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Author: Yuki Sugiyama
Publisher: Springer Nature
ISBN: 9819918707
Category : Mathematics
Languages : en
Pages : 322
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Book Description
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.
Author: Yuki Sugiyama
Publisher: Springer Nature
ISBN: 9819918707
Category : Mathematics
Languages : en
Pages : 322
Get Book
Book Description
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.
Author: Ulrich Weiss
Publisher: World Scientific
ISBN: 9814374911
Category : Mathematics
Languages : en
Pages : 587
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Book Description
Starting from first principles, this book introduces the fundamental concepts and methods of dissipative quantum mechanics and explores related phenomena in condensed matter systems. Major experimental achievements in cooperation with theoretical advances have brightened the field and brought it to the attention of the general community in natural sciences. Nowadays, working knowledge of dissipative quantum mechanics is an essential tool for many physicists. This book -- originally published in 1990 and republished in 1999 and and 2008 as enlarged second and third editions -- delves significantly deeper than ever before into the fundamental concepts, methods and applications of quantum dissipative systems.This fourth edition provides a self-contained and updated account of the quantum mechanics of open systems and offers important new material including the most recent developments. The subject matter has been expanded by about fifteen percent. Many chapters have been completely rewritten to better cater to both the needs of newcomers to the field and the requests of the advanced readership. Two chapters have been added that account for recent progress in the field. This book should be accessible to all graduate students in physics. Researchers will find this a rich and stimulating source.
Author: Yasuhiro Suzuki
Publisher: Springer Science & Business Media
ISBN: 4431889817
Category : Computers
Languages : en
Pages : 260
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Book Description
This book is the refereed proceedings of the Second International Workshop on Natural Computing, IWNC 2007, held in Noyori Conference Hall, Nagoya University in December 2007. IWNC aims to bring together computer scientists, biologists, mathematicians, electronic engineers, physicists, and humanitarians, to critically assess present findings in the field, and to outline future developments in nature-inspired computing.
Author: Cécile Appert-Rolland
Publisher: Springer Science & Business Media
ISBN: 3540770747
Category : Mathematics
Languages : en
Pages : 758
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Book Description
Covers several research fields dealing with transport. This work covers three main topics including road traffic, granular matter, and biological transport. It considers different points of views including modelling, simulations, experiments, and phenomenological observations.
Author: Ioannis Antoniou
Publisher: John Wiley & Sons
ISBN: 0471234273
Category : Science
Languages : en
Pages : 379
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Book Description
Leading research, perspectives, and analysis of dynamical systems and irreversibility Edited by Nobel Prize winner Ilya Prigogine and renowned authority Stuart A. Rice, the Advances in Chemical Physics series provides a forum for critical, authoritative evaluations in every area of the discipline. In a format that encourages the expression of individual points of view, experts in the field present comprehensive analyses of subjects of interest. Volume 122 collects papers from the XXI Solvay Conference on Physics, dedicated to the exploration of "Dynamical Systems and Irreversibility." Ioannis Antoniou, Deputy Director of the International Solvay Institutes for Physics and Chemistry, edits and assembles this cutting-edge research, including articles such as "Non-Markovian Effects in the Standard Map," "Harmonic Analysis of Unstable Systems," "Age and Age Fluctuations in an Unstable Quantum System," and discussion of many more subjects. Advances in Chemical Physics remains the premier venue for presentations of new findings in its field.
Author: Igor Chueshov
Publisher: Springer
ISBN: 3319229036
Category : Mathematics
Languages : en
Pages : 390
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Book Description
This book is devoted to background material and recently developed mathematical methods in the study of infinite-dimensional dissipative systems. The theory of such systems is motivated by the long-term goal to establish rigorous mathematical models for turbulent and chaotic phenomena. The aim here is to offer general methods and abstract results pertaining to fundamental dynamical systems properties related to dissipative long-time behavior. The book systematically presents, develops and uses the quasi-stability method while substantially extending it by including for consideration new classes of models and PDE systems arising in Continuum Mechanics. The book can be used as a textbook in dissipative dynamics at the graduate level. Igor Chueshov is a Professor of Mathematics at Karazin Kharkov National University in Kharkov, Ukraine.
Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 968
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Book Description
Author: Peter L. Christiansen
Publisher: Manchester University Press
ISBN: 9780719026102
Category : Chaotic behavior in systems
Languages : en
Pages : 702
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Book Description
Author: Valery V. Kozlov
Publisher: Springer Science & Business Media
ISBN: 3642396690
Category : Mathematics
Languages : en
Pages : 486
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Book Description
This book continues the biannual series of conference proceedings, which has become a classical reference resource in traffic and granular research alike. It addresses new developments at the interface between physics, engineering and computational science. Complex systems, where many simple agents, be they vehicles or particles, give rise to surprising and fascinating phenomena. The contributions collected in these proceedings cover several research fields, all of which deal with transport. Topics include highway, pedestrian and internet traffic, granular matter, biological transport, transport networks, data acquisition, data analysis and technological applications. Different perspectives, i.e. modeling, simulations, experiments and phenomenological observations, are considered.
Author: Kay Junge
Publisher: transcript Verlag
ISBN: 3839415896
Category : History
Languages : en
Pages : 257
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Book Description
Although the asymmetrical concepts have been well-known to scholars across the social sciences and humanities, their role in structuring the human world has never been an object of detailed research. 35 years ago Reinhart Koselleck sketched out the historical semantics of the oppositions »Hellenes«/»barbarians«, »Christians«/»pagans« and »Übermensch«/»Untermensch«, but his insights, though eagerly cited, have been rarely developed in a systematic fashion. This volume intends to remedy this situation by bringing together a small number of scholars at the crossroads of history, sociology, literary criticism, linguistics, political science and international studies in order to elaborate on Koselleck's notion of asymmetric counter-concepts and adapt it to current research needs.
