Books in Nonlinear statistical and applied physics

Unified Non-Local Theory of Transport Processes

2nd Edition
February 5, 2015
Boris V. Alexeev
English
Hardback
9 7 8 0 4 4 4 6 3 4 7 8 8
eBook
9 7 8 0 4 4 4 6 3 4 8 7 0

Unified Non-Local Theory of Transport Processess, 2nd Edition provides a new theory of transport processes in gases, plasmas and liquids. It is shown that the well-known Boltzmann equation, which is the basis of the classical kinetic theory, is incorrect in the definite sense. Additional terms need to be added leading to a dramatic change in transport theory. The result is a strict theory of turbulence and the possibility to calculate turbulent flows from the first principles of physics.

Introduction to Spectral Theory in Hilbert Space

1st Edition
Volume 6
November 28, 2014
Gilbert Helmberg
H. A. Lauwerier + 1 more
English
eBook
9 7 8 1 4 8 3 1 6 4 1 7 5

North-Holland Series in Applied Mathematics and Mechanics, Volume 6: Introduction to Spectral Theory in Hilbert Space focuses on the mechanics, principles, and approaches involved in spectral theory in Hilbert space. The publication first elaborates on the concept and specific geometry of Hilbert space and bounded linear operators. Discussions focus on projection and adjoint operators, bilinear forms, bounded linear mappings, isomorphisms, orthogonal subspaces, base, subspaces, finite dimensional Euclidean space, and normed linear spaces. The text then takes a look at the general theory of linear operators and spectral analysis of compact linear operators, including spectral decomposition of a compact selfadjoint operator, weakly convergent sequences, spectrum of a compact linear operator, and eigenvalues of a linear operator. The manuscript ponders on the spectral analysis of bounded linear operators and unbounded selfadjoint operators. Topics include spectral decomposition of an unbounded selfadjoint operator and bounded normal operator, functions of a unitary operator, step functions of a bounded selfadjoint operator, polynomials in a bounded operator, and order relation for bounded selfadjoint operators. The publication is a valuable source of data for mathematicians and researchers interested in spectral theory in Hilbert space.

Power Ultrasonics

1st Edition
November 7, 2014
Juan A. Gallego-Juarez + 1 more
English
eBook
9 7 8 1 7 8 2 4 2 0 3 6 1

The industrial interest in ultrasonic processing has revived during recent years because ultrasonic technology may represent a flexible “green” alternative for more energy efficient processes. A challenge in the application of high-intensity ultrasound to industrial processing is the design and development of specific power ultrasonic systems for large scale operation. In the area of ultrasonic processing in fluid and multiphase media the development of a new family of power generators with extensive radiating surfaces has significantly contributed to the implementation at industrial scale of several applications in sectors such as the food industry, environment, and manufacturing. Part one covers fundamentals of nonlinear propagation of ultrasonic waves in fluids and solids. It also discusses the materials and designs of power ultrasonic transducers and devices. Part two looks at applications of high power ultrasound in materials engineering and mechanical engineering, food processing technology, environmental monitoring and remediation and industrial and chemical processing (including pharmaceuticals), medicine and biotechnology.

Quantum Machine Learning

1st Edition
August 13, 2014
Peter Wittek
English
Paperback
9 7 8 0 1 2 8 1 0 0 4 0 0
eBook
9 7 8 0 1 2 8 0 1 0 9 9 0

Quantum Machine Learning bridges the gap between abstract developments in quantum computing and the applied research on machine learning. Paring down the complexity of the disciplines involved, it focuses on providing a synthesis that explains the most important machine learning algorithms in a quantum framework. Theoretical advances in quantum computing are hard to follow for computer scientists, and sometimes even for researchers involved in the field. The lack of a step-by-step guide hampers the broader understanding of this emergent interdisciplinary body of research. Quantum Machine Learning sets the scene for a deeper understanding of the subject for readers of different backgrounds. The author has carefully constructed a clear comparison of classical learning algorithms and their quantum counterparts, thus making differences in computational complexity and learning performance apparent. This book synthesizes of a broad array of research into a manageable and concise presentation, with practical examples and applications.

Mechanics of Liquids and Gases

2nd Edition
July 18, 2014
L. G. Loitsyanskii
R. T. Jones + 1 more
English
eBook
9 7 8 1 4 8 3 1 8 4 9 6 8

Mechanics of Liquids and Gases, Second Edition is a 10-chapter text that covers significant revisions concerning the dynamics of an ideal gas, a viscous liquid and a viscous gas. After an expanded introduction to the fundamental properties and methods of the mechanics of fluids, this edition goes on dealing with the kinetics and general questions of dynamics. The next chapters describe the one-dimensional pipe flow of a gas with friction, the elementary theory of the shock tube; Riemann's theory of the wave propagation of finite intensity, and the theory of plane subsonic and supersonic flows. Other chapters consider the elements of the theory of three-dimensional subsonic and supersonic flows past bodies; the fluctuating laminar flow in a uniform pipe of circular cross-section; the hydrodynamic theory of lubrication; the variational principle of Helmholtz; and the theory of plane and axisymmetric laminar jets. The remaining chapters look into the semi-empirical theories of turbulence and their application in the analysis of axisymmetric jets, with and without swirl, and in the calculation of the resistance of rough plates. These chapters also discuss the dynamics of a viscous gas and the elements of the theory of laminar and turbulent boundary layers at high speeds. This book will be of value to mechanical engineers, physicists, and researchers.

Single-mode Optical Fibres

1st Edition
June 28, 2014
G. Cancellieri
English
eBook
9 7 8 1 4 8 3 2 9 6 0 7 4

This book describes signal propagation in single-mode optical fibres for telecommunication applications. Such description is based on the analysis of field propagation, considering waveguide properties and also some of the particular characteristics of the material fibre. The book covers such recent advances as, coherent transmissions; optical amplification; MIR fibres; polarization maintaining; polarization diversity and photon counting.

Statistical Models for the Fracture of Disordered Media

1st Edition
June 28, 2014
H.J. Herrmann + 1 more
English
eBook
9 7 8 1 4 8 3 2 9 6 1 2 8

Since the beginning of the century the technological desire to master the fracture of metals, concrete or polymers has boosted research and has left behind an overwhelming amount of literature. In a field where it seems difficult to say anything simple and new, the editors and authors of this book have managed to do just that.The approach to fracture taken here was not conceived by mechanical engineers or material scientists. It is essentially the by-product of exciting developments that have occurred in the last ten to fifteen years within a branch of theoretical physics, called statistical physics. Concepts such as ``percolation'' and ``fractals'', as models for the properties of fracture are not often considered by engineers. A particular aim of this volume is to emphasize the fundamental role disorder plays in the breaking process.The main scope of the volume is pedagogical and is at the same time an overview of fracture mechanics for physicists and an introduction to new concepts of statistical physics for mechanics and engineers. To this end the first half of the book consists of introductory chapters and the second half contains the results that have emerged from this new approach.

On Clusters and Clustering

1st Edition
June 28, 2014
P.J. Reynolds
English
eBook
9 7 8 1 4 8 3 2 9 7 5 2 1

This book attempts to answer why there is so much interest in clusters. Clusters occur on all length scales, and as a result occur in a variety of fields. Clusters are interesting scientifically, but they also have important consequences technologically.The division of the book into three parts roughly separates the field into small, intermediate, and large-scale clusters. Small clusters are the regime of atomic and molecular physics and chemistry. The intermediate regime is the transitional regime, with its characteristics including the onset of bulk-like behavior, growth and aggregation, and the beginning of materials properties. Large-scale clusters reflect more condensed-matter and materials science aspects and it is in this regime that fractals make their most dramatic appearance.This well-integrated and pedagogical overview of the wide field of clusters in which both theoretical and experimental work is covered, will be of interest not only to students, advanced undergraduates and graduate students, but also to researchers in the various subfields surveyed.

Uncommon Paths in Quantum Physics

1st Edition
June 26, 2014
Konstantin V. Kazakov
English
Hardback
9 7 8 0 1 2 8 0 1 5 8 8 9
eBook
9 7 8 0 1 2 8 0 1 5 9 8 8

Quantum mechanics is one of the most fascinating, and at the same time most controversial, branches of contemporary science. Disputes have accompanied this science since its birth and have not ceased to this day. Uncommon Paths in Quantum Physics allows the reader to contemplate deeply some ideas and methods that are seldom met in the contemporary literature. Instead of widespread recipes of mathematical physics, based on the solutions of integro-differential equations, the book follows logical and partly intuitional derivations of non-commutative algebra. Readers can directly penetrate the abstract world of quantum mechanics.

Gaseous Electronics and Gas Lasers

1st Edition
June 20, 2014
Blake E. Cherrington
D. Ter Haar
English
eBook
9 7 8 1 4 8 3 2 7 8 9 6 4

Gaseous Electronics and Gas Lasers deals with the fundamental principles and methods of analysis of weakly ionized gas discharges and gas lasers. The emphasis is on processes occurring in gas discharges and the analytical methods used to calculate important process rates. Detailed analyses of a variety of gas discharges are presented using atomic, ionic, and gas lasers as primary illustrations. Comprised of 12 chapters, this book begins with some initial categorization of gas discharge species and an overview of their interactions. The discussion then turns to an elementary theory of a gas discharge; inelastic collisions; distribution functions and the Boltzmann equation; and transport coefficients. Subsequent chapters focus on the fluid equations; electron-density decay processes; excited species; atomic neutral gas lasers; molecular gas lasers; and ion lasers. The important electron loss processes that determine the behavior of a plasma when the source and loss terms balance are also examined. This monograph will be of value to graduate students, practitioners, and researchers in the fields of physics and engineering, as well as to professionals interested in working with weakly ionized discharges.

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

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