Journal
NONLINEAR DYNAMICS
Volume 77, Issue 4, Pages 1245-1250Publisher
SPRINGER
DOI: 10.1007/s11071-014-1374-5
Keywords
Traffic flow; Phase transition; TDGL equation; mKdV equation
Categories
Funding
- National Natural Science Foundation of China [11372166, 11372147, 61074142]
- Natural Science Foundation of ZheJiang Province [Y13A010029]
- K.C. Wong Magna Fund in Ningbo University
Ask authors/readers for more resources
Car-following models are proposed to describe the jamming transition in traffic flow on a highway. In this paper, a new car-following model considering the driver's forecast effect is investigated to describe the traffic jam. The nature of the model is studied using linear and nonlinear analysis method. A thermodynamic theory is formulated to describe the phase transition and critical phenomenon in traffic flow and the time-dependent Ginzburg-Landau (TDGL) equation is derived to describe the traffic flow near the critical point. It is also shown that the modified Korteweg-de Veris (mKdV) equation is derived to describe the traffic jam. The connection between the TDGL and the mKdV equations is given.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available