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Transport phenomena in complex and dynamic microscopic environments are fundamentally shaped by hydrodynamic interactions. In particular, microparticle transport in porous media is governed by the delicate interplay between…

When two molecular species with mutual affinity are mixed together, various self-assembled phases can arise at low temperature, depending on the shape of like and unlike interactions. Among them, stripes -- where layers of one type are…

Soft Condensed Matter · Physics 2026-01-21 Gabriele Costa , Santi Prestipino

Natural phenomena frequently involve a very large number of interacting molecules moving in confined regions of space. Cellular transport by motor proteins is an example of such collective behavior. We derive a deterministic compartmental…

Subcellular Processes · Quantitative Biology 2017-11-01 Yoram Zarai , Michael Margaliot , Anatoly B. Kolomeisky

We investigate both experimentally and theoretically the traffic of particles flowing in microfluidic obstacle networks. We show that the traffic dynamics is a non-linear process: the particle current does not scale with the particle…

Statistical Mechanics · Physics 2015-05-19 Nicolas Champagne , Romain Vasseur , Adrien Montourcy , Denis Bartolo

Intracellular transport processes driven by molecular motors can be described by stochastic lattice models of self-driven particles. Here we focus on bidirectional transport models excluding the exchange of particles on the same track. We…

Biological Physics · Physics 2015-05-27 M. Ebbinghaus , C. Appert-Rolland , L. Santen

We investigate the transport and separation of overdamped particles under the action of a uniform external force in a two-dimensional periodic energy landscape. Exact results are obtained for the deterministic transport in a square lattice…

Soft Condensed Matter · Physics 2013-05-29 John Herrmann , Michael Karweit , German Drazer

Asymmetric obstacles can be exploited to direct the motion and induce sorting of run-and-tumbling particles. In this work, we show that flocking particles which follow the Vicsek model aligning rules experience a collective trapping in the…

Soft Condensed Matter · Physics 2019-12-02 Raul Martinez , Francisco Alarcon , Juan Luis Aragones , Chantal Valeriani

Random walks of particles on a lattice are a classical paradigm for the microscopic mechanism underlying diffusive processes. In deterministic walks, the role of space and time can be reversed, and the microscopic dynamics can produce quite…

Statistical Mechanics · Physics 2009-11-11 Jean Pierre Boon

Wakes created by a parton moving through a static and infinitely extended quark-gluon plasma are considered. In contrast to former investigations collisions within the quark-gluon plasma are taken into account using a transport theoretical…

High Energy Physics - Phenomenology · Physics 2008-11-26 Purnendu Chakraborty , Munshi Golam Mustafa , Rajarshi Ray , Markus H. Thoma

We study the interaction between a pair of particles suspended in a uniform oscillatory flow. The time-averaged behavior of particles under these conditions, driven by inertial and viscous effects, is explored through a theoretical…

Fluid Dynamics · Physics 2025-03-10 Xiaokang Zhang , Bhargav Rallabandi

We discuss biologically inspired, inherently non-equilibrium self-propelled particle models, in which the particles interact with their neighbours by choosing at each time step the local average direction of motion. We summarize some of the…

Statistical Mechanics · Physics 2007-05-23 Andras Czirok , Tamas Vicsek

A one-dimensional driven diffusive system with two types of particles and nearest neighbors interactions has been considered on a finite lattice with open boundaries. The particles can enter and leave the system from both ends of the…

Statistical Mechanics · Physics 2009-11-11 Farhad H. Jafarpour

We use probabilistic methods to study properties of mean-field models, arising as large-scale limits of certain particle systems with mean-field interaction. The underlying particle system is such that $n$ particles move forward on the real…

Probability · Mathematics 2022-04-19 Alexander Stolyar

Patterns are quotidian in nature. Distinct multiscale patterns are generally a consequence of nonequilibrium dynamical processes associated with mechanical or hydrodynamic instabilities. In this thesis, I report experimental investigations…

Soft Condensed Matter · Physics 2019-05-30 Xiaolei Ma

A macroscopic hydrodynamic system that couples a particle and a wave has recently renewed interest in the question as to what extent a classical system may reproduce quantum phenomena. Here we investigate single-particle diffraction with a…

Fluid Dynamics · Physics 2024-10-31 Giuseppe Pucci , Antoine Bellaigue , Alessia Cirimele , Giuseppe Ali , Anand U. Oza

Via mechanisms not accessible at equilibrium, self-propelled particles can form phases with positional order, such as crystals, and with orientational order, such as polar flocks. However, the interplay between these two types of order…

Soft Condensed Matter · Physics 2025-08-13 Till Welker , Ricard Alert

We study the drift of suspended micro-particles in a viscous liquid pumped back and forth through a periodic lattice of pores (drift ratchet). In order to explain the particle drift observed in such an experiment, we present an…

Fluid Dynamics · Physics 2012-05-22 Philippe Beltrame , Peter Talkner , Peter Hänggi

One common feature of a vehicle, an ant and a kinesin motor is that they all convert chemical energy, derived from fuel or food, into mechanical energy required for their forward movement; such objects have been modelled in recent years as…

Statistical Mechanics · Physics 2009-11-10 Debashish Chowdhury

Small particles transported by a fluid medium do not necessarily have to follow the flow. We show that for a wide class of time-periodic incompressible flows inertial particles have a tendency to spontaneously align in one-dimensional…

Fluid Dynamics · Physics 2015-05-28 Dmitri Pushkin , Denis Melnikov , Valentina Shevtsova

In this paper we apply the lattice-Boltzmann method and an extension to particle suspensions as introduced by Ladd et al. to study transport phenomena and structuring effects of particles suspended in a fluid near sheared solid walls. We…

Soft Condensed Matter · Physics 2007-05-23 A. Komnik , J. Harting , H. J. Herrmann