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We propose a framework for constructing microscopic traffic models from microscopic acceleration patterns that can in principle be experimental measured and proper averaged. The exact model thus obtained can be used to justify the…

Adaptation and Self-Organizing Systems · Physics 2015-04-07 Bo Yang , Xihua Xu , John Z. F. Pang , Christopher Monterola

In this work, we show that the inverse-$\lambda$ shape in the fundamental diagram of traffic flow can be produced dynamically by a simple nonlinear mesoscopic model with stochastic noises. The proposed model is based on the gas-kinetic…

Physics and Society · Physics 2017-09-28 Wei-Liang Qian , Adriano F. Siqueira , Romuel F. Machado , Kai Lin , Ted William Grant

Despite the importance of urban traffic flows, there are only a few theoretical approaches to determine fundamental relationships between macroscopic traffic variables such as the traffic density, the utilization, the average velocity, and…

Physics and Society · Physics 2009-11-13 Dirk Helbing

We use Monte Carlo and molecular dynamics simulations to study phase behavior and transport properties in a symmetric binary fluid where particles interact via Lennard-Jones potential. Our results for the critical behavior of collective…

Statistical Mechanics · Physics 2018-03-09 Sutapa Roy , Subir K. Das

We study a message passing model, applicable also to traffic problems. The model is implemented in a discrete lattice, where particles move towards their destination, with fluctuations around the minimal distance path. A repulsive…

Condensed Matter · Physics 2009-10-28 I. Campos , A. Tarancon , F. Clerot , L. A. Fernandez

In this paper, we propose a kinetic model of traffic flow with uncertain binary interactions, which explains the scattering of the fundamental diagram in terms of the macroscopic variability of aggregate quantities, such as the mean speed…

Adaptation and Self-Organizing Systems · Physics 2021-06-02 Andrea Tosin , Mattia Zanella

The dynamics of a passive scalar plume in a turbulent boundary layer is experimentally investigated via vertical turbulent transport time-series. Data are acquired in a rough-wall turbulent boundary layer that develops in a recirculating…

We present a new fluid-dynamical model of traffic flow. This model generalizes the model of Aw and Rascle [SIAM J. Appl. Math. 60 916-938] and Greenberg [SIAM J. Appl. Math 62 729-745] by prescribing a more general source term to the…

Statistical Mechanics · Physics 2007-05-23 Florian Siebel , Wolfram Mauser

Pulsatile flows are common in nature and in applications, but their stability and transition to turbulence are still poorly understood. Even in the simple case of pipe flow subject to harmonic pulsation, there is no consensus among…

Fluid Dynamics · Physics 2019-02-20 Duo Xu , Marc Avila

Scaling of the mean velocity profiles has been studied by many researchers, since it provides a template of universal dynamical patterns across a range of Reynolds numbers. Various normalization schemes have been shown in the past, some…

Fluid Dynamics · Physics 2024-12-04 T. -W. Lee

Granular flows due to simultaneous vertical and horizontal excitations of a flat-bottomed cylindrical pan are investigated using event-driven molecular dynamics simulations. In agreement with recent experimental results, we observe a…

Materials Science · Physics 2009-11-11 Oleh Baran , John J. Drozd , Robert J. Martinuzzi , Peter H. Poole

Directed percolation (DP), a universality class of continuous phase transitions, has recently been established as a possible route to turbulence in subcritical wall-bounded flows. In canonical straight pipe or planar flows, the transition…

Fluid Dynamics · Physics 2024-07-03 Sébastien Gomé , Aliénor Rivière , Laurette S. Tuckerman , Dwight Barkley

Universal conductance fluctuations are usually observed in the form of aperiodic oscillations in the magnetoresistance of thin wires as a function of the magnetic field B. If such oscillations are completely random at scales exceeding…

Disordered Systems and Neural Networks · Physics 2021-12-28 I. M. Suslov

To study gap acceptance behaviour one needs the distribution (or probability density function) of gaps in the opposing stream. Further, in these times of widespread availability of large computing powers, traffic simulation has emerged as a…

Applications · Statistics 2025-12-10 Ankita Sharma , Partha Chakroborty , Pranamesh Chakraborty

A uniform representation of the mean turbulent velocity profile in the sum of a wall function and a wake function is applied to an open channel, quantitatively determining its components. The open channel is thus found to coherently fit in…

Fluid Dynamics · Physics 2024-01-26 Paolo Luchini

Wall turbulence consists of various sizes of vortical structures that induce flow circulation around a wide range of closed Eulerian loops. Here we investigate the multiscale properties of circulation around such loops in statistically…

Fluid Dynamics · Physics 2025-06-11 Peng-Yu Duan , Xi Chen , Katepalli R. Sreenivasan

In this paper, we present a new approach that generalizes the existing second-order hydrodynamic traffic models. In the proposed approach, we use the expression for the relative velocity of disturbances propagation in traffic flow. We show…

The two most commonly used methods to model the behaviour of granular flows are discrete element and continuum mechanics simulations. These approaches concentrate on the deterministic description of particle or bulk material motion. Unlike…

Soft Condensed Matter · Physics 2025-01-15 Benjy Marks , Shivakumar Athani , Itai Einav

We propose a nonlinear random walk model to describe the dynamics of dense contaminant plumes in porous media. A coupling between concentration and velocity fields is found, so that transport displays non-Fickian features. The qualitative…

Statistical Mechanics · Physics 2009-04-17 Andrea Zoia , Christelle Latrille , Alain Cartalade

Understanding the flow behavior of complex concentrated slurries is of tremendous importance for industrial waste management. In this study, the transport of three-phase oil sands tailings in a horizontal pipeline is simulated via the…

Fluid Dynamics · Physics 2025-07-17 Mohsen Sadeghi , Somasekhara Goud Sontti , Enzu Zheng , Xuehua Zhang
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