Flow difference effect in the lattice hydrodynamic model |
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Authors: | Tian Jun-Fang Jia Bin Li Xing-Gang and Gao Zi-You |
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Institution: | MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China |
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Abstract: | In this paper, a new lattice hydrodynamic model based on
Nagatani's model Nagatani T 1998 Physica A 261 599] is
presented by introducing the flow difference effect. The stability
condition for the new model is obtained by using the linear
stability theory. The result shows that considering the flow
difference effect leads to stabilization of the system compared
with the original lattice hydrodynamic model. The jamming
transitions among the freely moving phase, the coexisting phase, and
the uniform congested phase are studied by nonlinear analysis.
The modified KdV equation near the critical point is derived to
describe the traffic jam, and kink--antikink soliton solutions
related to the traffic density waves are obtained. The simulation
results are consistent with the theoretical analysis for the new
model. |
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Keywords: | lattice hydrodynamic model traffic flow flow difference |
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