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Dynamics of asymmetric dissipative systems = from traffic jam to collective motion /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Dynamics of asymmetric dissipative systems/ by Yuki Sugiyama.
Reminder of title:	from traffic jam to collective motion /
Author:	Sugiyama, Yuki.
Published:	Singapore :Springer Nature Singapore : : 2023.,
Description:	xviii, 316 p. :illustrations, digital ; : 24 cm.;
Contained By:	Springer Nature eBook
Subject:	System theory - Mathematical models. -
Online resource:	https://doi.org/10.1007/978-981-99-1870-6
ISBN:	9789819918706

Dynamics of asymmetric dissipative systems = from traffic jam to collective motion /
Sugiyama, Yuki.

Dynamics of asymmetric dissipative systemsfrom traffic jam to collective motion /[electronic resource] :by Yuki Sugiyama. - Singapore :Springer Nature Singapore :2023. - xviii, 316 p. :illustrations, digital ;24 cm. - Springer series in synergetics,2198-333X. - Springer series in synergetics..

1. Introduction to Asymmetric Dissipative Systems (ADS) -- 2. Optimal Velocity Model (OV Model) -- 3. Cluster Flow Solutions. 4 -- Phase Diagram of OV Model -- 5 Analysis of Hopf Bifurcation -- 6. Flow-Density Relations -- 7. Application to Traffic Flow -- 8. Two-Dimensional Self-Driven Particles and Flow Patterns -- 9. Relations to Soliton Systems -- 10. Similarity of Temporal and Spatial Patterns in ADS -- 11. Coarse Analysis of Collective Motions by Diffusion Maps -- 12. Adaptive Motions of ADS in Wasserstein Metric Space -- 13. Violation of Fluctuation-Response Relation -- 14. Multiple-Scale Analysis of OV Model -- 15. Summary and Future Perspectives -- References -- Index.

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.

ISBN: 9789819918706

Standard No.: 10.1007/978-981-99-1870-6doiSubjects--Topical Terms:

713779
System theory
--Mathematical models.

LC Class. No.: Q295

Dewey Class. No.: 003

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245 1 0 $a Dynamics of asymmetric dissipative systems $h [electronic resource] : $b from traffic jam to collective motion / $c by Yuki Sugiyama.
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505 0 $a 1. Introduction to Asymmetric Dissipative Systems (ADS) -- 2. Optimal Velocity Model (OV Model) -- 3. Cluster Flow Solutions. 4 -- Phase Diagram of OV Model -- 5 Analysis of Hopf Bifurcation -- 6. Flow-Density Relations -- 7. Application to Traffic Flow -- 8. Two-Dimensional Self-Driven Particles and Flow Patterns -- 9. Relations to Soliton Systems -- 10. Similarity of Temporal and Spatial Patterns in ADS -- 11. Coarse Analysis of Collective Motions by Diffusion Maps -- 12. Adaptive Motions of ADS in Wasserstein Metric Space -- 13. Violation of Fluctuation-Response Relation -- 14. Multiple-Scale Analysis of OV Model -- 15. Summary and Future Perspectives -- References -- Index.
520 $a 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.
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