Mathematical Models of Non-Linear Excitations, Transfer, Dynamics, and Control in Condensed Systems and Other Media

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Publisher : Springer Science & Business Media
ISBN 13 : 1461547997
Total Pages : 415 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Mathematical Models of Non-Linear Excitations, Transfer, Dynamics, and Control in Condensed Systems and Other Media by : Ludmilla A. Uvarova

Download or read book Mathematical Models of Non-Linear Excitations, Transfer, Dynamics, and Control in Condensed Systems and Other Media written by Ludmilla A. Uvarova and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this book are derived from the Third International Conference of the same name, held June 29-July 3, 1998. Topics include: nonlinear exaltations in condensed systems, evolution of complex systems, dynamics and structure of molecular and biomolecular systems, mathematical models of transfer processes in nonlinear systems and numerical modeling and algorithms.

Mathematical Models of Nonlinear Excitations, Transfer, Dynamics and Control in Condensed Systems and Other Media

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (793 download)

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Book Synopsis Mathematical Models of Nonlinear Excitations, Transfer, Dynamics and Control in Condensed Systems and Other Media by :

Download or read book Mathematical Models of Nonlinear Excitations, Transfer, Dynamics and Control in Condensed Systems and Other Media written by and published by . This book was released on 1995 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topics On The Nonlinear Dynamics And Acoustics Of Ordered Granular Media

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Publisher : World Scientific
ISBN 13 : 981322195X
Total Pages : 640 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Topics On The Nonlinear Dynamics And Acoustics Of Ordered Granular Media by : Vakakis Alexander F

Download or read book Topics On The Nonlinear Dynamics And Acoustics Of Ordered Granular Media written by Vakakis Alexander F and published by World Scientific. This book was released on 2017-03-17 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph provides a brief overview of the authors' research in the area of ordered granular media over the last decade. The exposition covers one-dimensional homogeneous and dimer chains in great detail incorporating novel analytical tools and experimental results supporting the analytical and numerical studies. The proposed analytical tools have since been successfully implemented in studying two-dimensional dimers, granular dimers on on-site perturbations, solitary waves in Toda lattices to name a few. The second part of the monograph dwells on weakly coupled homogeneous granular chains from analytical, numerical and experimental perspective exploring the interesting phenomenon of Landau–Zener tunneling in granular media. The final part of the monograph provides a brief introduction to locally resonant acoustic metamaterials incorporating internal rotators and the resulting energy channeling mechanism in unit-cells and in one- and two-dimensional lattices. The monograph provides a comprehensive overview of the research in this interesting domain. However, this exposition is not all exhaustive with regard to equally exciting research by other researchers across the globe, but we provide an exhaustive list of references for the interested readers to further explore in this direction.

Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1402091303
Total Pages : 1030 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems by : Alexander F. Vakakis

Download or read book Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems written by Alexander F. Vakakis and published by Springer Science & Business Media. This book was released on 2008-12-24 with total page 1030 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph evolved over a period of nine years from a series of papers and presentations addressing the subject of passive vibration control of mechanical s- tems subjected to broadband, transient inputs. The unifying theme is Targeted - ergy Transfer – TET, which represents a new and unique approach to the passive control problem, in which a strongly nonlinear, fully passive, local attachment, the Nonlinear Energy Sink – NES, is employed to drastically alter the dynamics of the primary system to which it is attached. The intrinsic capacity of the properly - signed NES to promote rapid localization of externally applied (narrowband) - bration or (broadband) shock energy to itself, where it can be captured and dis- pated, provides a powerful strategy for vibration control and the opens the pos- bility for a wide range of applications of TET, such as, vibration and shock i- lation, passive energy harvesting, aeroelastic instability (?utter) suppression, se- mic mitigation, vortex shedding control, enhanced reliability designs (for ex- ple in power grids) and others. The monograph is intended to provide a thorough explanation of the analytical, computational and experimental methods needed to formulate and study TET in mechanical and structural systems. Several prac- cal engineering applications are examined in detail, and experimental veri?cation and validation of the theoretical predictions are provided as well. The authors also suggest a number of possible future applications where application of TET seems promising. The authors are indebted to a number of sponsoring agencies.

Mathematical Modeling

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Publisher : Springer Science & Business Media
ISBN 13 : 1475733976
Total Pages : 285 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Mathematical Modeling by : Ludmilla A. Uvarova

Download or read book Mathematical Modeling written by Ludmilla A. Uvarova and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains review articles and original results obtained in various fields of modern science using mathematical simulation methods. The basis of the articles are the plenary and some section reports that were made and discussed at the Fourth International Mathematical Simulation Conference, held in Moscow on June 27 through July 1, 2000. The conference was devoted to the following scientific areas: • mathematical and computer discrete systems models; • non-linear excitation in condensed media; • complex systems evolution; • mathematical models in economics; • non-equilibrium processes kinematics; • dynamics and structure of the molecular and biomolecular systems; • mathematical transfer models in non-linear systems; • numerical simulation and algorithms; • turbulence and determined chaos; • chemical physics of polymer. This conference was supported by the Russian Ministry of Education, Russian foundation for Basic Research and Federal Program "Integration". This volume contains the following sections: 1. models of non-linear phenomena in physics; 2. numerical methods and computer simulations; 3. mathematical computer models of discrete systems; 4. mathematical models in economics; 5. non-linear models in chemical physics and physical chemistry; 6. mathematical models of transport processes in complex systems. In Sections One and Five a number of fundamental and sufficiently general problems, concerning real physical and physical-chemical systems simulation, is discussed.

Tractable Models of Solid Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642153720
Total Pages : 310 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Tractable Models of Solid Mechanics by : Oleg V. Gendelman

Download or read book Tractable Models of Solid Mechanics written by Oleg V. Gendelman and published by Springer Science & Business Media. This book was released on 2011-01-04 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes significant tractable models used in solid mechanics - classical models used in modern mechanics as well as new ones. The models are selected to illustrate the main ideas which allow scientists to describe complicated effects in a simple manner and to clarify basic notations of solid mechanics. A model is considered to be tractable if it is based on clear physical assumptions which allow the selection of significant effects and relatively simple mathematical formulations. The first part of the book briefly reviews classical tractable models for a simple description of complex effects developed from the 18th to the 20th century and widely used in modern mechanics. The second part describes systematically the new tractable models used today for the treatment of increasingly complex mechanical objects – from systems with two degrees of freedom to three-dimensional continuous objects.

The Mechanics Of Nonlinear Systems With Internal Resonances

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Publisher : World Scientific
ISBN 13 : 1783260440
Total Pages : 276 pages
Book Rating : 4.7/5 (832 download)

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Book Synopsis The Mechanics Of Nonlinear Systems With Internal Resonances by : Leonid Manevitch

Download or read book The Mechanics Of Nonlinear Systems With Internal Resonances written by Leonid Manevitch and published by World Scientific. This book was released on 2005-05-12 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most important features of nonlinear systems with several degrees of freedom is the presence of internal resonances at certain relations between natural frequencies of different modes. This monograph is the first book devoted predominantly to internal resonances in different mechanical systems including those of practical importance.The main purpose is to consider the internal resonances from the general point of view and to elucidate their role in applied nonlinear dynamics by using an efficient approach based on introducing the complex representation of equations of motion (together with the multiple scale method). Considered here are autonomous and nonautonomous discrete two-degree-of-freedom systems, infinite chains of particles, and continuous systems, including circular rings and cylindrical shells. Specific attention is paid to the case of one-to-one internal resonance in systems with cubic nonlinearities. Steady-state and nonstationary regimes of motion, interaction of the internal and external resonances at forced oscillations, and bifurcations of steady-state modes and their stability are systematically studied./a

Problems of Nonlinear Mechanics and Physics of Materials

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Publisher : Springer
ISBN 13 : 3319922343
Total Pages : 527 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Problems of Nonlinear Mechanics and Physics of Materials by : Igor V. Andrianov

Download or read book Problems of Nonlinear Mechanics and Physics of Materials written by Igor V. Andrianov and published by Springer. This book was released on 2018-07-31 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents contributions on the current problems in a number of topical areas of nonlinear dynamics and physics, written by experts from Russia, Ukraine, Israel, Germany, Poland, Italy, the Netherlands, the USA, and France. The book is dedicated to Professor Leonid I. Manevitch, an outstanding scholar in the fields of Mechanics of Solids, Nonlinear Dynamics, and Polymer Physics, on the occasion of his 80th birthday.

Nonlinear Dynamics of Structures, Systems and Devices

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Publisher : Springer Nature
ISBN 13 : 3030347133
Total Pages : 592 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Nonlinear Dynamics of Structures, Systems and Devices by : Walter Lacarbonara

Download or read book Nonlinear Dynamics of Structures, Systems and Devices written by Walter Lacarbonara and published by Springer Nature. This book was released on 2020-01-29 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first of three volumes from the inaugural NODYCON, held at the University of Rome, in February of 2019, presents papers devoted to Nonlinear Dynamics of Structures, Systems and Devices. The collection features both well-established streams of research as well as novel areas and emerging fields of investigation. Topics in Volume I include multi-scale dynamics: coexistence of multiple time/space scales, large system dynamics; dynamics of structures/industrial machines/equipment/facilities (e.g., cable transportation systems, suspension bridges, cranes, vehicles); nonlinear interactions: parametric vibrations with single/multi-frequency excitations, multiple external and autoparametric resonances in multi-dof systems; nonlinear system identification: parametric/nonparametric identification, data-driven identification; experimental dynamics: benchmark experiments, experimental methods, instrumentation techniques, measurements in harsh environments, experimental validation of nonlinear models; wave propagation, solitons, kinks, breathers; solution methods for pdes: Lie groups, Hirota’s method, perturbation methods, etc; nonlinear waves in media (granular materials, porous materials, materials with memory); composite structures: multi-layer, functionally graded, thermal loading; fluid/structure interaction; nonsmooth and retarded dynamics: systems with impacts, free play, stick-slip, friction hysteresis; nonlinear systems with time and/or space delays; stability of delay differential equations, differential-algebraic equations; space/time reduced-order modeling: enhanced discretization methods, center manifold reduction, nonlinear normal modes, normal forms; fractional-order systems; computational techniques: efficient algorithms, use of symbolic manipulators, integration of symbolic manipulation and numerical methods, use of parallel processors; and multibody dynamics: rigid and flexible multibody system dynamics, impact and contact mechanics, tire modeling, railroad vehicle dynamics, computational multibody dynamics.

Nonlinear Science at the Dawn of the 21st Century

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Publisher : Springer Science & Business Media
ISBN 13 : 3540669183
Total Pages : 460 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Nonlinear Science at the Dawn of the 21st Century by : P.L. Christiansen

Download or read book Nonlinear Science at the Dawn of the 21st Century written by P.L. Christiansen and published by Springer Science & Business Media. This book was released on 2000-03-06 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear science is by now a well established field of research at the interface of many traditional disciplines and draws on the theoretical concepts developed in physics and mathematics. The present volume gathers the contributions of leading scientists to give the state of the art in many areas strongly influenced by nonlinear research, such as superconduction, optics, lattice dynamics, biology and biomolecular dynamics. While this volume is primarily intended for researchers working in the field care, has been taken that it will also be of benefit to graduate students or nonexpert scientist wishing to familiarize themselves with the current status of research.

Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures

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Publisher : CRC Press
ISBN 13 : 1315884887
Total Pages : 1112 pages
Book Rating : 4.3/5 (158 download)

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Book Synopsis Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures by : George Deodatis

Download or read book Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures written by George Deodatis and published by CRC Press. This book was released on 2014-02-10 with total page 1112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures contains the plenary lectures and papers presented at the 11th International Conference on STRUCTURAL SAFETY AND RELIABILITY (ICOSSAR2013, New York, NY, USA, 16-20 June 2013), and covers major aspects of safety, reliability, risk and life-cycle performance of str

Normal Modes and Localization in Nonlinear Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 9401724520
Total Pages : 290 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Normal Modes and Localization in Nonlinear Systems by : Alexander F. Vakakis

Download or read book Normal Modes and Localization in Nonlinear Systems written by Alexander F. Vakakis and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The nonlinear normal modes of a parametrically excited cantilever beam are constructed by directly applying the method of multiple scales to the governing integral-partial differential equation and associated boundary conditions. The effect of the inertia and curvature nonlin earities and the parametric excitation on the spatial distribution of the deflection is examined. The results are compared with those obtained by using a single-mode discretization. In the absence of linear viscous and quadratic damping, it is shown that there are nonlinear normal modes, as defined by Rosenberg, even in the presence of a principal parametric excitation. Furthermore, the nonlinear mode shape obtained with the direct approach is compared with that obtained with the discretization approach for some values of the excitation frequency. In the single-mode discretization, the spatial distribution of the deflection is assumed a priori to be given by the linear mode shape ¢n, which is parametrically excited, as Equation (41). Thus, the mode shape is not influenced by the nonlinear curvature and nonlinear damping. On the other hand, in the direct approach, the mode shape is not assumed a priori; the nonlinear effects modify the linear mode shape ¢n. Therefore, in the case of large-amplitude oscillations, the single-mode discretization may yield inaccurate mode shapes. References 1. Vakakis, A. F., Manevitch, L. I., Mikhlin, Y. v., Pilipchuk, V. N., and Zevin A. A., Nonnal Modes and Localization in Nonlinear Systems, Wiley, New York, 1996.

Nonstationary Resonant Dynamics of Oscillatory Chains and Nanostructures

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Publisher : Springer
ISBN 13 : 9811046662
Total Pages : 436 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Nonstationary Resonant Dynamics of Oscillatory Chains and Nanostructures by : Leonid I. Manevitch

Download or read book Nonstationary Resonant Dynamics of Oscillatory Chains and Nanostructures written by Leonid I. Manevitch and published by Springer. This book was released on 2017-07-25 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book suggests a new common approach to the study of resonance energy transport based on the recently developed concept of Limiting Phase Trajectories (LPTs), presenting applications of the approach to significant nonlinear problems from different fields of physics and mechanics. In order to highlight the novelty and perspectives of the developed approach, it places the LPT concept in the context of dynamical phenomena related to the energy transfer problems and applies the theory to numerous problems of practical importance. This approach leads to the conclusion that strongly nonstationary resonance processes in nonlinear oscillator arrays and nanostructures are characterized either by maximum possible energy exchange between the clusters of oscillators (coherence domains) or by maximum energy transfer from an external source of energy to the chain. The trajectories corresponding to these processes are referred to as LPTs. The development and the use of the LPTs concept a re motivated by the fact that non-stationary processes in a broad variety of finite-dimensional physical models are beyond the well-known paradigm of nonlinear normal modes (NNMs), which is fully justified either for stationary processes or for nonstationary non-resonance processes described exactly or approximately by the combinations of the non-resonant normal modes. Thus, the role of LPTs in understanding and analyzing of intense resonance energy transfer is similar to the role of NNMs for the stationary processes. The book is a valuable resource for engineers needing to deal effectively with the problems arising in the fields of mechanical and physical applications, when the natural physical model is quite complicated. At the same time, the mathematical analysis means that it is of interest to researchers working on the theory and numerical investigation of nonlinear oscillations.

Fractals, Applied Synergetics and Structure Design

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Publisher : Nova Publishers
ISBN 13 : 9781590339640
Total Pages : 272 pages
Book Rating : 4.3/5 (396 download)

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Book Synopsis Fractals, Applied Synergetics and Structure Design by : V. S. Ivanova

Download or read book Fractals, Applied Synergetics and Structure Design written by V. S. Ivanova and published by Nova Publishers. This book was released on 2005 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-linear systems behaviours are discussed in this book from the point of new scientific approaches to the interdiscipline nature of the fractal geometry and synergetics. Fractal analysis, synergetics methods and mathematical design are considered according to actual problems of condensed media physics, mechanics, material science and geology.

Parallel Computational Fluid Dynamics 2000

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Publisher : Gulf Professional Publishing
ISBN 13 : 0080538401
Total Pages : 601 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Parallel Computational Fluid Dynamics 2000 by : C.B. Jenssen

Download or read book Parallel Computational Fluid Dynamics 2000 written by C.B. Jenssen and published by Gulf Professional Publishing. This book was released on 2001-04-27 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: Parallel CFD 2000, the Twelfth in an International series of meetings featuring computational fluid dynamics research on parallel computers, was held May 22-25, 2000 in Trondheim, Norway.Following the trend of the past conferences, areas such as numerical schemes and algorithms, tools and environments, load balancing, as well as interdisciplinary topics and various kinds of industrial applications were all well represented in the work presented. In addition, for the first time in the Parallel CFD conference series, the organizing committee chose to draw special attention to certain subject areas by organizing a number of special sessions.We feel the emphasis of the papers presented at the conference reflect the direction of the research within parallel CFD at the beginning of the new millennium. It seems to be a clear tendency towards increased industrial exploitation of parallel CFD. Several presentations also demonstrated how new insight is being achieved from complex simulations, and how powerful parallel computers now make it possible to use CFD within a broader interdisciplinary setting.Obviously, successful application of parallel CFD still rests on the underlying fundamental principles. Therefore, numerical algorithms, development tools, and parallelization techniques are still as important as when parallel CFD was in is infancy. Furthermore, the novel concepts of affordable parallel computing as well as metacomputing show that exciting developments are still taking place.As is often pointed out however, the real power of parallel CFD comes from the combination of all the disciplines involved: Physics, mathematics, and computer science. This is probably one of the principal reasons for the continued popularity of the Parallel CFD Conferences series, as well as the inspiration behind much of the excellent work carried out on the subject. We hope that the papers in this book, both on an individual basis and as a whole, will contribute to that inspiration. Further details of Parallel CFD'99, as well as other conferences in this series, are available at http://www.parcfd.org

Software Engineering Perspectives in Intelligent Systems

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Publisher : Springer Nature
ISBN 13 : 3030633195
Total Pages : 954 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Software Engineering Perspectives in Intelligent Systems by : Radek Silhavy

Download or read book Software Engineering Perspectives in Intelligent Systems written by Radek Silhavy and published by Springer Nature. This book was released on 2020-12-14 with total page 954 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 4th Computational Methods in Systems and Software 2020 (CoMeSySo 2020) proceedings. Software engineering, computer science and artificial intelligence are crucial topics for the research within an intelligent systems problem domain. The CoMeSySo 2020 conference is breaking the barriers, being held online. CoMeSySo 2020 intends to provide an international forum for the discussion of the latest high-quality research results.

Proceedings of the First Workshop on Biological Physics 2000

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Publisher : World Scientific
ISBN 13 : 9789812811301
Total Pages : 366 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Proceedings of the First Workshop on Biological Physics 2000 by : Virulh Sa-yakanit

Download or read book Proceedings of the First Workshop on Biological Physics 2000 written by Virulh Sa-yakanit and published by World Scientific. This book was released on 2001 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the broad subject of flavor physics, embracing the question of what distinguishes one type of elementary particles from another. The articles range from the forefront of formal theory (treating the physics of extra dimensions) to details of particle detectors. Although special emphasis is placed on the physics of kaons, charmed and beauty particles, top quarks, and neutrinos, the articles also dealing with electroweak physics, quantum chromodynamics, supersymmetry, and dynamical electroweak symmetry breaking. Violations of fundamental symmetries such as time reversal invariance are discussed in the context of neutral kaons, beauty particles, electric dipole moments, and parity violation in atoms. The physics of the Cabibbo-Kobayashi-Maskawa matrix and of quark masses are described in some detail, both from the standpoint of present and future experimental knowledge and from a more fundamental viewpoint, where physicists are still searching for the correct theory