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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

In the last decade, the study of pressure in active matter has attracted growing attention due to its fundamental relevance to nonequilibrium statistical physics. Active matter systems are composed of particles that consume energy to…

Soft Condensed Matter · Physics 2025-08-14 Guo Yu , Ruiyao Li , Fukang Li , Jiayu Zhang , Xiyue Li , Zequ Chen , Joscha Mecke , Yongxiang Gao

Colloidal particles with active boundary layers - regions surrounding the particles where nonequilibrium processes produce large velocity gradients - are common in many physical, chemical and biological contexts. The velocity or stress at…

Soft Condensed Matter · Physics 2015-07-14 Rajesh Singh , Somdeb Ghose , R. Adhikari

We consider a dilute gas of inertial particles transported by the turbulent flow. Due to inertia the particles concentrate preferentially outside vortices. The pair-correlation function of the particles' concentration is known to obey at…

Chaotic Dynamics · Physics 2012-01-16 Itzhak Fouxon

We present a comprehensive computational study of the collective behavior emerging from the competition between self-propulsion, excluded volume interactions and velocity-alignment in a two-dimensionnal model of active particles. We…

Soft Condensed Matter · Physics 2018-01-08 Aitor Martín-Gómez , Demian Levis , Albert Díaz-Guilera , Ignacio Pagonabarraga

We analyze the dynamics of an active tracer particle embedded in a thermal lattice gas. All particles are subject to exclusion up to third nearest neighbors on the square lattice, which leads to slow dynamics at high densities. For the case…

Soft Condensed Matter · Physics 2019-04-15 Rakesh Chatterjee , Nimrod Segall , Carl Merrigan , Kabir Ramola , Bulbul Chakraborty , Yair Shokef

We study exclusion processes on the integer lattice in which particles change their velocities due to stickiness. Specifically, whenever two or more particles occupy adjacent sites, they stick together for an extended period of time, and…

Probability · Mathematics 2016-08-11 Miklós Z. Rácz , Mykhaylo Shkolnikov

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…

A realistic description of active particles should include interactions with the medium, commonly a momentum-conserving simple fluid, in which they are suspended. In this work, we consider a multi-species suspension of self-diffusiophoretic…

Statistical Mechanics · Physics 2025-02-12 Gennaro Tucci , Giulia Pisegna , Ramin Golestanian , Suropriya Saha

Many biological processes are supported by special molecules, called motor proteins or molecular motors, that transport cellular cargoes along linear protein filaments and can reversibly associate to their tracks. Stimulated by these…

Statistical Mechanics · Physics 2021-11-17 Akriti Jindal , Anatoly B. Kolomeisky , Arvind Kumar Gupta

Active particles which are self-propelled by converting energy into mechanical motion represent an expanding research realm in physics and chemistry. For micron-sized particles moving in a liquid ("microswimmers"), most of the basic…

Soft Condensed Matter · Physics 2020-02-19 Hartmut Löwen

In this work, we study the dynamics of a single active Brownian particle, as well as the collective behavior of interacting active Brownian particles, in a fluctuating heterogeneous environment. We employ a variant of the diffusing…

Soft Condensed Matter · Physics 2022-01-05 S. M. J. Khadem , N. H. Siboni , S. H. L. Klapp

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 study the two-dimensional overdamped motion of an active particle whose orientational dynamics is subject to fractional Brownian noise, whereas its position is affected by self-propulsion and Brownian fluctuations. From a Langevin-like…

Statistical Mechanics · Physics 2020-07-21 Juan Ruben Gomez-Solano , Francisco J. Sevilla

Using an additivity property, we study particle-number fluctuations in a system of interacting self-propelled particles, called active Brownian particles (ABPs), which consists of repulsive disks with random self-propulsion velocities. From…

Statistical Mechanics · Physics 2016-05-16 Subhadip Chakraborti , Shradha Mishra , Punyabrata Pradhan

Self-propelled particles accumulate on repulsive barriers in so-called active wetting, but the relationship between this process and equilibrium wetting remains unclear. Using an exact (noiseless) hydrodynamic framework for an active…

Statistical Mechanics · Physics 2025-12-10 Noah Grodzinski , Robert L. Jack , Michael E. Cates

A recently introduced particle-based model for fluid dynamics with effective excluded volume interactions is analyzed in detail. The interactions are modeled by means of stochastic multiparticle collisions which are biased and depend on…

Soft Condensed Matter · Physics 2007-05-23 Thomas Ihle , Erkan Tuzel

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

We consider the hydrodynamic scaling behavior of the mass density with respect to a general class of mass conservative interacting particle systems on ${\mathbb Z}^n$, where the jump rates are asymmetric and long-range of order…

Probability · Mathematics 2018-02-28 Sunder Sethuraman , Doron Shahar

In equilibrium, the collective behaviour of particles interacting via steep, short-ranged potentials is well captured by the virial expansion of the free energy at low density. Here, we extend this approach beyond equilibrium to the case of…

Soft Condensed Matter · Physics 2023-06-21 Yuting Irene Li , Rosalba Garcia-Millan , Michael E. Cates , Étienne Fodor