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We consider the collective motion of finite-sized, overdamped Brownian particles (e.g., motor proteins) in a periodic potential. Simulations of our model have revealed a number of novel cooperative transport phenomena, including (i) the…

Statistical Mechanics · Physics 2009-10-31 Imre Derenyi , Tamas Vicsek

An analysis is presented of a Brownian particle moving on the half-line, subject to a restoring force proportional to its displacement and an absorbing boundary at the origin. When the initial displacement is large, the central moments of…

Statistical Mechanics · Physics 2021-04-08 Michael J. Kearney , Richard J. Martin

Many studies on microscopic systems deal with Brownian particles embedded in media whose densities are different from that of the particles, causing them either to sink or float. The proximity to a wall modifies the friction force the…

Classical Physics · Physics 2011-08-17 Silvana Palacios , Victor Romero-Rochin , Karen Volke-Sepulveda

Up to date, inertial migration of particles in microflows has demonstrated a great potential for a wide range of applications. In particular, this phenomenon is used to achieve particle separation or sorting in a suspension. Recent works…

Soft Condensed Matter · Physics 2019-07-29 Tohme Tohme , Yanfeng Gao , Pascale Magaud , Lucien Baldas , Christine Lafforgue , Stéphane Colin

The active Brownian particle (ABP) model describes a swimmer, synthetic or living, whose direction of swimming is a Brownian motion. The swimming is due to a propulsion force, and the fluctuations are typically thermal in origin. We present…

Soft Condensed Matter · Physics 2022-07-18 Jean-Luc Thiffeault , Jiajia Guo

The steady, asymmetric and two-dimensional flow of viscous, incompressible micropolar fluid through a rectangular channel with a splitter (parallel to walls) was formulated and simulated numerically. The plane Poiseuille flow was considered…

Fluid Dynamics · Physics 2016-05-10 Abuzar Abid Siddiqui

We investigate the dynamics of Brownian particles in internal state- dependent symmetric and periodic potentials. Although no space or time symmetry of the Hamiltonian is broken, we show that directed transport can appear. We demonstrate…

Other Condensed Matter · Physics 2009-11-10 Laurent Sanchez-Palencia

Previous work shows that a net directed motion arises from a system of individual particles undergoing run-and-tumble dynamics in the presence of an array of asymmetric barriers. Here, we show that when the individual particle is replaced…

Soft Condensed Matter · Physics 2013-03-01 Mew-Bing Wan , YongSeok Jho

In microfluidic devices, inertia drives particles to focus on a finite number of inertial focusing streamlines. Particles on the same streamline interact to form one-dimensional microfluidic crystals (or "particle trains"). Here we develop…

Fluid Dynamics · Physics 2018-09-12 Kaitlyn Hood , Marcus Roper

The concept of entropy has been pivotal in the formulation of thermodynamics. For systems driven away from thermal equilibrium, a comparable role is played by entropy production and dissipation. Here we provide a comprehensive picture how…

Soft Condensed Matter · Physics 2025-05-15 Robin Bebon , Joshua F. Robinson , Thomas Speck

A flowing pair of particles in inertial microfluidics gives important insights into understanding and controlling the collective dynamics of particles like cells or droplets in microfluidic devices. They are applied in medical cell analysis…

Fluid Dynamics · Physics 2018-05-25 Christian Schaaf , Felix Rühle , Holger Stark

We compare the thermodynamic entropy of a quantum Brownian oscillator derived from the partition function of the subsystem with the von Neumann entropy of its reduced density matrix. At low temperatures we find deviations between these two…

Quantum Physics · Physics 2009-11-13 Christian Hoerhammer , Helmut Buettner

Brownian motion of single particles with various masses M and diameters D is studied by molecular dynamics simulations. Besides the momentum auto-correlation function of the Brownian particle the memory function and the fluctuating force…

Chemical Physics · Physics 2015-05-20 Hyun Kyung Shin , Changho Kim , Peter Talkner , Eok Kyun Lee

Transport and diffusion of paramagnetic ellipsoidal particles under the action of a rotating magnetic field are numerically investigated in a two-dimensional channel. It is found that paramagnetic ellipsoidal particles in a rotating…

Soft Condensed Matter · Physics 2018-08-01 Jingjing Liao , Weijing Zhu , Baoquan Ai

Flow of particles of two different species through a narrow channel with solely two discrete spatial positions is analyzed with respect to the species' capability to cooperate or compete for transport. In contrast to mean field approaches,…

Soft Condensed Matter · Physics 2017-12-13 Wolfgang Rudolf Bauer

We report a method to control the positions of ellipsoidal magnets in flowing channels of rectangular or circular cross section at low Reynolds number.A static uniform magnetic field is used to pin the particle orientation, and the…

Soft Condensed Matter · Physics 2018-08-15 Daiki Matsunaga , Andreas Zöttl , Fanlong Meng , Ramin Golestanian , Julia M. Yeomans

For a system of Brownian particles interacting via a soft exponential potential we investigate the interaction between equilibrium crystallization and spatially varying shear flow. For thermodynamic state points within the liquid part of…

Soft Condensed Matter · Physics 2017-11-07 Alberto Scacchi , Joseph M. Brader

Inertial lift forces are exploited within inertial microfluidic devices to position, segregate, and sort particles or droplets. However the forces and their focusing positions can currently only be predicted by numerical simulations, making…

Fluid Dynamics · Physics 2016-07-21 Kaitlyn Hood , Sungyon Lee , Marcus Roper

In this note we generalize entropy based on the quantum mechanical probability density distribution. Motivated by J. Munkhammar and the uncertainty of entropy we modified the origin wave function of the test particle. The corrected one…

High Energy Physics - Theory · Physics 2010-08-27 Bin Liu , Yun-Chuan Dai , Xian-Ru Hu , Jian-Bo Deng

The nature of particle and entropy flow between two superfluids is often understood in terms of reversible flow carried by an entropy-free, macroscopic wavefunction. While this wavefunction is responsible for many intriguing properties of…

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