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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

The effect of interactions on dynamics of coupled motor proteins is investigated theoretically. A simple stochastic discrete model, that allows to calculate explicitly the dynamic properties of the system, is developed. It is shown that…

Soft Condensed Matter · Physics 2009-11-11 Evgeny B. Stukalin , Anatoly B. Kolomeisky

The stationary states of systems with many molecular motors are studied theoretically for uniaxial and centered (aster-like) arrangements of cytoskeletal filaments using Monte Carlo simulations and a two-state model. Mutual exclusion of…

Subcellular Processes · Quantitative Biology 2007-05-23 Stefan Klumpp , Theo M. Nieuwenhuizen , Reinhard Lipowsky

Normal mode dynamics are ubiquitous underlying the motions of diverse systems from rotating stars to crystal structures. These behaviors are composed of simple collective motions of particles which move with the same frequency and phase,…

Quantum Gases · Physics 2020-07-15 D. K. Watson

Granular materials are inherently out-of-equilibrium systems due to energy dissipation through inelastic collisions and friction. When driven by mechanical agitation such as vibration, they exhibit rich collective behaviors including…

Soft Condensed Matter · Physics 2026-05-01 Kai Kono , Hiroyuki Ebata , Shio Inagaki

In this paper we consider interacting particle systems which are frequently used to model collective behavior in animal swarms and other applications. We study the stability of orientationally aligned formations called flock solutions, one…

Dynamical Systems · Mathematics 2014-03-31 J. A. Carrillo , Y. Huang , S. Martin

We study a system of self-propelled particles which interact with their neighbors via alignment and repulsion. The particle velocities result from self-propulsion and repulsion by close neighbors. The direction of self-propulsion is…

Mathematical Physics · Physics 2014-04-22 Pierre Degond , Giacomo Dimarco , Thi Bich Ngoc Mac , Nan Wang

By studying a system of Brownian particles, interacting only through a local social-like force (velocity alignment), we show that self-propulsion is not a necessary feature for the flocking transition to take place as long as underdamped…

Statistical Mechanics · Physics 2015-07-31 Victor Dossetti , Francisco J. Sevilla

We present a consistent theory of energy balance and conversion in a single-molecule junction with strong interactions between electrons on the molecular linker (dot) and phonons in the nuclear environment where the Marcus-type electron…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Natalya A. Zimbovskaya , Abraham Nitzan

A longstanding goal in colloidal active matter is to understand how gradients in fuel concentration influence the motion of phoretic Janus particles. Here, we present a theoretical description of the motion of a spherical phoretic Janus…

Soft Condensed Matter · Physics 2025-05-28 Parvin Bayati , Stewart A. Mallory

Two hallmarks of non-equilibrium systems, from active colloids to animal herds, are agents motility and nonreciprocal interactions. Their interplay creates feedback loops leading to complex spatiotemporal dynamics crucial to understand and…

Statistical Mechanics · Physics 2025-09-17 David Martin , Daniel Seara , Yael Avni , Michel Fruchart , Vincenzo Vitelli

We study the effects of heterogeneity on interfacial pinning and hydrodynamic drag using molecular dynamics (MD) simulations of Janus nanospheres at a liquid/vapor interface. We construct the free energy landscape for this system, both in…

Soft Condensed Matter · Physics 2019-04-17 Joel Koplik , Charles Maldarelli

Autocatalytic processes underlie diverse systems in which replication is triggered at interfaces, including heterogeneous catalysis on solid substrates, enzyme activity at membranes, viral infections, biofilm growth, and spatially…

Chemical Physics · Physics 2026-04-24 Denis S. Grebenkov

We provide an experimental proof-of-concept for a robust, continuously rotating microstructure - consisting of two metallodielectric (gold-polystyrene)Janus particles rigidly attached to each other - which is driven in uniform ac fields by…

Fluid Dynamics · Physics 2014-09-22 Alicia Boymelgreen , Gilad Yossifon , Sinwook Park , Touvia Miloh

Motivated by the theory of reaction kinetics based on nonequilibrium thermodynamics and the linear stability of driven reaction-diffusion, we apply the Fokker-Planck equation to describe the population dynamics of an ensemble of reactive…

Chemical Physics · Physics 2019-07-31 Hongbo Zhao , Martin Z. Bazant

Chemically active Janus particles generate tangential concentration gradients along their surface for self-propulsion. Although this is well studied in unbounded domains, the analysis in biologically relevant environments such as…

Soft Condensed Matter · Physics 2021-11-29 Akash Choudhary , K. V. S. Chaithanya , Sébastien Michelin , S. Pushpavanam

Evolution of a system of diffusing and proliferating mortal reactants is analyzed in the presence of randomly moving catalysts. While the continuum description of the problem predicts reactant extinction as the average growth rate becomes…

Soft Condensed Matter · Physics 2009-10-31 N. M. Shnerb , E. Bettelheim , Y. Louzoun , O. Agam , S. Solomon

In non-equilibrium statistical physics, active matters in both living and non-living systems have been extensively studied. In particular, self-propelled particle systems provide challenging research subjects in experimental and theoretical…

Statistical Mechanics · Physics 2025-02-13 Saori Morimoto , Makoto Katori , Hiraku Nishimori

Self-organization of kinesin-driven, microtubule-based 3D active fluids relies on the collective dynamics of single microtubules. However, the connection between macroscopic fluid flows and microscopic motion of microtubules remains…

Soft Condensed Matter · Physics 2019-04-29 Teagan E. Bate , Edward J. Jarvis , Megan E. Varney , Kun-Ta Wu

A Quincke roller is a unique active particle that can run and tumble freely on a flat plate due to the torque generated by a uniform DC electric field applied perpendicular to the plate. A system involving many such particles exhibits a…

Soft Condensed Matter · Physics 2023-02-06 Shun Imamura , Kohei Sawaki , John J. Molina , Matthew S. Turner , Ryoichi Yamamoto
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