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How does a steady state with strong intermittency develop in time from an initial state which is statistically random? For passive sliders driven by various fluctuating surfaces, we show that the approach involves an indefinitely growing…

Statistical Mechanics · Physics 2018-02-07 Tapas Singha , Mustansir Barma

We study the clustering of passive, non-interacting particles moving under the influence of a fluctuating field and random noise, in one dimension. The fluctuating field in our case is provided by a surface governed by the…

Statistical Mechanics · Physics 2013-05-29 Apoorva Nagar , Satya N. Majumdar , Mustansir Barma

We study clustering in a stochastic system of particles sliding down a fluctuating surface in one and two dimensions. In steady state, the density-density correlation function is a scaling function of separation and system size.This scaling…

Statistical Mechanics · Physics 2009-11-13 Mustansir Barma

The steady state reached by a system of particles sliding down a fluctuating surface has interesting properties. Particle clusters form and break rapidly, leading to a broad distribution of sizes and large fluctuations. The density-density…

Statistical Mechanics · Physics 2015-05-13 Apoorva Nagar , Mustansir Barma

We study the dynamics of a system of hard-core particles sliding downwards on a one dimensional fluctuating interface, which in a special case can be mapped to the problem of a passive scalar advected by a Burgers fluid. Driven by the…

Statistical Mechanics · Physics 2009-11-11 Sakuntala Chatterjee , Mustansir Barma

We study the clustering properties of particles sliding downwards on a fluctuating surface evolving through the Kardar-Parisi-Zhang equation, a problem equivalent to passive scalars driven by a Burgers fluid. Monte Carlo simulations on a…

Statistical Mechanics · Physics 2009-11-11 Apoorva Nagar , Mustansir Barma , Satya N. Majumdar

We study the clustering properties of advected, non-interacting,passive scalar particles in a Burgers fluid with noise, a problem which maps to that of passive sliding particles moving under gravity on a surface evolving through the…

Statistical Mechanics · Physics 2007-05-23 Apoorva Nagar , Mustansir Barma , Satya N. Majumdar

We study a system of hard-core particles sliding downwards on a fluctuating one-dimensional surface which is characterized by a dynamical exponent $z$. In numerical simulations, an initially random particle density is found to coarsen and…

Statistical Mechanics · Physics 2009-10-31 Dibyendu Das , Mustansir Barma

We investigate the steady-state organisation of active particles residing on an interface. Particle activity induces interface deformations, while the local shape of the interface guides particle movement. We consider multiple species of…

Soft Condensed Matter · Physics 2025-05-28 Love Grover , Rajeev Kapri , Abhishek Chaudhuri

We study a two-dimensional model for interacting colloidal particles which displays spontaneous clustering. Within this model we investigate the competition between the pinning to a periodic corrugation potential, and a sideways constant…

Soft Condensed Matter · Physics 2018-05-23 Mirko Rossini , Lorenzo Consonni , Andrea Stenco , Luciano Reatto , Nicola Manini

Clustering is one of the mayor collective phenomena observed in active matter. We study the overdamped motion of interacting active Brownian particles in two dimensions. An instability in the pair correlation function causes the onset of…

Soft Condensed Matter · Physics 2024-03-18 Rüdiger Kürsten

We study flocking in one dimension, introducing a lattice model in which particles can move either left or right. We find that the model exhibits a continuous nonequilibrium phase transition from a condensed phase, in which a single `flock'…

Statistical Mechanics · Physics 2009-10-31 O. J. O'Loan , M. R. Evans

Cluster growth in a coagulating system of active particles (such as microswimmers in a solvent) is studied by theory and simulation. In contrast to passive systems, the net velocity of a cluster can have various scalings dependent on the…

Soft Condensed Matter · Physics 2014-03-21 P. Cremer , H. Löwen

We study the motion of small inertial particles in stratified turbulence. We derive a simplified model, valid within the Boussinesq approximation, for the dynamics of small particles in presence of a mean linear density profile. By means of…

Fluid Dynamics · Physics 2015-09-14 A. Sozza , F. De Lillo , S. Musacchio , G. Boffetta

There are rich emergent phase behaviors in non-equilibrium active systems. Flocking and clustering are two representative dynamic phases. The relationship between these two phases is still unclear. In the paper, we numerically investigate…

Soft Condensed Matter · Physics 2023-08-09 Lu Chen , Bokai Zhang , Z. C. Tu

We introduce a simple model of active transport for an ensemble of particles driven by an external shear flow. Active refers to the fact that the flow of the particles is modified by the distribution of particles itself. The model consists…

Exactly Solvable and Integrable Systems · Physics 2009-11-10 Cristobal Lopez

We present an experimental study of the statistical properties of millimeter-size spheres floating on the surface of a turbulent flow. The flow is generated in a layer of liquid metal by an electromagnetic forcing. By using two magnet…

Fluid Dynamics · Physics 2016-07-04 Pablo Gutiérrez , Sébastien Aumaître

We study the early time and coarsening dynamics in the Light-Heavy model, a system consisting of two species of particles ($light$ and $heavy$) coupled to a fluctuating surface (described by tilt fields). The dynamics of particles and tilts…

Statistical Mechanics · Physics 2020-12-17 Samvit Mahapatra , Kabir Ramola , Mustansir Barma

We propose a simple model for periodic clustering of particles under forced oscillation. Effective viscosity is assumed to increase owing to neighboring particles by analogy with the Einstein viscosity law. The linear stability analysis and…

Pattern Formation and Solitons · Physics 2026-02-12 Hidetsugu Sakaguchi

Inertial particles suspended in many natural and industrial flows undergo coagulation upon collisions and fragmentation if their size becomes too large or if they experience large shear. Here we study this coagulation-fragmentation process…

Chaotic Dynamics · Physics 2009-08-20 Jens C. Zahnow , Rafael D. Vilela , Ulrike Feudel , Tamás Tél
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