کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
979031 933317 2010 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Freezing transition in a four-directional traffic model for facing and crossing pedestrian flow
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Freezing transition in a four-directional traffic model for facing and crossing pedestrian flow
چکیده انگلیسی

We study the traffic behavior in the facing and crossing traffic of pedestrians numerically and analytically. There are four kinds of walkers, those moving to east, to west, to north, and to south. We present the mean-field approximation (MFA) model for the four-directional traffic. The model is described in terms of four nonlinear difference equations. The excluded-volume effect and directionality are taken into account. The fundamental diagrams (current–density diagrams) are derived. When pedestrian density is higher than a critical value, the dynamical phase transition occurs from the free flow to the frozen (stopping) state. The critical density is derived by using the linear stability analysis. The velocity and current (flow) at the steady state are derived analytically. The analytical result is consistent with that obtained by the numerical simulation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 389, Issue 8, 15 April 2010, Pages 1729–1738
نویسندگان
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