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Capillary-driven transport offers a simple, self-sustained alternative to externally pumped microfluidic systems, yet achieving precise control of such flows remains challenging. We experimentally and theoretically investigate capillary…

Fluid Dynamics · Physics 2026-03-03 Harsha Desu , Niladri S. Satpathi , Lokesh Malik , Ashis K. Sen

In the optimal velocity model with a time lag, we show that there appear multiple exact solutions in some ranges of car density, describing a uniform flow, a stable and an unstable congested flows. This establishes the presence of…

patt-sol · Physics 2007-05-23 Yuji Igarashi , Katsumi Itoh , Ken Nakanishi , Kazuhiro Ogura , Ken Yokokawa

The collective flow generated in relativistic heavy-ion collisions fluctuates from event to event. The fluctuations lead to a decorrelation of flow vectors measured in separate bins in phase space. These effects have been measured in…

Nuclear Theory · Physics 2024-02-21 Piotr Bozek , Hadi Mehrabpour

In this paper, we introduce and study one-dimensional models for the behavior of pedestrians in a narrow street or corridor. We begin at the microscopic level by formulating a stochastic cellular automata model with explicit rules for…

Probability · Mathematics 2012-09-27 Alina Chertock , Alexander Kurganov , Anthony Polizzi , Ilya Timofeyev

This contribution investigates situations in pedestrian dynamics, where trying to walk the shortest path leads to largely different results than trying to walk the quickest path. A heuristic one-shot method to model the influence of the…

Multiagent Systems · Computer Science 2010-01-20 Tobias Kretz

This study investigates the complex dynamic interactions between two typed populations coexisting within a shared space. We propose both theoretical and numerical study to analyze scenarios where one population (population $1$) must…

Analysis of PDEs · Mathematics 2025-01-28 Mariam Al Khatib , Said Gounane , Noureddine Igbida , Ghadir Jradi

In this study the Voronoi interpolation is used to interpolate a set of points drawn from a topological space with higher homology groups on its filtration. The technique is based on Voronoi tessellation, which induces a natural dual map to…

Computational Geometry · Computer Science 2026-03-24 Luciano Melodia , Richard Lenz

With the increase of the elderly and disabled in the world, the characteristics of pedestrian flow mixed with wheelchair users has being paid more and more attention. In this study, experiments in funnel-shaped bottlenecks were performed to…

Physics and Society · Physics 2020-04-22 Hongliang Pan , Jun Zhang , Weiguo Song

We investigate the behavior of an infinite array of (reverse) von K'arm'an streets. Our primary motivation is to model the wake dynamics in large fish schools. We ignore the fish and focus on the dynamic interaction of multiple wakes where…

Dynamical Systems · Mathematics 2010-05-27 Babak G. Oskouei , Eva Kanso , Paul K. Newton

We study average flow properties in porous media using a two-dimensional network simulator. It models the dynamics of two-phase immiscible bulk flow where film flow can be neglected. The boundary conditions are biperiodic which provide a…

Soft Condensed Matter · Physics 2007-05-23 Henning Arendt Knudsen , Alex Hansen

Pedestrian crowds can very realistically be simulated with a social force model which describes the different influences affecting individual pedestrian motion by a few simple force terms. The model is able to reproduce the emergence of…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing , Peter Molnar

Mixing between two different miscible fluids with a mutual interface must be initiated by fluid transporting across this fluid interface, caused for example by applying an unsteady velocity agitation. In general, there is no necessity for…

Fluid Dynamics · Physics 2016-04-07 Sanjeeva Balasuriya

Recent advances in bottleneck studies have highlighted that different architectural adjustments at the exit may reduce the probability of clogging at the exit thereby enhancing the outflow of the individuals. However, those studies are…

Physics and Society · Physics 2019-03-27 Xiaomeng Shi , Zhirui Ye , Nirajan Shiwakoti , Dounan Tang , Junkai Lin

We introduce a cellular automaton model coupled with a transport equation for flows on graphs. The direction of the flow is described by a switching process where the switching probability dynamically changes according to the value of the…

Cellular Automata and Lattice Gases · Physics 2013-07-02 Pierre Degond , Michael Herty , Jian-Guo Liu

In this thesis we study sets of points in the plane and their Voronoi diagrams, in particular when the points coincide. We bring together two ways of studying point sets that have received a lot of attention in recent years: Voronoi…

Metric Geometry · Mathematics 2007-05-23 Roderik Lindenbergh

Experiments with pedestrians revealed that the geometry of the domain, as well as the incentive of pedestrians to reach a target as fast as possible have a strong influence on the overall dynamics. In this paper, we propose and validate…

Analysis of PDEs · Mathematics 2020-11-06 Michael Fischer , Gaspard Jankowiak , Marie-Therese Wolfram

Understanding the interactions among nodes in a complex network is of great importance, since they disclose how these nodes are cooperatively supporting the functioning of the network. Scientists have developed numerous methods to uncover…

Physics and Society · Physics 2017-09-13 Chengwei Wang , Celso Grebogi , Murilo S. Baptista

We present experimental evidence of multiple blood flow configurations in a relatively simple microfluidic network under constant inlet conditions. We provide evidence of multistability and unsteady dynamics and find good agreement with a…

We present careful numerical convergence studies, using parameterized curves to reach very high resolutions in two dimensions, of a level set method for multiphase curvature motion known as the Voronoi implicit interface method. Our tests…

Numerical Analysis · Mathematics 2019-05-22 Alexander Zaitzeff , Selim Esedoglu , Krishna Garikipati

Various methods to automate traffic data collection have recently been developed by many researchers. A macroscopic data collection through image processing has been proposed. For microscopic traffic flow data, such as individual speed and…

Computer Vision and Pattern Recognition · Computer Science 2016-09-09 Kardi Teknomo , Yasushi Takeyama , Hajime Inamura