Asymmetric Continuum
Asymmetric Continuum

Author: Roman Teisseyre

Publisher: Springer Science & Business Media

Published: 2013-09-24

Total Pages: 189

ISBN-13: 3642318606

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This book deals with a class of basic deformations in Asymmetric Continuum Theory. It describes molecular deformations and transport velocities in fluids, strain deformations in solids as well as the molecular transport, important in fracture processes. In solids, a separate problem relates to the displacements; their recording, e.g., by means of the seismometers, proves only the existence of the displacement derivatives and not a real displacement. However, the molecular displacements and new fracture criterion including the defect distributions and induced strains are defined in the book too. In fluids, the transport velocities and molecular strains describe the motion processes. The vortex motions are defined by means of the rotational transport; this approach leads to more complicated problems, like the turbulence phenomena. The interaction processes, including the electric and magnetic fields, and some thermodynamical problems and quantum theory analogies help to understand the extreme processes

Physics of Asymmetric Continuum: Extreme and Fracture Processes
Physics of Asymmetric Continuum: Extreme and Fracture Processes

Author: Roman Teisseyre

Publisher: Springer Science & Business Media

Published: 2008-08-07

Total Pages: 300

ISBN-13: 3540683607

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Our new monograph has been inspired by the former one, Earthquake Source Asymmetry, Structural Media, and Rotation Effects (R. Teisseyre, M. Takeo, and E. Majewski, eds, Springer 2006). Some problems, c- cerned primarily but not exclusively with the basic theoretical nature, have appeared to us as worthy of further analysis. Thus, in the present mo- graph we intend to develop new theoretical approaches to the theory of continua that go far beyond the traditional seismological applications. We also try to present the links between the experimental data, the observed rotational seismic waves, and their theoretical evaluation and description. In addition, we consider the basic point motions and deformations, and we intend to find the invariant forms to describe such point motions. We believe that there must exist the basic equations for all point motions and deformations, and we derive such relations within a frame of a continuum theory. Thus, in the considered standard asymmetric theory, we include relations not only for the displacement velocities but also for a spin motion and basic point deformations as well. We include here the axial point - formation and twist point deformation represented by the string-string and string-membrane motions. A twist vector is defined here as a vector p- pendicular to the string-string plane and representing its magnitude. It - comes an important counterpart to spin and a key to the presented theory. We show in the forthcoming chapters that the twist motion describes the oscillations of shear axes.

Physics of Asymmetric Continuum: Extreme and Fracture Processes
Physics of Asymmetric Continuum: Extreme and Fracture Processes

Author: Roman Teisseyre

Publisher: Springer

Published: 2008-08-19

Total Pages: 293

ISBN-13: 9783540683544

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Our new monograph has been inspired by the former one, Earthquake Source Asymmetry, Structural Media, and Rotation Effects (R. Teisseyre, M. Takeo, and E. Majewski, eds, Springer 2006). Some problems, c- cerned primarily but not exclusively with the basic theoretical nature, have appeared to us as worthy of further analysis. Thus, in the present mo- graph we intend to develop new theoretical approaches to the theory of continua that go far beyond the traditional seismological applications. We also try to present the links between the experimental data, the observed rotational seismic waves, and their theoretical evaluation and description. In addition, we consider the basic point motions and deformations, and we intend to find the invariant forms to describe such point motions. We believe that there must exist the basic equations for all point motions and deformations, and we derive such relations within a frame of a continuum theory. Thus, in the considered standard asymmetric theory, we include relations not only for the displacement velocities but also for a spin motion and basic point deformations as well. We include here the axial point - formation and twist point deformation represented by the string-string and string-membrane motions. A twist vector is defined here as a vector p- pendicular to the string-string plane and representing its magnitude. It - comes an important counterpart to spin and a key to the presented theory. We show in the forthcoming chapters that the twist motion describes the oscillations of shear axes.

Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution
Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution

Author: Malte Henkel

Publisher: Springer Science & Business Media

Published: 2012-04-05

Total Pages: 200

ISBN-13: 3642279341

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Conformal invariance has been a spectacularly successful tool in advancing our understanding of the two-dimensional phase transitions found in classical systems at equilibrium. This volume sharpens our picture of the applications of conformal invariance, introducing non-local observables such as loops and interfaces before explaining how they arise in specific physical contexts. It then shows how to use conformal invariance to determine their properties. Moving on to cover key conceptual developments in conformal invariance, the book devotes much of its space to stochastic Loewner evolution (SLE), detailing SLE’s conceptual foundations as well as extensive numerical tests. The chapters then elucidate SLE’s use in geometric phase transitions such as percolation or polymer systems, paying particular attention to surface effects. As clear and accessible as it is authoritative, this publication is as suitable for non-specialist readers and graduate students alike.

Physics of Continuous Matter, Second Edition
Physics of Continuous Matter, Second Edition

Author: B. Lautrup

Publisher: CRC Press

Published: 2011-03-22

Total Pages: 698

ISBN-13: 1420077007

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Physics of Continuous Matter: Exotic and Everyday Phenomena in the Macroscopic World, Second Edition provides an introduction to the basic ideas of continuum physics and their application to a wealth of macroscopic phenomena. The text focuses on the many approximate methods that offer insight into the rich physics hidden in fundamental continuum mechanics equations. Like its acclaimed predecessor, this second edition introduces mathematical tools on a "need-to-know" basis. New to the Second Edition This edition includes three new chapters on elasticity of slender rods, energy, and entropy. It also offers more margin drawings and photographs and improved images of simulations. Along with reorganizing much of the material, the author has revised many of the physics arguments and mathematical presentations to improve clarity and consistency. The collection of problems at the end of each chapter has been expanded as well. These problems further develop the physical and mathematical concepts presented. With worked examples throughout, this book clearly illustrates both qualitative and quantitative physics reasoning. It emphasizes the importance in understanding the physical principles behind equations and the conditions underlying approximations. A companion website provides a host of ancillary materials, including software programs, color figures, and additional problems.

Earthquake Research and Analysis
Earthquake Research and Analysis

Author: Sebastiano D'Amico

Publisher: BoD – Books on Demand

Published: 2012-03-02

Total Pages: 474

ISBN-13: 953510134X

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The study of earthquakes plays a key role in order to minimize human and material losses when they inevitably occur. Chapters in this book will be devoted to various aspects of earthquake research and analysis. The different sections present in the book span from statistical seismology studies, the latest techniques and advances on earthquake precursors and forecasting, as well as, new methods for early detection, data acquisition and interpretation. The topics are tackled from theoretical advances to practical applications.

Achievements, History and Challenges in Geophysics
Achievements, History and Challenges in Geophysics

Author: Robert Bialik

Publisher: Springer

Published: 2014-07-14

Total Pages: 419

ISBN-13: 3319075993

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Over the last six decades, the field of geophysics has experienced rapid development. Seismic methods, magnetic studies, hydrology and atmospheric sciences have expanded thanks to a boom in the computer sciences and measurement techniques. The frontiers of geophysics have also expanded, now including research on the polar areas, both Arctic and Antarctic. All these events are clearly reflected in the 60-year-long history of the Institute of Geophysics, Polish Academy of Sciences. This volume describes the most prominent achievements, the history of research and also the future potential of the Institute of Geophysics PAS. It describes measurements in various projects, methods of interpreting scientific data, and last but not least the people who have driven this research in many scientific projects.

Plasma Chemistry
Plasma Chemistry

Author: Alexander Fridman

Publisher: Cambridge University Press

Published: 2008-05-05

Total Pages:

ISBN-13: 1139471732

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Providing a fundamental introduction to all aspects of modern plasma chemistry, this book describes mechanisms and kinetics of chemical processes in plasma, plasma statistics, thermodynamics, fluid mechanics and electrodynamics, as well as all major electric discharges applied in plasma chemistry. Fridman considers most of the major applications of plasma chemistry, from electronics to thermal coatings, from treatment of polymers to fuel conversion and hydrogen production and from plasma metallurgy to plasma medicine. It is helpful to engineers, scientists and students interested in plasma physics, plasma chemistry, plasma engineering and combustion, as well as chemical physics, lasers, energy systems and environmental control. The book contains an extensive database on plasma kinetics and thermodynamics and numerical formulas for practical calculations related to specific plasma-chemical processes and applications. Problems and concept questions are provided, helpful in courses related to plasma, lasers, combustion, chemical kinetics, statistics and thermodynamics, and high-temperature and high-energy fluid mechanics.

Jamming and Rheology
Jamming and Rheology

Author: Andrea J. Liu

Publisher: CRC Press

Published: 2001-02-22

Total Pages: 584

ISBN-13: 9780748408795

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The subject of jamming and rheology is a broad and interdisciplinary one that is generating increasing interest. This book deals with one of the oldest unsolved problems in condensed matter physics - that of the nature of glass transition in supercooled liquids. Jamming and Rheology is a collection of reprinted articles from several fields, ranging from structural glasses to foams and granular materials. Glassy relaxation and constrained dynamics (jamming) occur at all scales, from microscopic to macroscopic - in the glass transition of supercooled liquids, in fluids confined to thin films, in the structural arrest of particles such as granular materials, and in foams which must be driven by an applied stress in order to flow. Because jamming occurs at the transition between where a flow occurs and where motion stops, it is hoped that there may be a universal feature that describes this transition in all systems. This volume shows that the systems described above share many common phenomenological features, and covers work done by a wide range of scientists and technologists working in areas from physics to chemistry to chemical and mechanical engineering.

Dynamics of Asymmetric Dissipative Systems
Dynamics of Asymmetric Dissipative Systems

Author: Yuki Sugiyama

Publisher: Springer Nature

Published: 2023-11-15

Total Pages: 322

ISBN-13: 9819918707

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This book provides the dynamics of non-equilibrium dissipative systems with asymmetric interactions (Asymmetric Dissipative System; ADS). Asymmetric interaction breaks "the law of action and reaction" in mechanics, and results in non-conservation of the total momentum and energy. In such many-particle systems, the inflow of energy is provided and the energy flows out as dissipation. The emergences of non-trivial macroscopic phenomena occur in the non-equilibrium energy balance owing to the effect of collective motions as phase transitions and bifurcations. ADS are applied to the systems of self-driven interacting particles such as traffic and granular flows, pedestrians and evacuations, and collective movement of living systems. The fundamental aspects of dynamics in ADS are completely presented by a minimal mathematical model, the Optimal Velocity (OV) Model. Using that model, the basics of mathematical and physical mechanisms of ADS are described analytically with exact results. The application of 1-dimensional motions is presented for traffic jam formation. The mathematical theory is compared with empirical data of experiments and observations on highways. In 2-dimensional motion pattern formations of granular media, pedestrians, and group formations of organisms are described. The common characteristics of emerged moving objects are a variety of patterns, flexible deformations, and rapid response against stimulus. Self-organization and adaptation in group formations and control of group motions are shown in examples. Another OV Model formulated by a delay differential equation is provided with exact solutions using elliptic functions. The relations to soliton systems are described. Moreover, several topics in ADS are presented such as the similarity between the spatiotemporal patterns, violation of fluctuation dissipation relation, and a thermodynamic function for governing the phase transition in non-equilibrium stationary states.