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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 show that a scaling approach successfully characterizes clustering and intermittency in space and time, in systems of noninteracting particles driven by fluctuating surfaces. We study both the steady state and the approach to it, for…

Soft Condensed Matter · Physics 2019-01-15 Tapas Singha , Mustansir Barma

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 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

In systems exhibiting fluctuation-dominated phase ordering, a single order parameter does not suffice to characterize the order, and it is necessary to monitor a larger set. For hard-core sliding particles (SP) on a fluctuating surface and…

Statistical Mechanics · Physics 2016-02-17 Rajeev Kapri , Malay Bandyopadhyay , Mustansir Barma

Fluctuation-dominated phase ordering refers to a steady state in which the magnitude of long-range order varies strongly owing to fluctuations, and to the associated coarsening phenomena during the approach to steady state. Strong…

Statistical Mechanics · Physics 2023-07-21 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 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 a new kind of phase ordering phenomenon in coarse-grained depth (CD) models of the hill-valley profile of fluctuating surfaces with zero overall tilt, and for hard-core particles sliding on such surfaces under gravity. For…

Statistical Mechanics · Physics 2007-05-23 Dibyendu Das , Mustansir Barma , Satya N. Majumdar

We study the fluctuations of particles sliding on a stochastically growing surface. This problem can be mapped to motion of passive scalars in a randomly stirred Burger's flow. Renormalization group studies, simulations, and scaling…

Statistical Mechanics · Physics 2009-11-07 Barbara Drossel , Mehran Kardar

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

Many physical systems, including some examples of active matter, granular assemblies, and biological systems, show fluctuation-dominated phase ordering (FDPO), where macroscopic fluctuations coexist with long-range order. Most of these…

Statistical Mechanics · Physics 2025-07-14 Souvik Sadhukhan , Mustansir Barma , Saroj Kumar Nandi

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 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

Nonequilibrium surface autocorrelation and autoresponse functions are studied numerically in semi-infinite critical systems in the dynamical scaling regime. Dynamical critical behaviour is examined for a nonconserved order parameter in…

Statistical Mechanics · Physics 2009-11-10 Michel Pleimling

We construct the hydrodynamic theory of coherent collective motion ("flocking") at a solid-liquid interface. The polar order parameter and concentration of a collection of "active" (self-propelled) particles at a planar interface between a…

Soft Condensed Matter · Physics 2022-01-05 Niladri Sarkar , Abhik Basu , John Toner

Phase separation driven by nonequilibrium fluctuations is a hallmark of both living and synthetic active matter. Unlike equilibrium systems, where ordered states arise from the minimization of free energy, active systems are fueled by a…

Models of particles driven by a one-dimensional fluctuating surface are known to exhibit fluctuation dominated phase ordering (FDPO), in which both the order and fluctuations appear on macroscopic scales. Highly dynamic and macroscopically…

Statistical Mechanics · Physics 2023-04-26 Arghya Das , Mustansir Barma

We analyze correlations between density fluctuations and between current fluctuations in a one-dimensional driven lattice gas with repulsive nearest-neighbor interaction and in single-file Brownian motion of hard spheres dragged across a…

Statistical Mechanics · Physics 2025-04-30 Sören Schweers , Gunter M. Schütz , Philipp Maass

We study stationary fluctuations of conserved slow modes in a two-lane model of hardcore particles which are expected to show universal behaviour. Specifically, we focus on the properties of fluctuations at a special umbilic point where the…

Statistical Mechanics · Physics 2025-09-08 Johannes Schmidt , Žiga Krajnik , Vladislav Popkov
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