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Tempered fractional Brownian motion is revisited from the viewpoint of reduced fractional Ornstein-Uhlenbeck process. Many of the basic properties of the tempered fractional Brownian motion can be shown to be direct consequences or…

概率论 · 数学 2019-07-23 S. C. Lim , Chai Hok Eab

The main aim of the present paper is to define an active particle in a quantum framework as a minimal model of quantum active matter and investigate the differences and similarities of quantum and classical active matter. Although the field…

量子物理 · 物理学 2025-05-02 Manami Yamagishi , Naomichi Hatano , Hideaki Obuse

We discuss the two-dimensional motion of a Brownian particle that is confined to a harmonic trap and driven by a shear flow. The surrounding medium induces memory effects modelled by a linear, typically nonreciprocal coupling of the…

统计力学 · 物理学 2024-04-26 Lea Fernandez , Siegfried Hess , Sabine H. L. Klapp

Typically the motion of self-propelled active particles is described in a quiescent environment establishing an inertial frame of reference. Here we assume that friction, self-propulsion and uctuations occur relative to a non-inertial frame…

软凝聚态物质 · 物理学 2019-06-26 Hartmut Löwen

We consider the motion of an active Brownian particle with speed fluctuations in d-dimensions in the presence of both translational and orientational diffusion. We use an Ornstein-Uhlenbeck process for active speed generation. Using a…

统计力学 · 物理学 2022-05-02 Amir Shee , Debasish Chaudhuri

We present a generalized energy-depot model in which the conversion rate of the internal energy into motion can be dependent on the position and the velocity of a particle. When the conversion rate is a general function of the velocity, the…

生物物理 · 物理学 2009-11-13 Yong Zhang , Chul Koo Kim , Kong-Ju-Bock Lee

Starting from the notion of multivariate fractional Brownian Motion introduced in [F. Lavancier, A. Philippe, and D. Surgailis. Covariance function of vector self-similar processes. Statistics & Probability Letters, 2009] we define a…

概率论 · 数学 2025-09-16 Ranieri Dugo , Giacomo Giorgio , Paolo Pigato

The approach to the analysis of the dynamic of non-equilibrium open systems within the framework of the laws of classical mechanics on the example a hard-disks is offered. This approach was based on Hamilton and Liouville generalized…

统计力学 · 物理学 2007-05-23 V. M. Somsikov

Systems switching between different dynamical phases is an ubiquitous phenomenon. The general understanding of such a process is limited. To this end, we present a general expression that captures fluctuations of a system exhibiting a…

统计力学 · 物理学 2024-12-05 Ion Santra , Kristian Stølevik Olsen , Deepak Gupta

We study the transport of active Brownian particles (ABPs) in three-dimensional (3D) oscillatory geometries, which are spatially periodic. We establish a generalized Fick-Jacobs approach, which reduces a 3D system to an effective 1D system…

软凝聚态物质 · 物理学 2025-09-16 Rahul Sinha , Ankit Gupta , P. S. Burada

The properties of a cognitive, self-propelled, and self-steering particle in the presence of a stationary target are analyzed theoretically and by simulations. In particular, the effects of confinement in competition with activity and…

软凝聚态物质 · 物理学 2024-06-04 Marielle Gassner , Segun Goh , Gerhard Gompper , Roland G. Winkler

The Active Brownian Particle (ABP) model exemplifies a wide class of active matter particles. In this work, we demonstrate how this model can be cast into a field theory in both two and three dimensions. Our aim is manifold: we wish both to…

软凝聚态物质 · 物理学 2022-12-26 Ziluo Zhang , Lili Fehértói-Nagy , Maria Polackova , Gunnar Pruessner

Active Brownian particles (ABPs, such as self-phoretic colloids) swim at fixed speed $v$ along a body-axis ${\bf u}$ that rotates by slow angular diffusion. Run-and-tumble particles (RTPs, such as motile bacteria) swim with constant $\u$…

统计力学 · 物理学 2013-02-27 M. E. Cates , J. Tailleur

Non-equilibrium stochastic dynamics of several active Brownian systems are modeled in terms of non-linear velocity dependent force. In general, this force may consist of both even and odd functions of velocity. We derive the expression for…

统计力学 · 物理学 2016-09-14 Debasish Chaudhuri

Transport and dispersion of active particles in structured environments such as corrugated channels and porous media are important for the understanding of both natural and engineered active systems. Owing to their continuous…

软凝聚态物质 · 物理学 2024-10-16 Zhiwei Peng

We study the dynamics of a self-propelled particle advected by a steady laminar flow. The persistent motion of the self-propelled particle is described by an active Ornstein-Uhlenbeck process. We focus on the diffusivity properties of the…

统计力学 · 物理学 2020-03-17 Lorenzo Caprini , Fabio Cecconi , Andrea Puglisi , Alessandro Sarracino

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…

软凝聚态物质 · 物理学 2021-08-23 Shambhavi Dikshit , Shradha Mishra

Active matter systems under confinement display persistent surface motion and a strong boundary affinity. However, despite extensive studies of their positional dynamics, much less attention has been given to the corresponding orientational…

软凝聚态物质 · 物理学 2026-05-21 Elsa Baby , Manoj Gopalakrishnan , Vishwas V. Vasisht

Active matter is rapidly becoming a key paradigm of out-of-equilibrium soft matter exhibiting complex collective phenomena, yet the thermodynamics of such systems remain poorly understood. In this letter we study the nonequilbrium…

统计力学 · 物理学 2019-10-30 Emanuele Crosato , Mikhail Prokopenko , Richard E. Spinney

In equilibrium, the collective behaviour of particles interacting via steep, short-ranged potentials is well captured by the virial expansion of the free energy at low density. Here, we extend this approach beyond equilibrium to the case of…

软凝聚态物质 · 物理学 2023-06-21 Yuting Irene Li , Rosalba Garcia-Millan , Michael E. Cates , Étienne Fodor