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Active adaptive matter has attracted considerable interest due to its rich, largely unexplained dynamics and its relevance to a wide range of synthetic and biological materials. An important subclass of such systems consists of active…

Soft Condensed Matter · Physics 2026-02-05 William G. C. Oropesa , P. de Castro , Hartmut Löwen , Danilo B. Liarte

Active particles, which are self-propelled nonequilibrium systems, are modelled by overdamped Langevin equations with colored noise, emulating the self-propulsion. In this chapter, we present a review of the theoretical results for the…

Statistical Mechanics · Physics 2025-03-12 Urna Basu , Sanjib Sabhapandit , Ion Santra

The mutual compatibility of the dynamical equations and constraints describing a massive particle of arbitrary spin, though essential for consistency, is generically lost in the presence of interactions. The conventional Lagrangian approach…

High Energy Physics - Theory · Physics 2015-06-16 Ignacio Cortese , Rakibur Rahman , M. Sivakumar

Colloidal particles, amphiphiles, and functionalized nanoparticles are examples of systems that frequently exhibit short-range attractions coupled with long-range repulsions. In this work, we observe striking differences in the dynamics of…

Soft Condensed Matter · Physics 2017-06-01 Jakub Pȩkalski , Andrew P. Santos , Athanassios Z. Panagiotopoulos

We study the phase behavior of polar Active Brownian Particles moving in two-spatial dimensions and interacting through volume exclusion and velocity alignment. We combine particle-based simulations of the microscopic model with a simple…

Soft Condensed Matter · Physics 2018-12-26 Elena Sese-Sansa , Ignacio Pagonabarraga , Demian Levis

An active Brownian particle is a minimal model for a self-propelled colloid in a dissipative environment. Experiments and simulations show that, in the presence of boundaries and obstacles, active Brownian particle systems approach…

Soft Condensed Matter · Physics 2024-01-17 Caleb G. Wagner , Michael F. Hagan , Aparna Baskaran

We study mixtures of self-propelled and passive rod-like particles in two dimensions using Brownian dynamics simulations. The simulations demonstrate that the two species spontaneously segregate to generate a rich array of dynamical domain…

Soft Condensed Matter · Physics 2015-03-13 Samuel R. McCandlish , Aparna Baskaran , Michael F. Hagan

By conditioning a stochastic process on the value of an observable, one obtains a new stochastic process with different properties. We apply this idea in the context of active matter, and condition interacting self-propelled particles on…

Statistical Mechanics · Physics 2020-03-04 Francesco Cagnetta , Emil Mallmin

We analyze free energy functionals for macroscopic models of multi-agent systems interacting via pairwise attractive forces and localized repulsion. The repulsion at the level of the continuous description is modeled by pressure-related…

Analysis of PDEs · Mathematics 2018-12-18 J. A. Carrillo , M. G. Delgadino , F. S. Patacchini

We study the interaction potential between two polyions inside a colloidal suspension. It is shown that at large separation the interaction potential is purely repulsive, with the induced attractive interactions being doubly screened. For…

Soft Condensed Matter · Physics 2015-06-25 Yan Levin

The analogy of classical repulsive interactions emerging from the exchange of mediating particles is revisited with a quantitative approach. Simulations are presented for a particular toy model which are accessible to undergraduate students…

Classical Physics · Physics 2019-10-03 Jarrett L. Lancaster , Colin McGuire , Aaron P. Titus

Driven particles in presence of crowded environment, obstacles or kinetic constraints often exhibit negative differential mobility (NDM) due to their decreased dynamical activity. We propose a new mechanism for complex many-particle systems…

Statistical Mechanics · Physics 2018-06-06 Amit Kumar Chatterjee , Urna Basu , P. K. Mohanty

While the breakdown of the perturbation expansion for the many-electron problem has several formal consequences, here we unveil its physical effect: Flipping the sign of the effective electronic interaction in specific scattering channels.…

Strongly Correlated Electrons · Physics 2020-11-06 M. Reitner , P. Chalupa , L. Del Re , D. Springer , S. Ciuchi , G. Sangiovanni , A. Toschi

In equilibrium, forces induced by fluctuations of the electromagnetic field between electrically polarizable objects (microscopic or macroscopic) in vacuum are always attractive. The force may, however, become repulsive for microscopic…

Quantum Physics · Physics 2014-10-30 Giuseppe Bimonte , Thorsten Emig , Matthias Kruger , Mehran Kardar

Phase separation in a low-density gas-like phase and a high-density liquid-like one is a common trait of biological and synthetic self-propelling particles' systems. The competition between motility and stochastic forces is assumed to fix…

Soft Condensed Matter · Physics 2020-04-15 Pin Nie , Joyjit Chattoraj , Antonio Piscitelli , Patrick Doyle , Ran Ni , Massimo Pica Ciamarra

Repulsion between individuals within a finite radius is encountered in numerous applications, including cell exclusion, i.e. avoidance of overlapping cells, bird flocks, or microscopic pedestrian models. We define such individual based…

Analysis of PDEs · Mathematics 2023-10-06 Michael Fischer , Laura Kanzler , Christian Schmeiser

Synchronization is a ubiquitous phenomenon in nonequilibrium systems. One intriguing example found in every-day life is lifts installed next to each other, that move closely and arrive almost simultaneously during a busy time. However, the…

Adaptation and Self-Organizing Systems · Physics 2026-04-02 Mitsusuke Tarama , Sakurako Tanida

Colloidal models with short-range attraction and long range repulsion (SALR) have been extensively studied using theoretical and simulations methods due to their rich and universal equilibrium phase behavior. Using Brownian Dynamics…

Soft Condensed Matter · Physics 2026-05-14 Horacio Serna , José Martín-Roca , Ariel G. Meyra , Eva G. Noya

We investigate the steady-state and dynamical properties of a reciprocal many-body system consisting of self-propelled active particles with local alignment interactions that exists within a fan-shaped neighborhood of each particle. We find…

Statistical Mechanics · Physics 2022-07-07 Wei-chen Guo , Zuo Wang , Pei-fang Wu , Li-jun Lang , Bao-quan Ai , Liang He

We study semi-infinite particle systems on the one-dimensional integer lattice, where each particle performs a continuous-time nearest-neighbour random walk, with jump rates intrinsic to each particle, subject to an exclusion interaction…

Probability · Mathematics 2024-12-20 Mikhail Menshikov , Serguei Popov , Andrew Wade
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