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The contact process is a non-equilibrium Hamiltonian model that, even in one dimension, lacks an exact solution and has been extensively studied via Monte Carlo simulations, both in steady-state and time-dependent scenarios. Although the…

Statistical Mechanics · Physics 2025-04-15 Roberto da Silva , Eliseu Venites Filho , Henrique Almeida Fernandes , Paulo F. Gomes

The Poisson-Nernst-Planck (PNP) diffusional model for the immittance or impedance spectroscopy response of an electrolytic cell in a finite-length situation is extended to a general framework. In this new formalism, the bulk behavior of the…

A substantial fraction of the particulate matter released into the atmosphere by industrial or natural processes corresponds to particles whose aerodynamic diameters are greater than 50 mm. It has been shown that, for these particles, the…

Earth and Planetary Astrophysics · Physics 2012-08-14 Rodolfo G. Cionco , Nancy E. Quaranta , Marta G. Caligaris

Diesel engine particulate matter (PM) is one of the most challenging emission constituents to predict. As engines become cleaner and emissions levels drop, manufacturers need reliable methods to quantify the PM generated by production…

Applications · Statistics 2026-03-16 Maxwell Bolt , Alex Alberts , Akash S. Desai , Peter Meckl , Ilias Bilionis

This paper examines the IDM microscopic car-following model from a dynamical systems perspective, analyzing the effects of delay on congestion formation. Further, a case of mixed-autonomy is considered by controlling one car with…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Trevor McClain , Rahul Bhadani

We rigorously prove a form of disorder-resistance for a class of one-dimensional cellular automaton rules, including some that arise as boundary dynamics of two-dimensional solidification rules. Specifically, when started from a random…

Probability · Mathematics 2015-09-30 Janko Gravner , Alexander E. Holroyd

We propose and study a new one-dimensional traffic flow cellular automaton (CA) model of high speed vehicles with the Fukui-Ishibashi-type acceleration for all cars and the Nagel-Schreckenberg-type (NS) stochastic delay only for the cars…

Statistical Mechanics · Physics 2009-11-07 Lei Wang , Bing-Hong Wang , Bambi Hu

The effect of one on-ramp (entry) and one off-ramp (exit) is investigated numerically in one dimensional-cellular automaton traffic flow model, with open boundary conditions, using parallel dynamics. Our aim in this paper is to study how…

Physics and Society · Physics 2007-05-23 Abdelaziz Mhirech , Assia Alaoui Ismaili , Hamid Ez-Zahraouy

This paper presents a macroscopic fundamental diagram model with volume-delay relationship (MFD-VD) for road traffic networks, by exploring two new data sources: license plate cameras (LPCs) and road congestion indices (RCIs). We derive a…

Physics and Society · Physics 2024-02-09 Ke Han , Tao Huang , Wenbo Fan , Qian Ge , Shihui Dong , Xuting Wang

The last two decades have seen intense scientific and regulatory interest in the health effects of particulate matter (PM). Influential epidemiological studies that characterize chronic exposure of individuals rely on monitoring data that…

Applications · Statistics 2009-06-09 Christopher J. Paciorek , Jeff D. Yanosky , Robin C. Puett , Francine Laden , Helen H. Suh

We investigate the transport of interacting active run-and-tumble particles moving under an external drift force through a periodic array of obstacles for increasing drive amplitudes. For high activity where the system forms a motility…

Soft Condensed Matter · Physics 2024-04-23 C. Reichhardt , C. J. O. Reichhardt

Predicting the occurrence, level and duration of high air pollution concentrations exceeding a given critical level enables researchers to study the health impact of road traffic on local air quality and to inform public policy action.…

Applications · Statistics 2017-05-30 János Gyarmati-Szabó , Leonid V. Bogachev , Haibo Chen

Air pollution constitutes the highest environmental risk factor in relation to heath. In order to provide the evidence required for health impact analyses, to inform policy and to develop potential mitigation strategies comprehensive…

Applications · Statistics 2021-08-23 Matthew L. Thomas , Gavin Shaddick , Daniel Simpson , Kees de Hoogh , James V. Zidek

In most modern cities, traffic congestion is one of the most salient societal challenges. Past research has shown that inserting a limited number of autonomous vehicles (AVs) within the traffic flow, with driving policies learned…

Artificial Intelligence · Computer Science 2023-01-26 Yulin Zhang , William Macke , Jiaxun Cui , Daniel Urieli , Peter Stone

Particle-like objects are observed to propagate and interact in many spatially extended dynamical systems. For one of the simplest classes of such systems, one-dimensional cellular automata, we establish a rigorous upper bound on the number…

Cellular Automata and Lattice Gases · Physics 2009-10-31 Wim Hordijk , Cosma Rohilla Shalizi , James P. Crutchfield

We study the traffic of two types of molecular motors using the two-species symmetric simple exclusion process (ASEP) with periodic boundary conditions and with attachment and detachment of particles. We determine characteristic properties…

Biological Physics · Physics 2009-11-26 Yan Chai , Stefan Klumpp , Melanie J. I. Muller , Reinhard Lipowsky

The acceleration of polarized electron beams in the blowout regime of plasma-based acceleration is explored. An analytical model for the spin precession of single beam electrons, and depolarization rates of zero emittance electron beams, is…

Accelerator Physics · Physics 2011-08-22 J. Vieira , C. -K. Huang , W. B. Mori , L. O. Silva

This study addresses the challenge of estimating traffic states for road links. We propose an innovative approach that leverages partial trajectory data captured by camera-equipped probe vehicles traveling in the opposite lane. The…

Signal Processing · Electrical Eng. & Systems 2025-10-02 Tanay Rastogi , Michele D. Simoni , Anders Karlström

This is a study of localised structures in one-dimensional cellular automata, with the elementary cellular automaton Rule 54 as a guiding example. A formalism for particles on a periodic background is derived, applicable to all…

Cellular Automata and Lattice Gases · Physics 2019-07-16 Markus Redeker

We propose a one-dimensional model of active particles interpolating between quorum sensing models used in the study of motility-induced phase separation (MIPS) and models of congestion of traffic flow on a single-lane highway. Particles…

Statistical Mechanics · Physics 2026-01-08 Eric Bertin , Alexandre Solon