Universität zu Köln

Chraibi, Mohcine ORCID: 0000-0002-0999-6807, Ezaki, Takahiro ORCID: 0000-0003-4175-3028, Tordeux, Antoine ORCID: 0000-0001-5077-0327, Nishinari, Katsuhiro, Schadschneider, Andreas ORCID: 0000-0002-2054-7973 and Seyfried, Armin ORCID: 0000-0001-8888-0978 (2015). Jamming transitions in force-based models for pedestrian dynamics. Phys. Rev. E, 92 (4). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1550-2376

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Abstract

Force-based models describe pedestrian dynamics in analogy to classical mechanics by a system of second order ordinary differential equations. By investigating the linear stability of two main classes of forces, parameter regions with unstable homogeneous states are identified. In this unstable regime it is then checked whether phase transitions or stop-and-go waves occur. Results based on numerical simulations show, however, that the investigated models lead to unrealistic behavior in the form of backwards moving pedestrians and overlapping. This is one reason why stop-and-go waves have not been observed in these models. The unrealistic behavior is not related to the numerical treatment of the dynamic equations but rather indicates an intrinsic problem of this model class. Identifying the underlying generic problems gives indications how to define models that do not show such unrealistic behavior. As an example we introduce a force-based model which produces realistic jam dynamics without the appearance of unrealistic negative speeds for empirical desired walking speeds.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Chraibi, Mohcine UNSPECIFIED orcid.org/0000-0002-0999-6807 UNSPECIFIED Ezaki, Takahiro UNSPECIFIED orcid.org/0000-0003-4175-3028 UNSPECIFIED Tordeux, Antoine UNSPECIFIED orcid.org/0000-0001-5077-0327 UNSPECIFIED Nishinari, Katsuhiro UNSPECIFIED UNSPECIFIED UNSPECIFIED Schadschneider, Andreas UNSPECIFIED orcid.org/0000-0002-2054-7973 UNSPECIFIED Seyfried, Armin UNSPECIFIED orcid.org/0000-0001-8888-0978 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-389891
DOI:	10.1103/PhysRevE.92.042809
Journal or Publication Title:	Phys. Rev. E
Volume:	92
Number:	4
Date:	2015
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1550-2376
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language SIMULATION; VALIDATION; FASTER; STATES Multiple languages Physics, Fluids & Plasmas; Physics, Mathematical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/38989