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Fluctuations play a central role in many fields of physics, from quantum electrodynamics to statistical mechanics. In active matter physics, most models focus on thermal fluctuations due to a surrounding solvent. An alternative but much…

Soft Condensed Matter · Physics 2025-04-17 Sebastian Fehlinger , Kai Cui , Arooj Sajjad , Heinz Koeppl , Benno Liebchen

Within a simple model of attractive active Brownian particles, we predict flocking behavior and challenge the widespread idea that alignment interactions are necessary to observe this collective phenomenon. Here, we show that even…

Soft Condensed Matter · Physics 2023-04-19 Lorenzo Caprini , Hartmut Löwen

We consider interacting systems particle driven by i.i.d. fractional Brownian motions, subject to irregular, possibly distributional, pairwise interactions. We show propagation of chaos and mean field convergence to the law of the…

Probability · Mathematics 2025-12-02 Lucio Galeati , Khoa Lê , Avi Mayorcas

Self-propelled particles with alignment, displaying ordered collective motions such as swarming, can be investigated by the well-known Vicsek model. However, challenges still remain regarding the nature of the associated phase transition.…

Statistical Mechanics · Physics 2024-11-12 Ruizhe Yan , Jie Su , Jin Wang

We consider a model of Non-Brownian self-propelled particles with anti-alignment interactions where particles try to avoid each other by attempting to turn into opposite directions. The particles undergo apparent Brownian motion, even…

Statistical Mechanics · Physics 2023-03-07 Thomas Ihle , Rüdiger Kürsten , Benjamin Lindner

Self-organization is the generation of order out of local interactions in non-equilibrium [1]. It is deeply connected to all fields of science from physics, chemistry to biology where functional living structures self-assemble[2] and…

Soft Condensed Matter · Physics 2018-10-24 Utsab Khadka , Viktor Holubec , Haw Yang , Frank Cichos

Frictional forces affect the rheology of hard-sphere colloids, at high shear rate. Here we demonstrate, via numerical simulations, that they also affect the dynamics of active Brownian particles, and their motility induced phase separation.…

Soft Condensed Matter · Physics 2020-09-25 Pin Nie , Joyjit Chattoraj , Antonio Piscitelli , Patrick Doyle , Ran Ni , Massimo Pica Ciamarra

Active particles driven by colored noise can be approximately mapped onto a system that obeys detailed balance. The effective interactions which can be derived for such a system allow to describe the structure and phase behavior of the…

Soft Condensed Matter · Physics 2017-11-30 René Wittmann , Umberto Marini Bettolo Marconi , Claudio Maggi , Joseph M. Brader

As a result of the competition between self-propulsion and excluded volume interactions, purely repulsive self-propelled spherical particles undergo a motility-induced phase separation (MIPS). We carry out a systematic computational study,…

Soft Condensed Matter · Physics 2017-03-08 Demian Levis , Joan Codina , Ignacio Pagonabarraga

In the last decade, the study of pressure in active matter has attracted growing attention due to its fundamental relevance to nonequilibrium statistical physics. Active matter systems are composed of particles that consume energy to…

Soft Condensed Matter · Physics 2025-08-14 Guo Yu , Ruiyao Li , Fukang Li , Jiayu Zhang , Xiyue Li , Zequ Chen , Joscha Mecke , Yongxiang Gao

The infinite Atlas model describes the evolution of a countable collection of Brownian particles on the real line, where the lowest particle is given a drift of $\gamma \in [0,\infty)$. We study equilibrium fluctuations for the Atlas model…

Probability · Mathematics 2025-06-23 Sayan Banerjee , Amarjit Budhiraja , Peter Rudzis

Active Brownian motion commonly assumes spherical overdamped particles. However, self-propelled particles are often neither symmetric nor overdamped yet underlie random fluctuations from their surroundings. Active Brownian motion has…

Soft Condensed Matter · Physics 2022-10-03 Jonas Mayer Martins , Raphael Wittkowski

While it is well established that self-propelled particles with alignment interactions can exhibit orientational order, the impact of self-replication and annihilation, which are key characteristics in cellular systems, on spatiotemporal…

Populations and Evolution · Quantitative Biology 2025-09-09 Seiya Takamura , Nen Saito

We investigate how the competing presence of a nonuniform motility landscape and an external confining field affects the properties of active particles. We employ the active Ornstein-Uhlenbeck particle (AOUP) model with a periodic swim…

Statistical Mechanics · Physics 2022-03-02 Lorenzo Caprini , Umberto Marini Bettolo Marconi , René Wittmann , Hartmut Löwen

We look at the equilibrium of a Brownian particle in an inhomogeneous space following the alternative approach proposed in ref.[1]. We consider a coordinate dependent damping that makes the stochastic dynamics the one with multiplicative…

Statistical Mechanics · Physics 2014-10-07 Avik Biswas , A. Bhattacharyay

A nonequilibrium system of locally interacting elements in a lattice with an absorbing order-disorder phase transition is studied under the effect of additional interacting fields. These fields are shown to produce interesting effects in…

Statistical Mechanics · Physics 2007-09-09 J. C. Gonzalez-Avella , V. M. Eguiluz , M. G. Cosenza , K. Klemm , J. L. Herrera , M. San Miguel

We discuss biologically inspired, inherently non-equilibrium self-propelled particle models, in which the particles interact with their neighbours by choosing at each time step the local average direction of motion. We summarize some of the…

Statistical Mechanics · Physics 2007-05-23 Andras Czirok , Tamas Vicsek

The emergent dynamics in phase-separated mixtures of isometric active and passive Brownian particles is studied numerically in two dimensions. A novel steady-state of well-defined traveling fronts is observed, where the interface between…

Soft Condensed Matter · Physics 2024-06-03 Adam Wysocki , Roland G. Winkler , Gerhard Gompper

Active Brownian particles (ABPs) function as self-driving agents that display non-equilibrium behavior through their pairwise interactions which lead to phase separation and vortex patterns in both soft matter and living systems. A…

Soft Condensed Matter · Physics 2025-09-09 Sadra Saremi , Amirhossein Ahmadkhan Kordbacheh

We study the joint asymptotic behavior of spacings between particles at the edge of multilevel Dyson Brownian motions, when the number of levels tends to infinity. Despite the global interactions between particles in multilevel Dyson…

Probability · Mathematics 2014-09-09 Vadim Gorin , Mykhaylo Shkolnikov