Summary
The importance of physical viewpoint for understanding the phenomena of freeway traffic is emphasized using the simulations of a mathematical model and the experiment. The traffic flow is understood as a many-body system of moving particles with the asymmetric interaction and the emergence of jam is the pattern formation as the phase transition of non-equilibrium system by the effect of collective motions.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
M. Bando, K. Hasebe, A. Nakayama, A. Shibata, and Y. Sugiyama. Dynamical model of traffic congestion and numerical simulation. Phys. Rev. E, 51:1035, 1995.
M. Bando, K. Hasebe, A. Nakayama, A. Shibata, and Y. Sugiyama. Structure stability of congestion in traffic dynamics. Japan J. Indust. Appl. Math., 11:203, 1994.
Y. Sugiyama. Dynamical model for congestion of freeway traffic and its structural stability. In D.E. Wolf, M. Schreckenberg, and A. Bachem, editors, Traffic and Granular Flow, page 137. World Scientific, Singapore, 1995.
Y. Sugiyama and A. Nakayama. Modeling, simulation and observations for freeway traffic and pedestrian. In H. Emmerich, B. Nestler, and M. Schreckenberg, editors, Computational physics of transport, and interface dynamics, page 406. Springer-Verlag, 2003.
Y. Sugiyama and A. Nakayama. Understanding “synchronized flow” by optimal velocity model. In P.L. Garrido and J. Marro, editors, Modeling of Complex Systems, page 111. American Institute of Physics, 2003.
M. Mitarai and H. Nakanishi. Spatiotemporal structure of traffic flow with an open boundary. Phys. Rev. Lett., 85:1766, 2000.
M. Mitarai and H. Nakanishi. Convective instability and structure formation in traffic flow. J. Phys. Soc, Jpn., 65:3752, 2000.
M. Koshi, M. Iwasaki, and I. Ohkura. Some findings and overview on vehicular flow characteristics. In V. F. Hurdle and G. N. Stewart, editors, Proceedings of the 8th International Symposium on Transportation and Traffic Flow Theory, page 403. University of Toronto Press, Toronto, 1983.
B.S. Kerner and H. Rehborn. Experimental properties of phase transitions in traffic flow. Phys. Rev. Lett., 79:4030, 1997.
B.S. Kerner. The physics of traffic. Physics World, 12:25, 1999.
Y. Sugiyama and H. Yamada. Aspects of optimal velocity model for traffic flow. In M. Schreckenberg and D.E. Wolf, editors, Traffic and Granular Flow '97, page 301. Springer-Verlag, Singapore, 1998.
P. Berg and E. Wilson. Wave solutions and metastability of the ov model: a bifurcation viewpoint. In this volume. 2005.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Sugiyama, Y. et al. (2005). Observation, Theory and Experiment for Freeway Traffic as Physics of Many-Body System. In: Hoogendoorn, S.P., Luding, S., Bovy, P.H.L., Schreckenberg, M., Wolf, D.E. (eds) Traffic and Granular Flow ’03. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28091-X_4
Download citation
DOI: https://doi.org/10.1007/3-540-28091-X_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25814-8
Online ISBN: 978-3-540-28091-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)