wave dynamics.The most thoroughly investigated materials are inorganic linear chain compounds with highly anisotropic electronic properties. The volume opens with an examination of their structural properties and the essential features which allow charge density waves to develop.The behaviour of the charge density waves, where interesting phenomena are observed, is treated both from a theoretical and an experimental standpoint. The role of impurities in statics and dynamics is considered and an examination of the possible role of solitons in incommensurate charge density wave systems is given. A number of ways to describe charge density waves theoretically, using computer simulations as well as microscopical models, are presented by a truely international board of authors.

Related subjects

Acoustics

Classical and quantum physics mechanics and fields

Fluid dynamics

Kinetic and transport theory of fluids physical properties of gases

Mathematical methods in physics

Mechanics elasticity rheology

Nonlinear statistical and mathematical physics general

Relativity and gravitation

Statistical physics and thermodynamics

Ultrasonics