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We study the large-time behaviour of Brownian particles moving through a viscous medium in a confined potential, and which are further subjected to position-dependent driving forces that are periodic in time. We focus on the case where…

Statistical Mechanics · Physics 2009-11-10 Sreedhar B. Dutta , Mustansir Barma

Combining experiments and theory, we address the dynamics of self-propelled particles in crowded environments. We first demonstrate that motile colloids cruising at constant speed through random lattices undergo a smooth transition from…

Soft Condensed Matter · Physics 2017-11-01 Alexandre Morin , David Lopes Cardozo , Vijayakumar Chikkadi , Denis Bartolo

We study the dynamics of Brownian particles in a heterogeneous one-dimensional medium with a spatially-dependent diffusion coefficient of the form $D(x)\sim |x|^c$, at constant temperature. The particle's probability distribution function…

Statistical Mechanics · Physics 2016-08-03 Shaked Regev , Niels Grønbech-Jensen , Oded Farago

Active Brownian particles, even without attractive and anisotropic inter-particle interactions, can form a high-density phase featuring structure-ordered domains as well as collective motion regions under thermal noise. However, the…

Soft Condensed Matter · Physics 2026-01-14 Cheng Yang , Qiandong Dai , Shun Xu , Xin Zhou

In this work we have characterized the phase behaviour and the dynamics of bidimensional mixtures of active and passive Brownian particles. We have evaluated state diagrams at several concentrations of the passive components finding that,…

Soft Condensed Matter · Physics 2025-11-12 Diego Rogel Rodriguez , Francisco Alarcon , Raul Martinez , Jorge Ramirez , Chantal Valeriani

We study the biased diffusion of particles moving in one direction under the action of a constant force in the presence of a piecewise linear random potential. Using the overdamped equation of motion, we represent the first and second…

Statistical Mechanics · Physics 2010-07-08 S. I. Denisov , E. S. Denisova , H. Kantz

Anomalous-diffusion, the departure of the spreading dynamics of diffusing particles from the traditional law of Brownian-motion, is a signature feature of a large number of complex soft-matter and biological systems. Anomalous-diffusion…

We study the position distribution of an active Brownian particle (ABP) in the presence of stochastic resetting in two spatial dimensions. We consider three different resetting protocols : (I) where both position and orientation of the…

Statistical Mechanics · Physics 2021-04-20 Vijay Kumar , Onkar Sadekar , Urna Basu

Biological microswimmers often inhabit a porous or crowded environment such as soil. In order to understand how such a complex environment influences their spreading, we numerically study non-interacting active Brownian particles (ABPs) in…

Soft Condensed Matter · Physics 2016-12-06 Maria Zeitz , Holger Stark

Anomalous diffusion is frequently described by scaled Brownian motion (SBM), a Gaussian process with a power-law time dependent diffusion coefficient. Its mean squared displacement is $\langle x^2(t)\rangle\simeq\mathscr{K}(t)t$ with…

Statistical Mechanics · Physics 2014-12-24 J. -H. Jeon , A. V. Chechkin , R. Metzler

A dilute suspension of active Brownian particles in a dense compressible viscoelastic fluid, forms a natural setting to study the emergence of nonreciprocity during a dynamical phase transition. At these densities, the transport of active…

Soft Condensed Matter · Physics 2021-10-14 Jyoti Prasad Banerjee , Rituparno Mandal , Deb Sankar Banerjee , Shashi Thutupalli , Madan Rao

Motivated by subdiffusive motion of bio-molecules observed in living cells we study the stochastic properties of a non-Brownian particle whose motion is governed by either fractional Brownian motion or the fractional Langevin equation and…

Statistical Mechanics · Physics 2016-09-08 Jae-Hyung Jeon , Ralf Metzler

We describe a two-dimensional model for active particles whose self-propulsion speed is not fixed, but varies in time, and whose motion is subject to both translational and rotational diffusion. In the conventional treatment of active…

Soft Condensed Matter · Physics 2025-10-01 Tayeb Jamali

We show that the force generated by active enzyme molecules are strong enough to influence the dynamics of their surroundings under artificial crowded environments. We measured the behavior of polymer microparticles in a…

Soft Condensed Matter · Physics 2023-05-10 Arnab Maiti , Yuki Koyano , Hiroyuki Kitahata , Krishna Kanti Dey

We study the stationary states of an over-damped active Brownian particle (ABP) in a harmonic trap in two dimensions, via mathematical calculations and numerical simulations. In addition to translational diffusion, the ABP self-propels with…

Statistical Mechanics · Physics 2023-07-27 Urvashi Nakul , Manoj Gopalakrishnan

We study the motion of an active Brownian particle (ABP) using overdamped Langevin dynamics on a two-dimensional substrate with periodic array of obstacles and in a quasi-one-dimensional corrugated channel comprised of periodically arrayed…

Soft Condensed Matter · Physics 2019-05-28 Sudipta Pattanayak , Rakesh Das , Manoranjan Kumar , Shradha Mishra

The motion of a quantum particle hopping on a simple cubic lattice under the influence of thermal noise and of a static random potential is expected to be diffusive, i.e., the particle is expected to exhibit `quantum Brownian motion', no…

Mathematical Physics · Physics 2017-09-22 Jürg Fröhlich , Jeffrey Schenker

We analyze the diffusive transport of Brownian particles in narrow channels with periodically varying cross-section. The geometrical confinements lead to entropic barriers, the particle has to overcome in order to proceed in transport…

Statistical Mechanics · Physics 2012-01-06 P. S. Burada , G. Schmid , Y. Li , P. Hanggi

We experimentally investigate the dynamics of synthetic active particles composed of gravitationally bouncing, superwalking droplets confined within an annular fluid bath. Driven by a topologically pumping dual-frequency waveform, the…

Fluid Dynamics · Physics 2025-12-19 Rudra Sekhri , Rahil N. Valani , Tapio Simula

Single-file diffusion (SFD) is a key mechanism underlying transport phenomena in confined physical and biological systems. In a typical SFD process, microscopic particles are restricted to moving in a narrow channel where they cannot pass…

Soft Condensed Matter · Physics 2025-05-28 A. Akintunde , P. Bayati , H. Row , S. A. Mallory