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The aim of this work is to analyze the entropy, entropy flux and entropy supply rate of granular fluids within the frameworks of the Boltzmann equation and continuum thermodynamics. It is shown that the entropy inequality for a granular gas…

Statistical Mechanics · Physics 2010-11-17 Gilberto M. Kremer

The concept of entropy in statistical physics is related to the existence of irreversible macroscopic processes. In this work, we explore a recently introduced entropy formula for a class of stochastic processes with more than one absorbing…

Populations and Evolution · Quantitative Biology 2022-10-21 Diogo Costa-Cabanas , Fabio A. C. C. Chalub , Max O. Souza

Collective motion in animal groups, such as swarms of insects, flocks of birds, and schools of fish, are some of the most visually striking examples of emergent behavior. Empirical analysis of these behaviors in experiment or computational…

Soft Condensed Matter · Physics 2021-03-16 Kevin Schultz , Marisel Villafane-Delgado , Elizabeth P. Reilly , Grace M. Hwang , Anshu Saksena

As one of the most widespread social dynamics, cooperative behavior is among the most fascinating collective phenomena. Several animal species, from social insects to human beings, feature social groups altruistically working for a common…

Collectiveness motions of crowd systems have attracted a great deal of attentions in recently years. In this paper, we try to measure the collectiveness of a crowd system by the proposed node clique learning method. The proposed method is a…

Computer Vision and Pattern Recognition · Computer Science 2016-12-20 Weiya Ren

Understanding human mobility from a microscopic point of view may represent a fundamental breakthrough for the development of a statistical physics for cognitive systems and it can shed light on the applicability of macroscopic statistical…

Physics and Society · Physics 2015-01-12 Riccardo Gallotti , Armando Bazzani , Mirko Degli Esposti , Sandro Rambaldi

Crowd studies have gained increasing relevance due to the recurring incidents of crowd crush accidents. In addressing the issue of the crowd's persistent dynamism, this paper explored the macroscopic and microscopic features of pedestrians…

Physics and Society · Physics 2023-11-28 Jinghui Wang , Wei Lv , Huihua Jiang , Zhiming Fang , Jian Ma

Increasing attention is being given to the modeling and simulation of traffic flow and crowd movement, two phenomena that both deal with interactions between pedestrians and cars in many situations. In particular, crowd simulation is…

Multiagent Systems · Computer Science 2019-12-10 Mingliang Xu , Chaochao Li , Pei Lv , Wei Chen , Zhigang Deng , Bing Zhou , Dinesh Manocha

Clogging raises as the principal phenomenon during many evacuation processes of pedestrians in a panic situation. As people push to escape from danger, compression forces may increase to harming levels. Many individuals might fall down,…

Physics and Society · Physics 2017-06-07 F. E. Cornes , G. A. Frank , C. O. Dorso

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

Quantum many-body states that frequently appear in physics often obey an entropy scaling law, meaning that an entanglement entropy of a subsystem can be expressed as a sum of terms that scale linearly with its volume and area, plus a…

Quantum Physics · Physics 2021-05-26 Isaac H. Kim

Many simple natural phenomena are characterized by complex motion that appears random at first glance, but that often displays underlying patterns and behavior that can be clustered in groups. The movement of small pieces of paper falling…

Data Analysis, Statistics and Probability · Physics 2022-10-10 Arthur A. B. Pessa , Matjaz Perc , Haroldo V. Ribeiro

By means of a novel variational approach we study ergodic properties of a model of a multi lane traffic flow, considered as a (deterministic) wandering of interacting particles on an infinite lattice. For a class of initial configurations…

Chaotic Dynamics · Physics 2007-05-23 Michael Blank

Recent experimental studies have shown that confinement can profoundly affect self-organization in semi-dilute active suspensions, leading to striking features such as the formation of steady and spontaneous vortices in circular domains and…

Fluid Dynamics · Physics 2016-08-25 Maxime Theillard , Roberto Alonso-Matilla , David Saintillan

In this contribution, we introduce a versatile formalism to derive unified two-phase models describing both the separated and disperse regimes. It relies on the stationary action principle and interface geometric variables. The main ideas…

Fluid Dynamics · Physics 2025-10-02 Arthur Loison , Teddy Pichard , Samuel Kokh , Marc Massot

Port-Hamiltonian systems (PHS) theory is a recent but already well-established modelling approach for non-linear physical systems. Some studies have shown lately that PHS frameworks are relevant for modelling and control of swarm and…

Physics and Society · Physics 2023-01-09 Antoine Tordeux , Claudia Totzeck

Recent advances in modeling and control of crowds of pedestrians are briefly surveyed in this paper. Possibilities of applying fractional calculus in the modeling of crowd of pedestrians have been shortly reviewed and discussed from…

Physics and Society · Physics 2015-06-18 Ke-cai Cao , YangQuan Chen , Dan Stuart , Dong Yue

Symmetric random walks in $R^d$ and $Z^d$ are considered. It is assumed that the jump distribution density has moderate tails, i.e., several density moments are finite, including the second one. The global (for all $x$ and $t$) asymptotic…

Probability · Mathematics 2019-07-16 S. Molchanov , B. Vainberg

We provide a bird's eye view on developments in analyzing the long time, large crowd behavior of Cucker-Smale alignment dynamics. We consider a class of (fully-)discrete models, paying particular attention to general alignment protocols in…

Dynamical Systems · Mathematics 2023-06-06 Eitan Tadmor

Current crowd counting algorithms are only concerned about the number of people in an image, which lacks low-level fine-grained information of the crowd. For many practical applications, the total number of people in an image is not as…

Computer Vision and Pattern Recognition · Computer Science 2021-02-24 Jia Wan , Nikil Senthil Kumar , Antoni B. Chan