Phase-space analysis for hydrodynamic traffic models

被引：11

作者：

Saavedra, P. ^{[1
]}

Velasco, R. M. ^{[2
]}

机构：

[1] Univ Autonoma Metropolitana Iztapalapa, Dept Math, Iztapalapa 09340, Mexico

[2] Univ Autonoma Metropolitana Iztapalapa, Dept Phys, Iztapalapa 09340, Mexico

来源：

PHYSICAL REVIEW E | 2009年 / 79卷 / 06期

关键词：

granular flow; hydrodynamics; Navier-Stokes equations; phase space methods; traffic; FLOW; PHYSICS;

D O I：

10.1103/PhysRevE.79.066103

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

This work is devoted to the study of steady states in two hydrodynamic traffic models. The first model to be analyzed is the Kerner-Konhaumluser model and the second is called kinetic Navier-Stokes model. The study is made through an analysis in the phase space. Taking into account the analogy with the description of the one-particle motion, we can give a sensible meaning to the dynamical functions which determine the stability of the steady states. Lastly, we constructed the phase plane paths in several cases for both models.

引用

页数：10

共 21 条

[11] Steady-state solutions of hydrodynamic traffic models
Lee, HK
Lee, HW
Kim, D
[J]. PHYSICAL REVIEW E, 2004, 69 (01): : 8
[12] Cellular automata models of road traffic
Maerivoet, S
De Moor, B
[J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2005, 419 (01): : 1 - 64
[13] MARQUES W, COMMUNICATION
[14] An alternative model in traffic flow equations
Mendes, A. R.
Velasco, R. M.
[J]. TRANSPORTATION RESEARCH PART B-METHODOLOGICAL, 2008, 42 (09) : 782 - 797
[15] The physics of traffic jams
Nagatani, T
[J]. REPORTS ON PROGRESS IN PHYSICS, 2002, 65 (09) : 1331 - 1386
[16] BOLTZMANN-LIKE TREATMENTS FOR TRAFFIC FLOW - CRITICAL REVIEW OF BASIC MODEL AND AN ALTERNATIVE PROPOSAL FOR DILUTE TRAFFIC ANALYSIS
PAVERIFONTANA, SL
[J]. TRANSPORTATION RESEARCH, 1975, 9 (04): : 225 - 235
[17] Macroscopic dynamics of multilane traffic
Shvetsov, V
Helbing, D
[J]. PHYSICAL REVIEW E, 1999, 59 (06): : 6328 - 6339
[18] Velasco R.M., 2008, QUAL THEOR DYN SYST, V7, P237, DOI [10.1007/s12346- 008-0014-1, DOI 10.1007/S12346-008-0014-1]
[19] Navier-Stokes-like equations for traffic flow
Velasco, RM
Marques, W
[J]. PHYSICAL REVIEW E, 2005, 72 (04):
[20] Second-order continuum traffic flow model
Wagner, C
Hoffmann, C
Sollacher, R
Wagenhuber, J
Schurmann, B
[J]. PHYSICAL REVIEW E, 1996, 54 (05) : 5073 - 5085

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