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The effect of short-term and long-term memory on spontaneous aggregation of organisms is investigated using a stochastic agent-based model. Each individual modulates the amplitude of its random motion according to the perceived local…

Dynamical Systems · Mathematics 2026-02-17 Radek Erban , Jan Haskovec

As well known, the generalized Langevin equation with a memory kernel decreasing at large times as an inverse power law of time describes the motion of an anomalously diffusing particle. Here, we focus attention on some new aspects of the…

Statistical Mechanics · Physics 2011-05-27 Noëlle Pottier

In contrast with ordinary materials, living matter drives its own motion by generating active, out-of-equilibrium internal stresses. These stresses typically originate from localized active elements embedded in an elastic medium, such as…

Soft Condensed Matter · Physics 2014-11-13 Pierre Ronceray , Martin Lenz

We consider the stochastic dynamics of a system linearly coupled to a hierarchical thermal bath with two well-separated inherent timescales: one slow, and one fast. The slow part of the bath is modeled as a set of harmonic oscillators and…

Statistical Mechanics · Physics 2019-06-05 A. V. Plyukhin

The motion of self-propelled massive particles through a gaseous medium is dominated by inertial effects. Examples include vibrated granulates, activated complex plasmas and flying insects. However, inertia is usually neglected in standard…

Soft Condensed Matter · Physics 2018-12-05 Christian Scholz , Soudeh Jahanshahi , Anton Ldov , Hartmut Löwen

Protocol-dependent states in structural glasses can encode a disordered, yet retrievable memory. While training such materials is typically done via a global drive, such as external shear, in dense active matter the driving is instead local…

Soft Condensed Matter · Physics 2024-04-05 Elisabeth Agoritsas , Peter K. Morse

Tracer diffusion in polymer networks and hydrogels is relevant in biology and technology, while it also constitutes an interesting model process for the dynamics of molecules in fluctuating, heterogeneous soft matter. Here, we study…

Soft Condensed Matter · Physics 2024-02-16 Sebastian Milster , Fabian Koch , Christoph Widder , Tanja Schilling , Joachim Dzubiella

Recent advances in single particle tracking and supercomputing techniques demonstrate the emergence of normal or anomalous, viscoelastic diffusion in conjunction with non-Gaussian distributions in soft, biological, and active matter…

Statistical Mechanics · Physics 2018-01-23 Jakub Ślęzak , Ralf Metzler , Marcin Magdziarz

Memory-forming properties introduce a new paradigm to the design of adaptive materials. In dense suspensions, an adaptive response is enabled by non-Newtonian rheology; however, typical suspensions have little memory, which implies rapid…

Soft Condensed Matter · Physics 2025-03-13 Hojin Kim , Samantha M. Livermore , Stuart J. Rowan , Heinrich M. Jaeger

The study of systems with sustained energy uptake and dissipation at the scale of the constituent particles is an area of central interest in nonequilibrium statistical physics. Identifying such systems as a distinct category -- Active…

Statistical Mechanics · Physics 2017-06-07 Sriram Ramaswamy

In many biological systems, the movement of individual agents is commonly characterized as having multiple qualitatively distinct behaviors that arise from various biophysical states. This is true for vesicles in intracellular transport,…

Subcellular Processes · Quantitative Biology 2022-07-25 Maria-Veronica Ciocanel , John Fricks , Peter R. Kramer , Scott A. McKinley

Bi-stable objects that are pushed between states by an external field are often used as a simple model to study memory formation in disordered materials. Such systems, called hysterons, are typically treated quasistatically. Here, we…

Soft Condensed Matter · Physics 2023-08-31 Varda F. Hagh , Chloe W. Lindeman , Chi Ian Ip , Sidney R. Nagel

Active particles self-propel themselves with a stochastically evolving velocity, generating a persistent motion leading to a non-diffusive behavior of the position distribution. Nevertheless, an effective diffusive behavior emerges at times…

Statistical Mechanics · Physics 2022-09-14 Ion Santra , Urna Basu , Sanjib Sabhapandit

In this paper we provide an analytical investigation of the entanglement dynamics of moving qubits dissipating into a common and (in general) non-Markovian environment for both weak and strong coupling regimes. We first consider the case of…

Quantum Physics · Physics 2020-02-19 Sare Golkar , Mohammad K Tavassoly , Alireza Nourmandipour

We use a model based on the fractional Langevin equation with external noise to describe the anomalous dynamics observed in microrheology experiments in living cells. This model reproduces both the subdiffusive short-time and the…

Soft Condensed Matter · Physics 2013-07-25 Andreas Dechant , Eric Lutz

We investigate the nonequilibrium dynamics of active matter using a two-dimensional active Brownian particles model. In these systems, self-propelled particles undergo motility-induced phase separation (MIPS), spontaneously segregating into…

Soft Condensed Matter · Physics 2026-02-26 Toranosuke Umemura , Issei Sakai , Takuma Akimoto

Motivated by decentralized approaches to machine learning, we propose a collaborative Bayesian learning algorithm taking the form of decentralized Langevin dynamics in a non-convex setting. Our analysis show that the initial KL-divergence…

Machine Learning · Statistics 2021-01-12 Anjaly Parayil , He Bai , Jemin George , Prudhvi Gurram

Recent experimental studies, both in vivo and in vitro, have revealed that membrane components that bind to the cortical actomyosin meshwork are driven by active fluctuations, whereas membrane components that do not bind to cortical actin…

Biological Physics · Physics 2018-12-05 Sk Raj Hossein , Rituparno Mandal , Madan Rao

The steady state and phase ordering kinetics in a pure active Borwnian particle system are studied in recent years. In binary mixture of active and passive Brownian particles passive particles are used as probe to understand the properties…

Soft Condensed Matter · Physics 2021-08-23 Shambhavi Dikshit , Shradha Mishra

In any ecosystem, the conditions of the environment and the characteristics of the species that inhabit it are entangled, co-evolving in space and time. We introduce a model that couples active agents with a dynamic environment, interpreted…

Populations and Evolution · Quantitative Biology 2025-12-10 G. Briozzo , G. J. Sibona , F. Peruani
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