Nonlocal Continuum Field Theories
Nonlocal Continuum Field Theories

Author: A. Cemal Eringen

Publisher: Springer Science & Business Media

Published: 2007-06-14

Total Pages: 386

ISBN-13: 0387226435

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Nonlocal continuum field theories are concerned with material bodies whose behavior at any interior point depends on the state of all other points in the body -- rather than only on an effective field resulting from these points -- in addition to its own state and the state of some calculable external field. Nonlocal field theory extends classical field theory by describing the responses of points within the medium by functionals rather than functions (the "constitutive relations" of classical field theory). Such considerations are already well known in solid-state physics, where the nonlocal interactions between the atoms are prevalent in determining the properties of the material. The tools developed for crystalline materials, however, do not lend themselves to analyzing amorphous materials, or materials in which imperfections are a major part of the structure. Nonlocal continuum theories, by contrast, can describe these materials faithfully at scales down to the lattice parameter. This book presents a unified approach to field theories for elastic solids, viscous fluids, and heat-conducting electromagnetic solids and fluids that include nonlocal effects in both space and time (memory effects). The solutions to the field equations agree remarkably well with atomic theories and experimental observations.

Many-body Theory of Atomic Structure and Photoionization
Many-body Theory of Atomic Structure and Photoionization

Author: Tu-nan Chang

Publisher: World Scientific

Published: 1993

Total Pages: 434

ISBN-13: 9789810208776

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Detailed discussions on many of the recent advances in the many-body theory of atomic structure are presented by the leading experts around the world on their respective specialized approaches. Emphasis is given to the photoionization dominated by the resonance structures, which reveals the effect of the multi-electron interaction in atomic transitions involving highly correlated atomic systems. Recent experimental developments, stimulated by the more advanced applications of intense lasers and short wavelength synchrotron radiation, are also reviewed. This book brings together a comprehensive theoretical and experimental survey of the current understanding of the basic physical processes involved in atomic processes.

Many-body Theory Of Atomic Structure And Photoionization
Many-body Theory Of Atomic Structure And Photoionization

Author: Tu-nan Chang

Publisher: World Scientific

Published: 1993-10-31

Total Pages: 428

ISBN-13: 9814505773

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Detailed discussions on many of the recent advances in the many-body theory of atomic structure are presented by the leading experts around the world on their respective specialized approaches. Emphasis is given to the photoionization dominated by the resonance structures, which reveals the effect of the multi-electron interaction in atomic transitions involving highly correlated atomic systems. Recent experimental developments, stimulated by the more advanced applications of intense lasers and short wavelength synchrotron radiation, are also reviewed. This book brings together a comprehensive theoretical and experimental survey of the current understanding of the basic physical processes involved in atomic processes.

The Theory of Atomic Structure and Spectra
The Theory of Atomic Structure and Spectra

Author: Robert D. Cowan

Publisher: Univ of California Press

Published: 2023-11-15

Total Pages: 752

ISBN-13: 0520906152

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Both the interpretation of atomic spectra and the application of atomic spectroscopy to current problems in astrophysics, laser physics, and thermonuclear plasmas require a thorough knowledge of the Slater-Condon theory of atomic structure and spectra. This book gathers together aspects of the theory that are widely scattered in the literature and augments them to produce a coherent set of closed-form equations suitable both for computer calculations on cases of arbitrary complexity and for hand calculations for very simple cases.

Fracture Nanomechanics
Fracture Nanomechanics

Author: Takayuki Kitamura

Publisher: CRC Press

Published: 2011-09-06

Total Pages: 301

ISBN-13: 9814303119

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Small structures of the micro/nanometer scale, such as electronic/optic devices and MEMS/NEMS have been developed, and the size of their elements now approaches the nano/atomic scale. This book discuses the fracture behavior of nano/atomic elements (nanofilms, nanowires, and so on) and focuses on the initiation and propagation of interface crack and mechanical instability criterion of atomic structures. This covers the fundamentals and the applicability of the top-down (conventional fracture mechanics to nanoscale) and bottom-up (atomic mechanics including ab initio simulation) concepts. New areas, such as multiphysics characteristics of nanoelements, are introduced as well.

Mechanical Behaviors of Carbon Nanotubes
Mechanical Behaviors of Carbon Nanotubes

Author: K.M. Liew

Publisher: William Andrew

Published: 2016-12-25

Total Pages: 463

ISBN-13: 0323431763

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Mechanical Behaviors of Carbon Nanotubes: Theoretical and Numerical Approaches presents various theoretical and numerical studies on mechanical behaviors of carbon nanotubes. The main theoretical aspects included in the book contain classical molecular dynamics simulation, atomistic-continuum theory, atomic finite element method, continuum plate, nonlocal continuum plate, and shell models. Detailed coverage is also given to structural and elastic properties, trace of large deformation, buckling and post-buckling behaviors, fracture, vibration characteristics, wave propagation, and the most promising engineering applications. This book not only illustrates the theoretical and numerical methods for analyzing the mechanical behavior of carbon nanotubes, but also contains computational results from experiments that have already taken place. - Covers various theoretical and numerical studies, giving readers a greater understanding of the mechanical behavior of carbon nanotubes - Includes multiscale methods that provide the advantages of atomistic and continuum approaches, helping readers solve complex, large-system engineering problems - Allows engineers to create more efficient carbon nanotube structures and devices

Bridging the Time Scales
Bridging the Time Scales

Author: Peter Nielaba

Publisher: Springer Science & Business Media

Published: 2002-12-19

Total Pages: 498

ISBN-13: 3540443177

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The behaviour of many complex materials extends over time- and lengthscales well beyond those that can normally be described using standard molecular dynamics or Monte Carlo simulation techniques. As progress is coming more through refined simulation methods than from increased computer power, this volume is intended as both an introduction and a review of all relevant modern methods that will shape molecular simulation in the forthcoming decade. Written as a set of tutorial reviews, the book will be of use to specialists and nonspecialists alike.

Experimental Studies Of Boson Fields In Solids
Experimental Studies Of Boson Fields In Solids

Author: Ulrich Kobler

Publisher: World Scientific

Published: 2018-09-14

Total Pages: 962

ISBN-13: 9813235500

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This book provides a new understanding of the large amount of experimental results gained in solid state physics during the last seven decades. For more than 160 different materials, data analyses shown in terms of atomistic models (Hamiltonians) have not provided a quantitatively satisfactory description of either excitation spectra or dynamic properties. Instead, the experimental evidences have elaborated that field theories are necessary. However, most experimentalists are not familiar with field theories, and realistic field theories of magnetism are absent.The book illustrates in an empirical way the elements of future field theories of solid state physics with special emphasis on magnetic materials. In contrast to the many available textbooks on quantum field theories that emphasize more on algorithmic formalities rather than referring to the experimental facts, the approach in this book is pragmatic instead of abstract theoretic. This methodical concept considerably facilitates experimentalists to get acquainted with the basic ideas of field theories, even if a ready field theory is not provided by this experimental study.

Essays in Science
Essays in Science

Author: Albert Einstein

Publisher: Open Road Media

Published: 2011-09-27

Total Pages: 130

ISBN-13: 1453265740

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The Authorized Albert Einstein Archives Edition: An homage to the men and women of science, and an exposition of Einstein’s place in scientific history. In this fascinating collection of articles and speeches, Albert Einstein reflects not only on the scientific method at work in his own theoretical discoveries, but also eloquently expresses a great appreciation for his scientific contemporaries and forefathers, including Johannes Kepler, Isaac Newton, James Clerk Maxwell, Max Planck, and Niels Bohr. While Einstein is renowned as one of the foremost innovators of modern science, his discoveries uniquely his own, through his own words it becomes clear that he viewed himself as only the most recent in a long line of scientists driven to create new ways of understanding the world and to prove their scientific theories. Einstein’s thoughtful examinations explain the “how” of scientific innovations both in his own theoretical work and in the scientific method established by those who came before him. This authorized ebook features a new introduction by Neil Berger, PhD, and an illustrated biography of Albert Einstein, which includes rare photos and never-before-seen documents from the Albert Einstein Archives at the Hebrew University of Jerusalem.