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We construct the temporal network using the two-dimensional active particle systems which are described by the Vicsek model. The bursts of the interevent times for a specific pair of particles are investigated numerically. We find that for…

Statistical Mechanics · Physics 2022-10-18 Wei Zhong , Youjin Deng , Daxing Xiong

In this paper we revisit the concept of mobility entropy. Over time, the structure of spatial interactions among urban centres tends to become more complex and evolves from centralised models to more scattered origin and destination…

Physics and Society · Physics 2021-06-30 Valentina Marin , Carlos Molinero , Elsa Arcaute

Collapse, or a gravitational-like phase transition is studied in a microcanonical ensemble of particles with an attractive $1/r^{\alpha}$ potential. A mean field continuous integral equation is used to determine a saddle-point density…

Statistical Mechanics · Physics 2007-05-23 I. Ispolatov , E. G. D. Cohen

We simulate the canonical Vicsek model and estimate the flow of information as a function of noise (the variability in the extent to which each animal aligns with its neighbours). We show that the global transfer entropy for finite flocks…

Statistical Mechanics · Physics 2018-09-12 Joshua Brown , Terry Bossomaier , Lionel Barnett

The transition from a many-body localized phase to a thermalizing one is a dynamical quantum phase transition which lies outside the framework of equilibrium statistical mechanics. We provide a detailed study of the critical properties of…

Disordered Systems and Neural Networks · Physics 2017-04-27 Vedika Khemani , S. P. Lim , D. N. Sheng , David A. Huse

Motility and nonreciprocity are two primary mechanisms for self-organization in active matter. In a recent study [Phys. Rev. Lett. 131, 148301 (2023)], we explored their joint influence in a minimal model of two-species quorum-sensing…

Soft Condensed Matter · Physics 2025-04-15 Yu Duan , Jaime Agudo-Canalejo , Ramin Golestanian , Benoît Mahault

The information processing capacity of a complex dynamical system is reflected in the partitioning of its state space into disjoint basins of attraction, with state trajectories in each basin flowing towards their corresponding attractor.…

Disordered Systems and Neural Networks · Physics 2007-05-23 Peter Krawitz , Ilya Shmulevich

Natural systems are inextricably affected by noise. Within recent decades, the manner in which noise affects the collective behavior of self-organized systems, specifically, has garnered considerable interest from researchers and developers…

Optimization and Control · Mathematics 2016-07-12 Ge Chen

The study of electronic transitions within a molecule connected to the absorption or emission of light is a common task in the process of the design of new materials. The transitions are complex quantum mechanical processes and a detailed…

Human-Computer Interaction · Computer Science 2021-06-03 Talha Bin Masood , Signe Sidwall Thygesen , Mathieu Linares , Alexei I. Abrikosov , Vijay Natarajan , Ingrid Hotz

The formalism used in describing the thermodynamics of abrupt (or first-order) phase transitions is reviewed as an application of maximum entropy inference. In this treatment, we show that the concepts of transition temperature, latent heat…

Statistical Mechanics · Physics 2016-08-01 Sergio Davis , Joaquín Peralta , Yasmín Navarrete , Diego González , Gonzalo Gutiérrez

The purpose of this work is to use active particles to study the effect of facilitation on supercooled liquids. To this end we investigate the behavior of a model supercooled liquid doped with intermittently active and intermittently slowed…

Soft Condensed Matter · Physics 2023-08-11 Victor Teboul

Natural flocks (aligned) and swarms (non-aligned) both exhibit features of near-criticality, challenging their treatment as two ends of the same phase transition. We present a model for the aggregation of active individuals, in which their…

Adaptation and Self-Organizing Systems · Physics 2025-11-26 Joao Lizárraga , Marcus de Aguiar

The so-called Froehlich entropy is the entropy variation of a material under the application of an electric field. This quantity can be calculated, under suitable hypotheses, directly from the measured real part of the dielectric function.…

Applied Physics · Physics 2021-04-16 Jacopo Parravicini , Gianbattista Parravicini

A general framework to describe a vast majority of biology-inspired systems is to model them as stochastic processes in which multiple couplings are in play at the same time. Molecular motors, chemical reaction networks, catalytic enzymes,…

Statistical Mechanics · Physics 2020-11-25 Daniel M. Busiello , Deepak Gupta , Amos Maritan

Entanglement entropy is a measure of quantum correlations between separate parts of a many-body system, which plays an important role in many areas of physics. Here we review recent work in which a relation between this quantity and the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Israel Klich , Leonid Levitov

We computationally study suspensions of slow and fast active Brownian particles that have undergone motility induced phase separation and are at steady state. Such mixtures, of varying non-zero activity, remain largely unexplored even…

Soft Condensed Matter · Physics 2024-07-11 Nicholas J Lauersdorf , Ehssan Nazockdast , Daphne Klotsa

We study the universal behavior of a class of active colloids whose design is inspired by the collective dynamics of natural systems like schools of fish and flocks of birds. These colloids, with off-center repulsive interaction sites,…

Soft Condensed Matter · Physics 2024-10-10 Amir Nourhani

We study the ground-state phase diagram and dynamics of the one-dimensional cluster model with several competing interactions. Paying particular attention to the relation between the entanglement spectrum (ES) and the bulk topological…

Statistical Mechanics · Physics 2016-04-27 Takumi Ohta , Shu Tanaka , Ippei Danshita , Keisuke Totsuka

Entropy relates the fast, microscopic behaviour of the elements in a system to its slow, macroscopic state. We propose to use it to explain how, as complexity theory suggests, small scale decisions of individuals form cities. For this, we…

Physics and Society · Physics 2017-11-28 Martin Barner , Clémentine Cottineau , Carlos Molinero , Hadrien Salat , Kiril Stanilov , Elsa Arcaute

In a physical system, changing parameters such as temperature can induce a phase transition: an abrupt change from one state of matter to another. Analogous phenomena have recently been observed in large language models. Typically, the task…

Machine Learning · Computer Science 2024-05-28 Julian Arnold , Flemming Holtorf , Frank Schäfer , Niels Lörch