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At the macroscopic scale, many important models of collective motion fall into the class of kinematic flows for which both velocity and diffusion terms depend only on particle density. When total particle numbers are fixed and finite,…

Adaptation and Self-Organizing Systems · Physics 2022-04-12 Jeremy Worsfold , Tim Rogers , Paul Milewski

"Oscillations" occur in quite different kinds of many-particle-systems when two groups of particles with different directions of motion meet or intersect at a certain spot. We present a model of pedestrian motion that is able to reproduce…

Statistical Mechanics · Physics 2014-02-10 Tobias Kretz , Marko Woelki , Michael Schreckenberg

This article studies clogging phenomena using a velocity-based model for pedestrian dynamics. First, a method to identify prolonged clogs in simulations was introduced. Then bottleneck simulations were implemented with different initial and…

Physics and Society · Physics 2021-05-11 Qiancheng Xu , Mohcine Chraibi , Armin Seyfried

We present the Brown Pedestrian Odometry Dataset (BPOD) for benchmarking visual odometry algorithms in head-mounted pedestrian settings. This dataset was captured using synchronized global and rolling shutter stereo cameras in 12 diverse…

Computer Vision and Pattern Recognition · Computer Science 2021-12-28 David Charatan , Hongyi Fan , Benjamin Kimia

We show in detail how three one-body fluctuation profiles, namely the local compressibility, the local thermal susceptibility, and the reduced density, can be obtained from a statistical mechanical many-body description of classical…

Statistical Mechanics · Physics 2026-04-08 Tobias Eckert , Nex C. X. Stuhlmüller , Florian Sammüller , Matthias Schmidt

Stochastic particle--based models are useful tools for describing the collective movement of large crowds of pedestrians in crowded confined environments. Using descriptions based on the simple exclusion process, two populations of…

Statistical Mechanics · Physics 2020-08-26 Emilio N. M. Cirillo , Matteo Colangeli , Adrian Muntean , T. K. Thoa Thieu

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

Porosity and dimension are two useful, but different, concepts that quantify the size of fractal sets and measures. An active area of research concerns understanding the relationship between these two concepts. In this article we will…

Classical Analysis and ODEs · Mathematics 2013-03-19 Pablo Shmerkin

Collective motion - or flocking - is an emergent phenomena that underlies many biological processes of relevance, from cellular migrations to animal groups movement. In this work, we derive scaling relations for the fluctuations of the mean…

Soft Condensed Matter · Physics 2023-02-13 Martino Brambati , Giuseppe Fava , Francesco Ginelli

Consider a system of particles evolving as independent and identically distributed (i.i.d.) random walks. Initial fluctuations in the particle density get translated over time with velocity $\vec{v}$, the common mean velocity of the random…

Probability · Mathematics 2010-09-15 Rohini Kumar

Many methods for modelling spatial processes assume global smoothness properties; such assumptions are often violated in practice. We introduce a method for modelling spatial processes that display heterogeneity or contain discontinuities.…

One of the objectives of understanding pedestrian behavior is to predict the effect of proposed changes in the design or evaluation of pedestrian facilities. We want to know the impact to the user of the facilities, as the design of the…

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

The simulation of vehicular traffic as well as pedestrian dynamics meanwhile both have a decades long history. The success of this conference series, PED and others show that the interest in these topics is still strongly increasing. This…

Multiagent Systems · Computer Science 2009-11-17 Cornelia Boenisch , Tobias Kretz

Motivated by uncertainty quantification in natural transport systems, we investigate an individual-based transport process involving particles undergoing a random walk along a line of point sinks whose strengths are themselves independent…

Statistical Mechanics · Physics 2016-10-26 Matthew J. Russell , Oliver E. Jensen , Tobias Galla

A measure called Physical Complexity is established and calculated for a population of sequences, based on statistical physics, automata theory, and information theory. It is a measure of the quantity of information in an organism's genome.…

Biological Physics · Physics 2011-12-02 Gerard Briscoe , Philippe De Wilde

The increasing urbanization process we have been witnessing in the last decades is accompanied by a significant increase in traffic congestion in cities around the world. The effect of the congestion is represented in the enormous time…

Physics and Society · Physics 2021-11-01 Nimrod Serok , Shlomo Havlin , Efrat Blumenfeld Lieberthal

Robust statistical features have emerged from the microscopic analysis of dense pedestrian flows through a bottleneck, notably with respect to the time gaps between successive passages. We pinpoint the mechanisms at the origin of these…

Physics and Society · Physics 2018-02-14 Alexandre Nicolas , Ioannis Touloupas

In the present paper we give a brief summary of some recent theoretical advances in the treatment of inhomogeneous fluids and methods which have applications in the study of dynamical properties of liquids in situations of extreme…

Statistical Mechanics · Physics 2015-07-15 Umberto Marini Bettolo Marconi , Simone Melchionna

Typical experimental measurement is set up as a study of the system's response to a stationary external excitation. This approach considers any random fluctuation of the signal as spurious contribution which is to be eliminated via…

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