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A dilute suspension of motile microorganisms subjected to a strong ambient flow, such as algae in the ocean, can be modelled as a population of non-interacting, orientable active Brownian particles (ABPs). Using the Smoluchowski equation…

Fluid Dynamics · Physics 2022-01-21 Lloyd Fung , Rachel N. Bearon , Yongyun Hwang

The diffusive transport of biased Brownian particles in a two-dimensional symmetric channel is investigated numerically considering both the no-flow and the reflection boundary conditions at the channel boundaries. Here, the geometrical…

Soft Condensed Matter · Physics 2019-09-10 Narender Khatri , P. S. Burada

The transport of self-propelled particles such as bacteria and phoretic swimmers through crowded heterogeneous environments is relevant to many natural and engineering processes, from biofilm formation and contamination processes to…

Fluid Dynamics · Physics 2019-04-10 Roberto Alonso-Matilla , Brato Chakrabarti , David Saintillan

We consider an active Brownian particle in a $d$-dimensional harmonic trap, in the presence of translational diffusion. While the Fokker-Planck equation can not in general be solved to obtain a closed form solution of the joint distribution…

Statistical Mechanics · Physics 2021-12-23 Debasish Chaudhuri , Abhishek Dhar

We evaluate the steady-state distribution and escape rate for an Active Ornstein-Uhlenbeck Particle (AOUP) using methods from the theory of large deviations. The calculation is carried out both for small and large memory times of the active…

Statistical Mechanics · Physics 2022-08-31 Eric Woillez , Yariv Kafri , Vivien Lecomte

Fluidic transport in inverted T-shaped cavities with the flow entering through the top and exiting from the two bottom outlets experiences an interesting phenomenon that causes particles having density lower than that of the fluid medium to…

Fluid Dynamics · Physics 2022-11-15 Sneham Das , Saikat Basu

We study the long-time asymptotic behavior of the position distribution of a run-and-tumble particle (RTP) in two dimensions and show that the distribution at a time $t$ can be expressed as a perturbative series in $(\gamma t)^{-1}$, where…

Statistical Mechanics · Physics 2023-03-24 Ion Santra , Urna Basu , Sanjib Sabhapandit

We propose a model of run-and-tumble particles (RTPs) on a line with a fertile site at the origin. After going through the fertile site, a run-and-tumble particle gives rise to new particles until it flips direction. The process of creation…

Statistical Mechanics · Physics 2021-08-11 Pascal Grange , Xueqi Yao

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

Within the Rayleigh-Helmholtz model of active Brownian particles activity is due to a non-linear velocity dependent force. In the presence of an external trapping potential or a constant force, the steady state of the system breaks detailed…

Statistical Mechanics · Physics 2015-06-19 Debasish Chaudhuri

We study the first-passage-time (FPT) properties of active Brownian particles to reach an absorbing wall in two dimensions. Employing a perturbation approach we obtain exact analytical predictions for the survival and FPT distributions for…

Soft Condensed Matter · Physics 2025-03-10 Yanis Baouche , Magali Le Goff , Christina Kurzthaler , Thomas Franosch

Particles kicked by external forces to produce mobility distinct from thermal diffusion are an iconic feature of the active matter problem. Here, we map this onto a minimal model for experiment and theory covering the wide time and length…

Soft Condensed Matter · Physics 2021-01-21 Jin Tae Park , Govind Paneru , Chulan Kwon , Steve Granick , Hyuk Kyu Pak

Recent years have seen a rapid increase of interest in dense active materials, which, in the disordered state, share striking similarities with conventional passive glass-forming matter. For such passive glassy materials, it is well…

Soft Condensed Matter · Physics 2022-12-13 Vincent E. Debets , Liesbeth M. C. Janssen

Inertial effects affecting both the translational and rotational dynamics are inherent to a broad range of active systems at the macroscopic scale. Thus, there is a pivotal need for proper models in the framework of active matter to…

Soft Condensed Matter · Physics 2023-05-10 Alexander R. Sprenger , Lorenzo Caprini , Hartmut Löwen , René Wittmann

We study the statistics of the first-passage time of a single run and tumble particle (RTP) in one spatial dimension, with or without resetting, to a fixed target located at $L>0$. First, we compute the first-passage time distribution of a…

Statistical Mechanics · Physics 2023-03-20 Gennaro Tucci , Andrea Gambassi , Satya N. Majumdar , Gregory Schehr

The effective diffusivity of Brownian tracer particles confined in periodic micro-channels is smaller than the microscopic diffusivity due to entropic trapping. Here, we study diffusion in two-dimensional periodic channels whose…

Statistical Mechanics · Physics 2019-05-29 M. Mangeat , T. Guérin , D. S. Dean

We simulate by lattice Boltzmann the nonequilibrium steady states of run-and-tumble particles (inspired by a minimal model of bacteria), interacting by far-field hydrodynamics, subject to confinement. Under gravity, hydrodynamic…

Statistical Mechanics · Physics 2010-07-01 R. W. Nash , R. Adhikari , J. Tailleur , M. E. Cates

In the high persistence regime of non-inertial active Brownian particles (ABP), polarization becomes a relevant dynamical field. Based on a recently proposed kinetic description for ABP, we derive Navier-Stokes-like equations for the…

Soft Condensed Matter · Physics 2025-10-21 Martín Pinto-Goldberg , Rodrigo Soto

We study the motility-induced aggregation of active Brownian particles (ABPs) on a porous, circular wall. We observe that the morphology of aggregated dense-phase on a static wall depends on the wall porosity, particle motility, and the…

Soft Condensed Matter · Physics 2020-10-06 Suchismita Das , Sounok Ghosh , Raghunath Chelakkot

Active matter deals with systems whose particles consume energy at the individual level in order to move. To unravel features such as the emergence of collective structures several models have been suggested, such as the on-lattice model of…