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The step motions considered are those in which crystallization is controlled by a single diffusion process, either the substance diffusion for growth from solution or the flow of latent heat from the step for growth from melt. Quasi-static…

凝聚态物理 · 物理学 2009-10-22 Serge Yu. Potapenko

The avalanche mixing of granular solids in a slowly rotated 2D upright drum is studied. We demonstrate that the account of the difference $\delta$ between the angle of marginal stability and the angle of repose of the granular material…

统计力学 · 物理学 2009-10-31 S. N. Dorogovtsev , J. F. F. Mendes

Dilute granular flows are routinely described by collisional kinetic theory, but dense flows require a fundamentally different approach, due to long-lasting, many-body contacts. In the case of silo drainage, many continuum models have been…

统计力学 · 物理学 2007-05-23 Martin Z. Bazant

Starting from a simple animal-biology example, a general, somewhat counter-intuitive property of diffusion random walks is presented. It is shown that for any (non-homogeneous) purely diffusing system, under any isotropic uniform incidence,…

统计力学 · 物理学 2019-02-20 Stephane Blanco , Fournier Richard

Turing patterns emerge from a spatially uniform state following a linear instability driven by diffusion. Features of the eventual pattern (stabilized by non-linearities) are already present in the initial unstable modes. On a uniform flat…

软凝聚态物质 · 物理学 2019-01-31 John R. Frank , Jemal Guven , Mehran Kardar , Henry Shackleton

Recent studies have shown that in the presence of noise both fronts propagating into a metastable state and so-called pushed fronts propagating into an unstable state, exhibit diffusive wandering about the average position. In this paper we…

统计力学 · 物理学 2016-08-31 Andrea Rocco , Jaume Casademunt , Ute Ebert , Wim van Saarloos

Random metastability occurs when an externally forced or noisy system possesses more than one state of apparent equilibrium. This work investigates fluctuations in a class of random dynamical systems, arising from randomly perturbing a…

动力系统 · 数学 2025-05-30 Cecilia González-Tokman , Joshua Peters

Turbulent separated flows in axisymmetric expansions can sustain fundamentally different transport organization despite nearly identical mean topology. Using stereo-PIV and time-resolved planar PIV, we compare abrupt $90^\circ$ (step) and…

流体动力学 · 物理学 2026-03-23 Jibu Tom Jose , Gal Friedmann , Omri Ram

Biological systems are majorly dependent on their property of bistability in order to exhibit nongenetic heterogeneity in terms of cellular morphology and physiology. Spatial patterns of phenotypically heterogeneous cells, arising due to…

定量方法 · 定量生物学 2023-01-25 Priya Chakraborty , Ushasi Roy , Mohit K. Jolly , Sayantari Ghosh

The morphological development of step edge patterns in the presence of meandering instability during step flow growth is studied by simulations and numerical integration of a continuum model. It is demonstrated that the kink…

材料科学 · 物理学 2009-11-07 M. Rusanen , I. T. Koponen , T. Ala-Nissila , C. Ghosh , T. S. Rahman

Direct numerical simulation has been carried out on one attached and two separated boundary layer flows (involving small and large separation) under the influence of an adverse pressure gradient. A unified picture of the pre-transitional…

流体动力学 · 物理学 2021-09-29 A. Samson , Karthik Naicker , Sourabh S. Diwan

We numerically examine a binary system of particles with repulsive interactions, where one species is driven by a rotating drive and the other is subjected either to a constant drive in a fixed direction or to a rotating drive that is out…

软凝聚态物质 · 物理学 2026-05-07 C. Reichhardt , C. J. O. Reichhardt

We introduce and study a model of hardcore particles obeying run-and-tumble dynamics on a one-dimensional lattice, where particles run in either +ve or -ve $x$-direction with an effective speed $v$ and tumble (change their direction of…

统计力学 · 物理学 2023-06-28 Indranil Mukherjee , Adarsh Raghu , P. K. Mohanty

Although the roll/streak structure is ubiquitous in pre-transitional wall-bounded shear flow, this structure is linearly stable if the idealization of laminar flow is made. Lacking an instability, the large transient growth of the…

流体动力学 · 物理学 2017-04-05 Brian F. Farrell , Petros J. Ioannou , Marios-Andreas Nikolaidis

We investigate the relative thermodynamic stability of the $3\times3$, $5\times5$, $7\times7$, $9\times9$ and infinitely large structures related to the dimers-adatoms-stacking faults family of Si$(111)$ surface reconstructions by means of…

材料科学 · 物理学 2022-06-22 Ruslan A. Zhachuk , José Coutinho

Formation of step-like 'density staircase' distributions induced by stratification and turbulence has been widely studied and can be explained by the 'instability' of a sufficiently strongly stably stratified turbulent flow due to the…

流体动力学 · 物理学 2023-05-10 Nicolaos Petropoulos , Ali Mashayek , Colm-cille P. Caulfield

It is well known that on long time scales the behaviour of tracer particles diffusing in a cellular flow is effectively that of a Brownian motion. This paper studies the behaviour on "intermediate" time scales before diffusion sets in.…

偏微分方程分析 · 数学 2016-09-09 Gautam Iyer , Alexei Novikov

The temperature-dependence of dynamical properties (e.g., the asymptotic diffusion coefficient and the sub-diffusive exponent) are calculated for charges and excitons in one-dimensional systems subject to static and dynamic disorder. These…

化学物理 · 物理学 2025-12-02 William Barford

We study the statistics of the number of executed hops of adatoms at the surface of films grown with the Clarke-Vvedensky (CV) model in simple cubic lattices. The distributions of this number, $N$, are determined in films with average…

We study the transport properties of a system of active particles moving at constant speed in an heterogeneous two-dimensional space. The spatial heterogeneity is modeled by a random distribution of obstacles, which the active particles…

生物物理 · 物理学 2013-10-23 Oleksandr Chepizhko , Fernando Peruani