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There are many examples of driven and active matter systems containing particles that exhibit circular motion with different chiralities, such as swimming bacteria near surfaces or certain types of self-driven colloidal particles. Circular…

Statistical Mechanics · Physics 2015-06-16 C. Reichhardt , C. J. Olson Reichhardt

We propose a simple mathematical model that describes a pairing-induced motion of active and passive particles in a two-dimensional system, which is motivated by our previous paper [Ishikawa et al., Phys. Rev. E \textbf{106} (2022) 024604].…

Adaptation and Self-Organizing Systems · Physics 2026-03-11 Hiroaki Ishikawa , Yuki Koyano , Hiroaki Ito , Yutaka Sumino , Hiroyuki Kitahata

The movement of motor particles consisting of one or several molecular motors bound to a cargo particle is studied theoretically. The particles move on patterns of immobilized filaments. Several patterns are described for which the motor…

Statistical Mechanics · Physics 2009-11-11 Stefan Klumpp , Reinhard Lipowsky

Because of its nonequilibrium character, active matter in a steady state can drive engines that autonomously deliver work against a constant mechanical force or torque. As a generic model for such an engine, we consider systems that contain…

Statistical Mechanics · Physics 2019-11-15 Patrick Pietzonka , Étienne Fodor , Christoph Lohrmann , Michael E. Cates , Udo Seifert

Randomly moving active particles can be herded into directed motion by asymmetric geometric structures. Although such a rectification process has been extensively studied due to its fundamental, biological, and technological relevance, a…

Soft Condensed Matter · Physics 2026-03-31 Satyam Anand , Xiaolei Ma , Shuo Guo , Stefano Martiniani , Xiang Cheng

Active matter represents a class of non-equilibrium systems that constantly dissipate energy to produce directed motion. The thermodynamic control of active matter holds great potential for advancements in synthetic molecular motors,…

Statistical Mechanics · Physics 2024-09-17 Yating Wang , Enmai Lei , Yu-Han Ma , Z. C. Tu , Geng Li

We study by simulation a mixture of active (run-and-tumble) and passive (Brownian) particles with repulsive exclusion interactions in one dimension, subject to a ratchet (smoothed sawtooth) potential. Such a potential is known to rectify…

Statistical Mechanics · Physics 2022-04-27 Jean-François Derivaux , Robert L. Jack , Michael E. Cates

Active particles contain internal degrees of freedom with the ability to take in and dissipate energy and, in the process, execute systematic movement. Examples include all living organisms and their motile constituents such as molecular…

Soft Condensed Matter · Physics 2015-05-18 Sriram Ramaswamy

The motion of self-propelled particles can be rectified by asymmetric or ratchet-like periodic patterns in space. Here we show that a non-zero average drift can already be induced in a periodic potential with symmetric barriers when the…

Statistical Mechanics · Physics 2015-06-15 Andrey Pototsky , Aljoscha M. Hahn , Holger Stark

Using molecular dynamics simulations, we show that an asymmetrically shaped nanoparticle in dilute solution possesses a spontaneously curved trajectory within finite time interval, instead of the generally expected random walk. This…

Soft Condensed Matter · Physics 2016-10-13 Nan Sheng , YuSong Tu , Pan Guo , RongZheng Wan , ZuoWei Wang , HaiPing Fang

Micromotors pushed by biological entities, like motile bacteria, constitute a fascinating way to convert chemical energy into mechanical work at the micrometer scale. Here we show, by using numerical simulations, that a properly designed…

Soft Condensed Matter · Physics 2009-11-13 Luca Angelani , Roberto Di Leonardo , Giancarlo Ruocco

Rectified transport of active ellipsoidal particles is numerically investigated in a two-dimensional asymmetric potential. The out-of-equilibrium condition for the active particle is an intrinsic property, which can break thermodynamical…

Soft Condensed Matter · Physics 2015-05-12 Bao-quan Ai , Jian-chun Wu

Gaining control over the motion of active particles is crucial for applications ranging from targeted cargo delivery to nanomedicine. While much progress has been made recently to control active motion based on external forces, flows or…

Soft Condensed Matter · Physics 2023-07-25 José Carlos Ureña Marcos , Benno Liebchen

Because active particles break time-reversal symmetry, a single non-spherical body placed in an active fluid generates currents. We show that when two or more passive bodies are placed in an active fluid these currents lead to long-range…

Statistical Mechanics · Physics 2018-02-07 Yongjoo Baek , Alexandre P. Solon , Xinpeng Xu , Nikolai Nikola , Yariv Kafri

Particles moving in oscillating potential with broken mirror symmetry are considered. We calculate their energetic efficiency, when acting as molecular motors carrying a load against external force. It is shown that interaction between…

Statistical Mechanics · Physics 2010-09-03 Frantisek Slanina

A simple geometrical model is presented for the gravity-driven motion of a single particle on a rough inclined surface. Adopting a simple restitution law for the collisions between the particle and the surface, we arrive at a model in which…

Soft Condensed Matter · Physics 2009-10-31 Giovani L. Vasconcelos , J. J. P. Veerman

Curvature plays a central role in the proper function of many biological processes. With active matter being a standard framework for understanding many aspects of the physics of life, it is natural to ask what effect curvature has on the…

Soft Condensed Matter · Physics 2026-01-27 Euan D. Mackay , Giulia Janzen , D. A. Matoz Fernandez , Rastko Sknepnek

During the last fifty-one years, the effect of excitation of the quantum vacuum field induced by its coupling with a moving object has been systematically studied. Here, we propose and investigate a somewhat inverted setting: an object,…

We analyse collective motion that occurs during rare (large deviation) events in systems of active particles, both numerically and analytically. We discuss the associated dynamical phase transition to collective motion, which occurs when…

Statistical Mechanics · Physics 2021-02-10 Yann-Edwin Keta , Étienne Fodor , Frédéric van Wijland , Michael E. Cates , Robert L. Jack

We study the rectified transport of underdamped active noninteracting particles in an asymmetric periodic potential. It is found that the ratchet effect of active noninteracting particles occurs in a single direction (along the easy…

Soft Condensed Matter · Physics 2017-03-30 Bao-quan Ai , Feng-guo Li
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