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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…

统计力学 · 物理学 2009-10-31 Dibyendu Das , Mustansir Barma

We demonstrate particle clustering on macroscopic scales in a coupled nonequilibrium system where two species of particles are advected by a fluctuating landscape and modify the landscape in the process. The phase diagram generated by…

统计力学 · 物理学 2016-05-24 Shauri Chakraborty , Sukla Pal , Sakuntala Chatterjee , 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…

统计力学 · 物理学 2013-05-29 Apoorva Nagar , Satya N. Majumdar , Mustansir Barma

The Kardar-Parisi-Zhang (KPZ) equation is a stochastic partial differential equation which is derived from various microscopic models, and to establish a robust way to derive the KPZ equation is a fundamental problem both in mathematics and…

概率论 · 数学 2023-06-08 Kohei Hayashi

The statistics of the fluctuations of quantum many-body systems are highly revealing of their nature. In driven-dissipative systems displaying macroscopic quantum coherence, as exciton polariton condensates under incoherent pumping, the…

The deposition dynamics of particles (or the growth of a rigid crystal) on a disordered substrate at a finite deposition rate is explored. We begin with an equation of motion which includes, in addition to the disorder, the periodic…

凝聚态物理 · 物理学 2009-10-22 Yan-Chr Tsai , Yonathan Shapir

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…

软凝聚态物质 · 物理学 2019-01-15 Tapas Singha , Mustansir Barma

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…

统计力学 · 物理学 2007-05-23 Dibyendu Das , Mustansir Barma , Satya N. Majumdar

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…

统计力学 · 物理学 2009-11-11 Apoorva Nagar , Mustansir Barma , Satya N. Majumdar

Kardar-Parisi-Zhang (KPZ) scaling has been observed in discrete polariton lattices, enabled by engineered band structures that stabilize the condensate. Whether this universality extends to intrinsically continuous systems with natural…

量子气体 · 物理学 2026-04-17 Mikhail Misko , Natalia Starkova , Pavlos G. Lagoudakis

Revealing universal behaviors is a hallmark of statistical physics. Phenomena such as the stochastic growth of crystalline surfaces, of interfaces in bacterial colonies, and spin transport in quantum magnets all belong to the same…

Growth in crystals can be { usually } described by field equations such as the Kardar-Parisi-Zhang (KPZ) equation. While the crystalline structure can be characterized by Euclidean geometry with its peculiar symmetries, the growth dynamics…

Phase separation plays a central role in the emergence of novel functionalities of correlated electron materials. The structure of the mixed-phase states depends strongly on the nonequilibrium phase-separation dynamics, which has so far yet…

强关联电子 · 物理学 2023-03-21 Sheng Zhang , Puhan Zhang , Gia-Wei Chern

We show that the multicomponent Kardar-Parisi-Zhang equation describes the low-energy theory for phase fluctuations in a $\mathbb{Z}_{2}$ degenerate non-equilibrium driven-dissipative condensate with global $U(1)\times U(1)$ symmetry. Using…

量子气体 · 物理学 2024-11-12 Harvey Weinberger , Paolo Comaron , Marzena H. Szymańska

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…

统计力学 · 物理学 2009-11-13 Mustansir Barma

We numerically investigate the scaling properties of a one-dimensional driven-dissipative condensate described by a stochastic complex Ginzburg-Landau equation (SCGLE). We directly extract the static and dynamical scaling exponents from the…

统计力学 · 物理学 2015-10-20 Liang He , Lukas M. Sieberer , Ehud Altman , Sebastian Diehl

We study a coupled driven system in which two species of particles are advected by a fluctuating potential energy landscape. While the particles follow the potential gradient, each species affects the local shape of the landscape in…

统计力学 · 物理学 2017-08-23 Shauri Chakraborty , Sakuntala Chatterjee , Mustansir Barma

We define a stochastic lattice model for a fluctuating directed polymer in $d\geq 2$ dimensions. This model can be alternatively interpreted as a fluctuating random path in 2 dimensions, or a one-dimensional asymmetric simple exclusion…

统计力学 · 物理学 2017-09-20 G. M. Schütz , B. Wehefritz-Kaufmann

We study binary mixtures of small active and big passive athermal particles interacting via soft repulsive forces on a frictional substrate. Athermal self propelled particles are known to phase separate into a dense aggregate and a dilute…

软凝聚态物质 · 物理学 2018-07-05 Pritha Dolai , Aditi Simha , Shradha Mishra

Self-propelled particles phase separate into coexisting dense and dilute regions above a critical density. The statistical nature of their stochastic motion lends itself to various theories that predict the onset of phase separation.…

软凝聚态物质 · 物理学 2018-04-25 Isaac R. Bruss , Sharon C. Glotzer
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