2015
DOI: 10.1103/physreve.92.042809
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Jamming transitions in force-based models for pedestrian dynamics

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 mo… Show more

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Cited by 29 publications
(17 citation statements)
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References 53 publications
(90 reference statements)
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“…In contrast to the case of localized jam, the low efficiency area begins to extend towards the left boundary and then the local efficiency remains low for a long period of time over a spatially extended area. In the low-efficiency area, some passersby move while others are at near standstill, and consequently stop-and-go motions can be observed as reported in previous studies [31,59,60]. Figure 6 shows the presence of stop-and-go motions near the at- traction.…”
Section: B Jam Patterns In Unidirectional Flowsupporting
confidence: 71%
See 1 more Smart Citation
“…In contrast to the case of localized jam, the low efficiency area begins to extend towards the left boundary and then the local efficiency remains low for a long period of time over a spatially extended area. In the low-efficiency area, some passersby move while others are at near standstill, and consequently stop-and-go motions can be observed as reported in previous studies [31,59,60]. Figure 6 shows the presence of stop-and-go motions near the at- traction.…”
Section: B Jam Patterns In Unidirectional Flowsupporting
confidence: 71%
“…Parisi et al [30] introduced the respect area, which reserves a space on the order of pedestrian radius, in order to suppress overlapping among pedestrians. Later, Chraibi et al [31] proposed an interpersonal repulsion model that can prevent overlapping in one dimensional pedestrian flow. In their models, the driving force term becomes inactive when a pedestrian does not have enough room for stride.…”
Section: A Desired Walking Speedmentioning
confidence: 99%
“…5). Yet, contrary to the unstable deterministic approaches, there are no generic problems like collisions and motion backward (see for instance [47,48,59] or [60,Chap. 15]).…”
Section: Stochastic Optimal Velocity Modelsmentioning
confidence: 99%
“…This would also avoid many of the artefacts observed in force-based models (see e.g. [47] and references therein) which are often a consequence of strong inertia effects. In future studies we expect an even better agreement with empirical data when more realistic optimal velocity functions are used in the model.…”
Section: Discussionmentioning
confidence: 99%