Jamming transition of a two-dimensional traffic dynamics with consideration of optimal current difference

2013 ◽  
Vol 377 (34-36) ◽  
pp. 2027-2033 ◽  
Author(s):  
Arvind Kumar Gupta ◽  
Poonam Redhu
Keyword(s):  
Two Dimensional ◽  
Traffic Dynamics ◽  
Jamming Transition ◽  
Optimal Current ◽  
Optimal Current Difference ◽  
Current Difference

Multiple optimal current difference effect in the lattice traffic flow model

2014 ◽  
Vol 28 (11) ◽  
pp. 1450091 ◽  
Author(s):  
D. H. Sun ◽  
M. Zhang ◽  
T. Chuan
Keyword(s):  
Traffic Flow ◽  
Linear Stability ◽  
Mkdv Equation ◽  
Linear Stability Theory ◽  
Traffic Jam ◽  
Traffic Jams ◽  
Propagation Behavior ◽  
Optimal Current ◽  
Optimal Current Difference ◽  
Current Difference

Kerner and Konhäuser study moving jam dynamics first discovered in 1993 in Ref. 1. In light of their previous work, a new lattice hydrodynamic model is presented with consideration of the effect of multiple optimal current difference. To investigate the influences of new consideration on traffic jams, the linear stability analysis of the new model is conducted by employing the linear stability theory. Theoretical analysis result shows that the new consideration can stabilize traffic flow. By means of nonlinear analysis method, a modified Korteweg–deVries (mKdV) equation near the critical point is constructed and solved. The propagation behavior of traffic jam can thus be described by the kink–antikink soliton solution for the mKdV equation. Numerical simulation result shows that the effect of the multiple optimal current differences can suppress the emergence of traffic jams and the result is in good agreement with the analytical results.

Fluctuations, correlations and transitions in granular materials: statistical mechanics for a non-conventional system

2007 ◽  
Vol 366 (1865) ◽  
pp. 493-504 ◽  
Author(s):  
R.P Behringer ◽  
Karen E Daniels ◽  
Trushant S Majmudar ◽  
Matthias Sperl
Keyword(s):  
Statistical Mechanics ◽  
Granular Materials ◽  
Granular Systems ◽  
Dimensional System ◽  
Two Dimensional ◽  
Conventional System ◽  
Dynamical Transition ◽  
Jamming Transition ◽  
System Experiment ◽  
Two Dimensional System

In this work, we first review some general properties of dense granular materials. We are particularly concerned with a statistical description of these materials, and it is in this light that we briefly describe results from four representative studies. These are: experiment 1: determining local force statistics, vector forces, force distributions and correlations for static granular systems; experiment 2: characterizing the jamming transition, for a static two-dimensional system; experiment 3: characterizing plastic failure in dense granular materials; and experiment 4: a dynamical transition where the material ‘freezes’ in the presence of apparent heating for a sheared and shaken system.

Critical point of jamming transition in two-dimensional monodisperse systems

2020 ◽  
Vol 43 (12) ◽  
Author(s):  
Liping Deng ◽  
Cai Zhao ◽  
Zhenhuan Xu ◽  
Wen Zheng
Keyword(s):  
Critical Point ◽  
Two Dimensional ◽  
Jamming Transition

scholarly journals Hybrid Stochastic Kinetic Description of Two-Dimensional Traffic Dynamics

2018 ◽  
Vol 78 (5) ◽  
pp. 2737-2762 ◽  
Author(s):  
Michael Herty ◽  
Andrea Tosin ◽  
Giuseppe Visconti ◽  
Mattia Zanella
Keyword(s):  
Two Dimensional ◽  
Kinetic Description ◽  
Traffic Dynamics

scholarly journals A computational method to simulate mono- and poly-disperse two-dimensional foams flowing in obstructed channel

2021 ◽  
Author(s):  
Thales Carl Lavoratti ◽  
Sascha Heitkam ◽  
Uwe Hampel ◽  
Gregory Lecrivain
Keyword(s):  
Field Model ◽  
Flow Direction ◽  
Phase Field Model ◽  
Computational Method ◽  
Two Dimensional ◽  
Repulsive Potential ◽  
Static Limit ◽  
Jamming Transition ◽  
Wide Range ◽  
Gas Fractions

AbstractA modified phase-field model is presented to numerically study the dynamics of flowing foam in an obstructed channel. The bubbles are described as smooth deformable fields interacting with one another through a repulsive potential. A strength of the model lies in its ability to simulate foams with wide range of gas fraction. The foam motion, composed of about hundred two-dimensional gas elements, was analyzed for gas fractions ranging from 0.4 to 0.99, that is below and beyond the jamming transition. Simulations are preformed near the quasi-static limit, indicating that the bubble rearrangement in the obstructed channel is primarily driven by the soft collisions and not by the hydrodynamics. Foam compression and relaxation upstream and downstream of the obstacle are reproduced and qualitatively match previous experimental and numerical observations. Striking dynamics, such as bubbles being squeezed by their neighbors in negative flow direction, are also revealed at intermediate gas fractions.

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