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We characterize the multifractal behavior of Brownian motion in the vicinity of an absorbing star polymer. We map the problem to an O(M)-symmetric phi^4-field theory relating higher moments of the Laplacian field of Brownian motion to…

Condensed Matter · Physics 2016-08-31 Christian von Ferber , Yurij Holovatch

Motivated by the anomalous diffusion observed in clusters of active Brownian particles (ABPs), where the center-of-mass diffusion coefficient scales as $D\sim N^{-1/2}$ with respect to the number $N$ of particles in the cluster, we derive a…

Statistical Mechanics · Physics 2026-05-07 Daniela Moretti , Pasquale Digregorio , Giuseppe Gonnella , Antonio Suma

The migration of a Brownian fluid droplet in a parallel-plate microchannel was investigated using dissipative particle dynamics computer simulations. In a Newtonian solvent, the droplet migrated toward the channel walls due to inertial…

Soft Condensed Matter · Physics 2019-04-16 Michael P. Howard , Thomas M. Truskett , Arash Nikoubashman

We examine entanglements using monomer contacts between pairs of chains in a Brownian-dynamics simulation of a polymer melt. A map of contact positions with respect to the contacting monomer numbers (i,j) shows clustering in small regions…

Condensed Matter · Physics 2009-10-28 E. Ben-Naim , G. S. Grest , T. A. Witten , A. R. C. Baljon

We present a detailed study of the statistics of a system of diffusing aggregating particles with a steady monomer source. We emphasise the case of low spatial dimensions where strong diffusive fluctuations invalidate the mean-field…

Statistical Mechanics · Physics 2009-11-11 Colm Connaughton , R. Rajesh , Oleg Zaboronski

Random walks and diffusions in symmetric random environment are known to exhibit metastable behavior: they tend to stay for long times in wells of the environment. For the case that the environment is a one-dimensional two-sided standard…

Probability · Mathematics 2013-08-30 Dimitris Cheliotis

While the dynamics of polymer chains in equilibrium media is well understood by now, the polymer dynamics in active non-equilibrium environments can be very different. Here we study the dynamics of polymers in a viscous medium containing…

Soft Condensed Matter · Physics 2017-06-23 Jaeoh Shin , Andrey G. Cherstvy , Won Kyu Kim , Vasily Zaburdaev

We present a theory for the steady-state dynamics of a two-dimensional system of spherically symmetric active Brownian particles. The derivation of the theory consists of two steps. First, we integrate out the self-propulsions and obtain a…

Soft Condensed Matter · Physics 2019-05-01 Grzegorz Szamel

We study size- and charge-asymmetric oppositely charged colloids driven by an external electric field. The large particles are connected by harmonic springs, forming a hexagonal-lattice network while the small particles are free of bonds…

Soft Condensed Matter · Physics 2023-04-24 Dingwen Qian , Monica Olvera de la Cruz

We perform numerical simulations of isolated, partially active polymers, driven out-of-equilibrium by a fraction of their monomers. We show that, if the active beads are all gathered in a contiguous block, the position of the section along…

Soft Condensed Matter · Physics 2023-09-04 Marin Vatin , Sumanta Kundu , Emanuele Locatelli

Using high precision Monte Carlo simulations and a mean-field theory, we explore coarsening phenomena in a simple driven diffusive system. The model is reminiscent of vehicular traffic on a two-lane ring road. At sufficiently high density,…

Statistical Mechanics · Physics 2009-11-11 I. T. Georgiev , B. Schmittmann , R. K. P. Zia

We investigate a two-dimensional system of active Brownian dumbbells using molecular dynamics simulations. In this model, each dumbbell is driven by an active force oriented perpendicular to the axis connecting its two constituent beads. We…

The physical and chemical properties of metal nanoparticles differ significantly from those of free metal atoms as well as from the properties of bulk metals, and therefore, they may be viewed as a transition regime between the two physical…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Horacio G. Rotstein , Amy Novick-Cohen , Rina Tannenbaum

Fractional Brownian motion, a stochastic process with long-time correlations between its increments, is a prototypical model for anomalous diffusion. We analyze fractional Brownian motion in the presence of a reflecting wall by means of…

Statistical Mechanics · Physics 2018-02-21 Alexander H. O. Wada , Thomas Vojta

We study the motion of an inertial particle in a fractional Gaussian random field. The motion of the particle is described by Newton's second law, where the force is proportional to the difference between a background fluid velocity and the…

Dynamical Systems · Mathematics 2012-03-20 Georg Schöchtel

We have experimentally investigated field induced aggregation of nonmagnetic particles confined in a magnetic fluid layer when rotating magnetic fields were applied. After application of a magnetic field rotating in the plane of the fluid…

Soft Condensed Matter · Physics 2009-11-13 Jozef Černák , Geir Helgesen

Based on Brownian dynamics simulations we study the collective behavior of a twodimensional system of repulsively interacting colloidal particles, where each particle is propelled by a repulsive feedback force with time delay $\tau$.…

Soft Condensed Matter · Physics 2023-07-12 Robin A. Kopp , Sabine H. L. Klapp

We investigate the Brownian diffusion of particles in one spatial dimension and in the presence of finite regions within which particles can either evaporate or be reset to a given location. For open boundary conditions, we highlight the…

Statistical Mechanics · Physics 2020-11-04 Gennaro Tucci , Andrea Gambassi , Shamik Gupta , Édgar Roldán

We present a study of the scaling properties of cluster-cluster aggregation with a source of monomers in the stationary state when the spatial transport of particles occurs by Levy flights. We show that the transition from mean-field…

Classical Physics · Physics 2010-05-11 Colm Connaughton , Jamie Harris

Steady state dynamics of clustering, long range order, and inelastic collapse are experimentally observed in vertically shaken granular monolayers. At large vibration amplitudes, particle correlations show only short range order like…

Soft Condensed Matter · Physics 2009-10-31 J. S. Olafsen , J. S. Urbach