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In this paper, we propose a numerical investigation of topological interactions in flocking dynamics. Starting from a microscopic description of the phenomena, mesoscopic and macroscopic models have been previously derived under specific…

Analysis of PDEs · Mathematics 2025-12-30 Marta Menci , Thierry Paul , Stefano Rossi , Tommaso Tenna

Urban mobility models are essential tools for understanding and forecasting how people and goods move within cities, which is vital for transportation planning. The spatial scale at which urban mobility is analysed is a crucial determinant…

Physics and Society · Physics 2026-03-06 Rakhi Manohar Mepparambath , Hoai Nguyen Huynh

Understanding how internal community structure shapes the course of epidemics remains a fundamental challenge in modeling real-world populations. Standard metapopulation models often assume uniform mixing within communities, overlooking how…

Physics and Society · Physics 2025-11-07 Haoyang Qian , Malbor Asllani

Motivated by empirical evidence on the interplay between geography, population density and societal interaction, we propose a generative process for the evolution of social structure in cities. Our analytical and simulation results predict…

Physics and Society · Physics 2013-06-12 Wei Pan , Gourab Ghoshal , Coco Krumme , Manuel Cebrian , Alex Pentland

Understanding of the mechanisms driving our daily face-to-face encounters is still limited; the field lacks large-scale datasets describing both individual behaviors and their collective interactions. However, here, with the help of travel…

Physics and Society · Physics 2013-08-07 Lijun Sun , Kay W. Axhausen , Der-Horng Lee , Xianfeng Huang

Understanding urban mobility requires models that capture how people interact with and navigate the built environment. We present a scalable, generalizable agent-based framework in which daily schedules emerge from the interplay between…

Physics and Society · Physics 2026-01-30 Sandro M. Reia , Henrique F. de Arruda , Shiyang Ruan , Taylor Anderson , Hamdi Kavak , Dieter Pfoser

In this paper we analyse the profile of land use and population density with respect to the distance to the city centre for the European city. In addition to providing the radial population density and soil-sealing profiles for a large set…

Physics and Society · Physics 2017-04-24 Rémi Lemoy , Geoffrey Caruso

Urban population scaling of resource use, creativity metrics, and human behaviors has been widely studied. These studies have not looked in detail at the full range of human environments which represent a continuum from the most rural to…

Physics and Society · Physics 2016-02-19 Quentin S. Hanley , Dan Lewis , Haroldo V. Ribeiro

We investigate at the subscale of the neighborhoods of a highly populated city the incidence of property crimes in terms of both the resident and the floating population. Our results show that a relevant allometric relation could only be…

This paper reviews some of the phenomenological models which have been introduced to incorporate the scaling properties of financial data. It also illustrates a microscopic model, based on heterogeneous interacting agents, which provides a…

Statistical Mechanics · Physics 2009-10-31 Giulia Iori

The growth of cities has traditionally been studied from a population perspective, while urban expansion-its spatial growth-has often been approached qualitatively. However, characterizing and modeling this spatial expansion is crucial,…

Physics and Society · Physics 2026-03-31 Ulysse Marquis , Marc Barthelemy

Mobility is a fundamental feature of human life, and through it our interactions with the world and people around us generate complex and consequential social phenomena. Social segregation, one such process, is increasingly acknowledged as…

Physics and Society · Physics 2025-05-23 Yitao Yang , Erjian Liu , Bin Jia , Ed Manley

In this paper we specify research assumptions introduced and used in "The meta-structure project" to be considered both to model and design collective behaviours as given by coherent mesoscopic dynamics. We specify concepts of interaction…

Adaptation and Self-Organizing Systems · Physics 2012-01-10 Gianfranco Minati

The presented model provides an explanation to several empirically observed phenomena in spatial economics. By representing the system as a complex network of fixed-size land areas connected by trade between harbored activities, city size…

Statistical Mechanics · Physics 2007-05-23 Claes Andersson , Alexander Hellervik , Kristian Lindgren

Is there a general economic pathway recapitulated by individual cities over and over? Identifying such evolution structure, if any, would inform models for the assessment, maintenance, and forecasting of urban sustainability and economic…

Physics and Society · Physics 2020-08-27 Inho Hong , Morgan R. Frank , Iyad Rahwan , Woo-Sung Jung , Hyejin Youn

Scaling laws illuminate Nature's fundamental biological principles and guide bioinspired materials and structural designs. In simple cases they are based on the fundamental principle that all laws of nature remain unchanged (i.e.,…

Biological Physics · Physics 2025-02-18 Huan Liu , Shashank Priya , Richard D. James

Models and simulations of collective behaviours are often based on considering them as assumed by interactive particle systems. The focus is then on behavioural and interaction rules by using approaches based on artificial agents designed…

Adaptation and Self-Organizing Systems · Physics 2009-03-04 Gianfranco Minati

The spatial distribution of people exhibits clustering across a wide range of scales, from household ($\sim 10^{-2}$ km) to continental ($\sim 10^4$ km) scales. Empirical data indicates simple power-law scalings for the size distribution of…

Physics and Society · Physics 2016-03-23 Henry W. Lin , Abraham Loeb

Given the rapid recent trend of urbanization, a better understanding of how urban infrastructure mediates socioeconomic interactions and economic systems is of vital importance. While the accessibility of location-enabled devices as well as…

Power law distributions of macroscopic observables are ubiquitous in both the natural and social sciences. They are indicative of correlated, cooperative phenomena between groups of interacting agents at the microscopic level. In this paper…

Condensed Matter · Physics 2009-11-07 P Ormerod , C Mounfield