Journal de Physique I

Exact stationary state for an asymmetric exclusion process with fully parallel dynamics

Jan de Gier and Bernard Nienhuis
Physical Review E 59 (5) 4899 (1999)
https://doi.org/10.1103/PhysRevE.59.4899

TDGL and MKdV equations for jamming transition in the lattice models of traffic

Takashi Nagatani
Physica A: Statistical Mechanics and its Applications 264 (3-4) 581 (1999)
https://doi.org/10.1016/S0378-4371(98)00466-X

Dynamic states of a continuum traffic equation with on-ramp

H. Lee, H.-W. Lee and D. Kim
Physical Review E 59 (5) 5101 (1999)
https://doi.org/10.1103/PhysRevE.59.5101

Jamming Transition in Cellular Automaton Models for Pedestrians on Passageway

Minoru Fukui and Yoshihiro Ishibashi
Journal of the Physical Society of Japan 68 (11) 3738 (1999)
https://doi.org/10.1143/JPSJ.68.3738

Cellular automata simulating experimental properties of traffic flow

Dirk Helbing and Michael Schreckenberg
Physical Review E 59 (3) R2505 (1999)
https://doi.org/10.1103/PhysRevE.59.R2505

Chaotic jam and phase transition in traffic flow with passing

Takashi Nagatani
Physical Review E 60 (2) 1535 (1999)
https://doi.org/10.1103/PhysRevE.60.1535

Cellular Automata Microsimulation of Bidirectional Pedestrian Flows

Victor J. Blue and Jeffrey L. Adler
Transportation Research Record: Journal of the Transportation Research Board 1678 (1) 135 (1999)
https://doi.org/10.3141/1678-17

Experimental study of a granular flow in a vertical pipe: A spatiotemporal analysis

Jean-Luc Aider, Nathalie Sommier, Tareck Raafat and Jean-Pierre Hulin
Physical Review E 59 (1) 778 (1999)
https://doi.org/10.1103/PhysRevE.59.778

Two-lane traffic rules for cellular automata: A systematic approach

Kai Nagel, Dietrich Wolf, Peter Wagner and Patrice Simon
Physical Review E 58 (2) 1425 (1998)
https://doi.org/10.1103/PhysRevE.58.1425

Time-dependent Ginzburg–Landau equation for the jamming transition in traffic flow

Takashi Nagatani
Physica A: Statistical Mechanics and its Applications 258 (1-2) 237 (1998)
https://doi.org/10.1016/S0378-4371(98)00211-8

Modified KdV equation for jamming transition in the continuum models of traffic

Takashi Nagatani
Physica A: Statistical Mechanics and its Applications 261 (3-4) 599 (1998)
https://doi.org/10.1016/S0378-4371(98)00347-1

Burgers equation for kinetic clustering in traffic flow

Takashi Nagatani, Heike Emmerich and Ken Nakanishi
Physica A: Statistical Mechanics and its Applications 255 (1-2) 158 (1998)
https://doi.org/10.1016/S0378-4371(98)00082-X

L. Santen, J. Esser, L. Neubert, J. Wahle, A. Schadschneider and M. Schreckenberg
301 (1998)
https://doi.org/10.1108/9780585474182-029

N-species stochastic models with boundaries and quadratic algebras

F C Alcaraz, S Dasmahapatra and V Rittenberg
Journal of Physics A: Mathematical and General 31 (3) 845 (1998)
https://doi.org/10.1088/0305-4470/31/3/004

L. Santen, J. Esser, L. Neubert, J. Wahle, A. Schadschneider and M. Schreckenberg
301 (1998)
https://doi.org/10.1016/B978-008043430-8/50029-0

A five-vertex model interpretation of one-dimensional traffic flow

J G Brankov and M Schreckenberg
Journal of Physics A: Mathematical and General 31 (9) 2133 (1998)
https://doi.org/10.1088/0305-4470/31/9/005

Kink Solution in a Fluid Model of Traffic Flow

Shigeaki Wada and Hisao Hayakawa
Journal of the Physical Society of Japan 67 (3) 763 (1998)
https://doi.org/10.1143/JPSJ.67.763

Exact results for car accidents in a traffic model

Ding-wei Huang
Journal of Physics A: Mathematical and General 31 (29) 6167 (1998)
https://doi.org/10.1088/0305-4470/31/29/008

Statistical mechanical approach to cellular automaton models of highway traffic flow

Bing-Hong Wang, Y.R. Kwong and P.M. Hui
Physica A: Statistical Mechanics and its Applications 254 (1-2) 122 (1998)
https://doi.org/10.1016/S0378-4371(98)00027-2

Steady-state properties of traffic flows

E Ben-Naim and P L Krapivsky
Journal of Physics A: Mathematical and General 31 (40) 8073 (1998)
https://doi.org/10.1088/0305-4470/31/40/004

Phase transition in a difference equation model of traffic flow

Takashi Nagatani, Ken Nakanishi and Heike Emmerich
Journal of Physics A: Mathematical and General 31 (24) 5431 (1998)
https://doi.org/10.1088/0305-4470/31/24/005

Cellular automaton rules conserving the number of active sites

Nino Boccara and Henryk Fuks
Journal of Physics A: Mathematical and General 31 (28) 6007 (1998)
https://doi.org/10.1088/0305-4470/31/28/014

Statistical mechanical approach to Fukui-Ishibashi traffic flow models

Bing-Hong Wang, Yvonne-Roamy Kwong and Pak-Ming Hui
Physical Review E 57 (3) 2568 (1998)
https://doi.org/10.1103/PhysRevE.57.2568

J. Rajchenbach
421 (1998)
https://doi.org/10.1007/978-94-017-2653-5_31

Phase transition and critical phenomenon in traffic flow model with velocity-dependent sensitivity

Takashi Nagatani
Physica A: Statistical Mechanics and its Applications 253 (1-4) 353 (1998)
https://doi.org/10.1016/S0378-4371(97)00660-2

The diffused city of the Italian North-East: identification of urban dynamics using cellular automata urban models

Elena Besussi, Arnaldo Cecchini and Enrico Rinaldi
Computers, Environment and Urban Systems 22 (5) 497 (1998)
https://doi.org/10.1016/S0198-9715(98)00022-2

Dynamics of Two Equivalent Lanes Traffic Flow Model: Self-Organization of the Slow Lane and Fast Lane

Akinori Awazu
Journal of the Physical Society of Japan 67 (4) 1071 (1998)
https://doi.org/10.1143/JPSJ.67.1071

Relaxation Criteria for Iterated Traffic Simulations

Terence Kelly and Kai Nagel
International Journal of Modern Physics C 09 (01) 113 (1998)
https://doi.org/10.1142/S0129183198000108

Garden of Eden states in traffic models

Andreas Schadschneider and Michael Schreckenberg
Journal of Physics A: Mathematical and General 31 (11) L225 (1998)
https://doi.org/10.1088/0305-4470/31/11/003

Phase transition and critical phenomenon in the power-law model of traffic

Takashi Nagatani
Physica A: Statistical Mechanics and its Applications 248 (3-4) 353 (1998)
https://doi.org/10.1016/S0378-4371(98)00541-X

Coupled Map Traffic Flow Simulator Based on Optimal Velocity Functions

Shin-ichi Tadaki, Macoto Kikuchi, Yuki Sugiyama and Satoshi Yukawa
Journal of the Physical Society of Japan 67 (7) 2270 (1998)
https://doi.org/10.1143/JPSJ.67.2270

Phase diagram of one-dimensional driven lattice gases with open boundaries

Anatoly B Kolomeisky, Gunter M Schütz, Eugene B Kolomeisky and Joseph P Straley
Journal of Physics A: Mathematical and General 31 (33) 6911 (1998)
https://doi.org/10.1088/0305-4470/31/33/003

An Iterative Algorithm to Determine the Dynamic User Equilibrium in a Traffic Simulation Model

C. Gawron
International Journal of Modern Physics C 09 (03) 393 (1998)
https://doi.org/10.1142/S0129183198000303

Delay effect on phase transitions in traffic dynamics

Takashi Nagatani and Ken Nakanishi
Physical Review E 57 (6) 6415 (1998)
https://doi.org/10.1103/PhysRevE.57.6415

Density fluctuations and phase transition in the Nagel-Schreckenberg traffic flow model

S. Lübeck, M. Schreckenberg and K. Usadel
Physical Review E 57 (1) 1171 (1998)
https://doi.org/10.1103/PhysRevE.57.1171

Distribution of time-headways in a particle-hopping model of vehicular traffic

Kingshuk Ghosh, Arnab Majumdar and Debashish Chowdhury
Physical Review E 58 (3) 4012 (1998)
https://doi.org/10.1103/PhysRevE.58.4012

Numerical simulations for traffic-flow models on a decorated square lattice

Tsuyoshi Horiguchi and Takehito Sakakibara
Physica A: Statistical Mechanics and its Applications 252 (3-4) 388 (1998)
https://doi.org/10.1016/S0378-4371(97)00628-6

Asymptotic solutions for a multi-anticipative car-following model

Christoph Wagner
Physica A: Statistical Mechanics and its Applications 260 (1-2) 218 (1998)
https://doi.org/10.1016/S0378-4371(98)00306-9

From modified KdV-equation to a second-order cellular automaton for traffic flow

Heike Emmerich and Takashi Nagatani, Ken Nakanishi
Physica A: Statistical Mechanics and its Applications 254 (3-4) 548 (1998)
https://doi.org/10.1016/S0378-4371(98)00060-0

Thermodynamic theory for the jamming transition in traffic flow

Takashi Nagatani
Physical Review E 58 (4) 4271 (1998)
https://doi.org/10.1103/PhysRevE.58.4271

Jamming transition in a cellular automaton model for traffic flow

B. Eisenblätter, L. Santen, A. Schadschneider and M. Schreckenberg
Physical Review E 57 (2) 1309 (1998)
https://doi.org/10.1103/PhysRevE.57.1309

Analytical results for the steady state of traffic flow models with stochastic delay

Bing-Hong Wang, Lei Wang, P. Hui and Bambi Hu
Physical Review E 58 (3) 2876 (1998)
https://doi.org/10.1103/PhysRevE.58.2876

Origin of Synchronized Traffic Flow on Highways and Its Dynamic Phase Transitions

H. Lee, H.-W. Lee and D. Kim
Physical Review Letters 81 (5) 1130 (1998)
https://doi.org/10.1103/PhysRevLett.81.1130

Cellular automaton model for bidirectional traffic

P. Simon and H. Gutowitz
Physical Review E 57 (2) 2441 (1998)
https://doi.org/10.1103/PhysRevE.57.2441

Simplified cellular automaton model for city traffic

P. Simon and K. Nagel
Physical Review E 58 (2) 1286 (1998)
https://doi.org/10.1103/PhysRevE.58.1286

Local cluster effect in different traffic flow models

Matthias Herrmann and Boris S Kerner
Physica A: Statistical Mechanics and its Applications 255 (1-2) 163 (1998)
https://doi.org/10.1016/S0378-4371(98)00102-2

From Particle Hopping Models to Traffic Flow Theory

Kai Nagel
Transportation Research Record: Journal of the Transportation Research Board 1644 (1) 1 (1998)
https://doi.org/10.3141/1644-01

Jams, Waves, and Clusters

Dirk Helbing and Martin Treiber
Science 282 (5396) 2001 (1998)
https://doi.org/10.1126/science.282.5396.2001

Instability of a Traffic Jam Induced by Slowing Down

Takashi Nagatani
Journal of the Physical Society of Japan 66 (7) 1928 (1997)
https://doi.org/10.1143/JPSJ.66.1928

Experiences with a Simplified Microsimulation for the Dallas/Fort-Worth Area

M. Rickert and K. Nagel
International Journal of Modern Physics C 08 (03) 483 (1997)
https://doi.org/10.1142/S0129183197000400

Microscopic Simulation of Urban Traffic Based on Cellular Automata

J. Esser and M. Schreckenberg
International Journal of Modern Physics C 08 (05) 1025 (1997)
https://doi.org/10.1142/S0129183197000904

1/fαdensity fluctuation at the slugging transition point of granular flows through a pipe

Akio Nakahara and Takeshi Isoda
Physical Review E 55 (4) 4264 (1997)
https://doi.org/10.1103/PhysRevE.55.4264

Solvable optimal velocity models and asymptotic trajectory

Ken Nakanishi, Katsumi Itoh, Yuji Igarashi and Masako Bando
Physical Review E 55 (6) 6519 (1997)
https://doi.org/10.1103/PhysRevE.55.6519

Distribution of Jam Clusters in a Two-Dimensional Cellular Automaton Traffic Flow Model with Open Boundaries

Shin-ichi Tadaki
Journal of the Physical Society of Japan 66 (3) 514 (1997)
https://doi.org/10.1143/JPSJ.66.514

G.J. Milne
260 (1997)
https://doi.org/10.1109/HIPC.1997.634501

Kai Nagel, Marcus Rickert and Christopher L. Barrett
1215 380 (1997)
https://doi.org/10.1007/3-540-62828-2_131

An improved cellular automaton model for traffic flow simulation

H. Emmerich and E. Rank
Physica A: Statistical Mechanics and its Applications 234 (3-4) 676 (1997)
https://doi.org/10.1016/S0378-4371(96)00310-X

Exact steady states of disordered hopping particle models with parallel and ordered sequential dynamics

M R Evans
Journal of Physics A: Mathematical and General 30 (16) 5669 (1997)
https://doi.org/10.1088/0305-4470/30/16/011

Car-oriented mean-field theory for traffic flow models

Andreas Schadschneider and Michael Schreckenberg
Journal of Physics A: Mathematical and General 30 (4) L69 (1997)
https://doi.org/10.1088/0305-4470/30/4/005

Self-organized criticality in 1D stochastic traffic flow model

N.C. Pesheva, D.P. Daneva and J.G. Brankov
Reports on Mathematical Physics 40 (3) 509 (1997)
https://doi.org/10.1016/S0034-4877(97)85900-9

Stochastic master-equation approach to aggregation in freeway traffic

R. Mahnke and N. Pieret
Physical Review E 56 (3) 2666 (1997)
https://doi.org/10.1103/PhysRevE.56.2666

Cellular automata models of single-lane traffic

Márton Sasvári and János Kertész
Physical Review E 56 (4) 4104 (1997)
https://doi.org/10.1103/PhysRevE.56.4104

Effect of Delay in Restarting of Stopped Cars in a One-Dimensional Traffic Model

Minoru Fukui and Yoshihiro Ishibashi
Journal of the Physical Society of Japan 66 (2) 385 (1997)
https://doi.org/10.1143/JPSJ.66.385

Stationary velocity distributions in traffic flows

E. Ben-Naim and P. L. Krapivsky
Physical Review E 56 (6) 6680 (1997)
https://doi.org/10.1103/PhysRevE.56.6680

Successive deceleration in Boltzmann-like traffic equations

C. Wagner
Physical Review E 55 (6) 6969 (1997)
https://doi.org/10.1103/PhysRevE.55.6969

Towards a Unified View of Microscopic Traffic Flow Theories

S. Krauß
IFAC Proceedings Volumes 30 (8) 901 (1997)
https://doi.org/10.1016/S1474-6670(17)43936-X

Traffic flow models with ‘slow‐to‐start’ rules

Andreas Schadschneider and Michael Schreckenberg
Annalen der Physik 509 (7) 541 (1997)
https://doi.org/10.1002/andp.19975090703

CATS: A Complex Adaptive Traffic Simulator

F. Archetti, E. Messina, B. Mishra and F. Stella
IFAC Proceedings Volumes 30 (8) 1271 (1997)
https://doi.org/10.1016/S1474-6670(17)43996-6

Deadlocks and waiting times in traffic jam

Sutapa Mukherji and Somendra M. Bhattacharjee
Physica A: Statistical Mechanics and its Applications 245 (3-4) 534 (1997)
https://doi.org/10.1016/S0378-4371(97)00383-X

Metastable states in a microscopic model of traffic flow

S. Krauss, P. Wagner and C. Gawron
Physical Review E 55 (5) 5597 (1997)
https://doi.org/10.1103/PhysRevE.55.5597

Simple and exactly solvable model for queue dynamics

Yu-barki Sugiyama and Hiroyasu Yamada
Physical Review E 55 (6) 7749 (1997)
https://doi.org/10.1103/PhysRevE.55.7749

Dynamical Evolution of Highway Traffic Flow: from Microscopic to Macroscopic

Wang Bing-hong, Hui Pak-ming and Gu Guo-qing
Chinese Physics Letters 14 (3) 202 (1997)
https://doi.org/10.1088/0256-307X/14/3/012

Car accidents and number of stopped cars due to road blockage on a one-lane highway

N Boccara, H Fuks and Q Zeng
Journal of Physics A: Mathematical and General 30 (10) 3329 (1997)
https://doi.org/10.1088/0305-4470/30/10/012

Realistic multi-lane traffic rules for cellular automata

Peter Wagner, Kai Nagel and Dietrich E. Wolf
Physica A: Statistical Mechanics and its Applications 234 (3-4) 687 (1997)
https://doi.org/10.1016/S0378-4371(96)00308-1

A Navier-Stokes-like traffic model

C. Wagner
Physica A: Statistical Mechanics and its Applications 245 (1-2) 124 (1997)
https://doi.org/10.1016/S0378-4371(97)00182-9

Stochastic traffic model with random deceleration probabilities: queueing and power-law gap distribution

Dmitri V Ktitarev, Debashish Chowdhury and Dietrich E Wolf
Journal of Physics A: Mathematical and General 30 (8) L221 (1997)
https://doi.org/10.1088/0305-4470/30/8/004

Phase transition and scaling in the generalized traffic flow model

Takashi Nagatani
Physica A: Statistical Mechanics and its Applications 246 (3-4) 460 (1997)
https://doi.org/10.1016/S0378-4371(97)00376-2

Path functional theory for optimal transport in steady state urban traffic networks

H. Lehmann
Physica A: Statistical Mechanics and its Applications 247 (1-4) 405 (1997)
https://doi.org/10.1016/S0378-4371(97)00396-8

Strict derivation of mean field equation for one-dimensional traffic flow model

Wang Lei, Wang Bing-hong and Hui Pak-ming
Acta Physica Sinica (Overseas Edition) 6 (11) 829 (1997)
https://doi.org/10.1088/1004-423X/6/11/004

Particle-hopping models of vehicular traffic: Distributions of distance headways and distance between jams

Debashish Chowdhury, Kingshuk Ghosh, Arnab Majumdar, Shishir Sinha and R.B. Stinchcombe
Physica A: Statistical Mechanics and its Applications 246 (3-4) 471 (1997)
https://doi.org/10.1016/S0378-4371(97)00365-8

One-Dimensional Fukui-Ishibashi Traffic Flow Model

Bing-Hong Wang, Lei Wang and P. M. Hui
Journal of the Physical Society of Japan 66 (11) 3683 (1997)
https://doi.org/10.1143/JPSJ.66.3683

D. Weaire, S. Hutzler, G. Verbist and E. Peters
102 315 (1997)
https://doi.org/10.1002/9780470141618.ch5

Asymptotic theory of traffic jams

B. S. Kerner, S. L. Klenov and P. Konhäuser
Physical Review E 56 (4) 4200 (1997)
https://doi.org/10.1103/PhysRevE.56.4200

One-Dimensional Traffic Flow Problems: A Microscopic Approach

B. H. Wang and P. M. Hui
Journal of the Physical Society of Japan 66 (5) 1238 (1997)
https://doi.org/10.1143/JPSJ.66.1238

Dietrich Stauffer
339 (1996)
https://doi.org/10.1007/978-3-642-84868-1_9

Derivation and empirical validation of a refined traffic flow model

Dirk Helbing
Physica A: Statistical Mechanics and its Applications 233 (1-2) 253 (1996)
https://doi.org/10.1016/S0378-4371(96)00228-2

Backbones of traffic jams

Himadri Shikhar Gupta and Ramakrishna Ramaswamy
Journal of Physics A: Mathematical and General 29 (21) L547 (1996)
https://doi.org/10.1088/0305-4470/29/21/003

Particle hopping models and traffic flow theory

Kai Nagel
Physical Review E 53 (5) 4655 (1996)
https://doi.org/10.1103/PhysRevE.53.4655

Experimental features and characteristics of traffic jams

B. S. Kerner and H. Rehborn
Physical Review E 53 (2) R1297 (1996)
https://doi.org/10.1103/PhysRevE.53.R1297

Traffic Flow in 1D Cellular Automaton Model Including Cars Moving with High Speed

Minoru Fukui and Yoshihiro Ishibashi
Journal of the Physical Society of Japan 65 (6) 1868 (1996)
https://doi.org/10.1143/JPSJ.65.1868

Hans J. Herrmann
476 23 (1996)
https://doi.org/10.1007/BFb0105426

Representations of the quadratic algebra and partially asymmetric diffusion with open boundaries

Fabian H L Essler and Vladimir Rittenberg
Journal of Physics A: Mathematical and General 29 (13) 3375 (1996)
https://doi.org/10.1088/0305-4470/29/13/013

Effect of Reduced Randomness on Jam in a Two-Dimensional Traffic Model

Journal of the Physical Society of Japan 65 (6) 1871 (1996)
https://doi.org/10.1143/JPSJ.65.1871

The Kasteleyn model and a cellular automaton approach to traffic flow

J G Brankov, V B Priezzhev, A Schadschneider and M Schreckenberg
Journal of Physics A: Mathematical and General 29 (10) L229 (1996)
https://doi.org/10.1088/0305-4470/29/10/002

The green wave model of two-dimensional traffic: Transitions in the flow properties and in the geometry of the traffic jam

János Török and János Kertész
Physica A: Statistical Mechanics and its Applications 231 (4) 515 (1996)
https://doi.org/10.1016/0378-4371(96)00144-6

Continuous limit of the Nagel-Schreckenberg model

S. Krauss, P. Wagner and C. Gawron
Physical Review E 54 (4) 3707 (1996)
https://doi.org/10.1103/PhysRevE.54.3707

Density Fluctuations in Traffic Flow

Satoshi Yukawa and Macoto Kikuchi
Journal of the Physical Society of Japan 65 (4) 916 (1996)
https://doi.org/10.1143/JPSJ.65.916

David F. Batten
1 (1996)
https://doi.org/10.1007/978-3-642-80266-9_1

Phase Diagram for the Traffic Model of Two One-Dimensional Roads with a Crossing

Yoshihiro Ishibashi and Minoru Fukui
Journal of the Physical Society of Japan 65 (9) 2793 (1996)
https://doi.org/10.1143/JPSJ.65.2793

Flow of Cars Crossing with Unequal Velocities in a Two-Dimensional Cellular Automaton Model

Minoru Fukui, Hirokazu Oikawa and Yoshihiro Ishibashi
Journal of the Physical Society of Japan 65 (8) 2514 (1996)
https://doi.org/10.1143/JPSJ.65.2514

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