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Pulsed laser epitaxial growth is characterized by high instantaneous deposition rates that leads to the nucleation of transient islands, both on surface terraces, and on top of stable islands formed during previous deposition pulses. We…

材料科学 · 物理学 2025-09-24 Jeffrey G. Ulbrandt , Xiaozhi Zhang , Randall L. Headrick

The Stranski-Krastanov growth kinetics of undislocated (coherent) 3-dimensional islands is studied with a self-consistent mean field rate theory that takes account of elastic interactions between the islands. The latter are presumed to…

统计力学 · 物理学 2009-10-31 Hari M. Koduvely , Andrew Zangwill

Tensile stress generation associated with island coalescence is almost universally observed in thin films that grow via the Volmer-Weber mode. The commonly accepted mechanism for the origin of this tensile stress is a process driven by the…

材料科学 · 物理学 2009-11-11 Steven C. Seel , Jeffrey J. Hoyt , Edmund B. Webb , Jonathan A. Zimmerman

In this paper, we study a finite population undergoing discrete, nonoverlapping generations, that is structured into $D$ demes, each containing $N$ individuals of two possible types, $A$ and $B$, whose viability coefficients, $s_A$ and…

种群与进化 · 定量生物学 2023-11-02 Dhaker Kroumi , Sabin Lessard

Starting from configurations having homogeneous spatial density, we study kinetics in a two-dimensional system of inelastically colliding hard particles, a popular model for cooling granular matter. Following an initial time period, the…

软凝聚态物质 · 物理学 2020-07-10 Subir K. Das , Subhajit Paul

We study a large class of 1D reaction diffusion models with quenched disorder using a real space renormalization group method (RSRG) which yields exact results at large time. Particles (e.g. of several species) undergo diffusion with random…

凝聚态物理 · 物理学 2009-10-31 Pierre Le Doussal , Cecile Monthus

We report a fast, efficient and credible statistical reconstruction of any two-phase patterns of islands of miscellaneous shapes and poly-dispersed in sizes. In the proposed multi-scale approach called a weighted doubly-hybrid, two…

统计力学 · 物理学 2015-03-24 W. Olchawa , R. Piasecki

We study metastable behaviour in systems of weakly interacting Brownian particles with localised, attractive potentials which are smooth and globally bounded. In this particular setting, numerical evidence suggests that the particles…

概率论 · 数学 2025-02-19 Zachary P. Adams , Maximilian Engel , Rishabh S. Gvalani

Motivated by nanoscale growth of ultra-thin films, we study a model of deposition, on an interval substrate, of particles that perform Brownian motions until any two meet, when they nucleate to form a static island, which acts as an…

概率论 · 数学 2022-12-19 Nicholas Georgiou , Andrew R. Wade

We present a detailed systematical theoretical analysis of the post-growth processes occurring in nanofractals grown on surface. For this study we developed a method which accounts for the internal dynamics of particles in a fractal. We…

原子与分子团簇 · 物理学 2015-05-18 Veronika V. Dick , Ilia A. Solov'yov , Andrey V. Solov'yov

We report on early stages of submonolayer Ag island coarsening on Ag(111) surface at room temperature ($300$ K) carried out using realistic kinetic Monte Carlo (KMC) simulations. We find that during early stages, coarsening proceeds as a…

材料科学 · 物理学 2015-05-19 G. Nandipati , A. Kara , S. I. Shah , T. S. Rahman

We simulate a model of self-propelled disks with soft repulsive interactions confined to a box in two dimensions. For small rotational diffusion rates, monodisperse disks spontaneously accumulate at the walls. At low densities, interaction…

软凝聚态物质 · 物理学 2014-03-05 Xingbo Yang , M. Lisa Manning , M. Cristina Marchetti

The diffusion of finite-size hard-core interacting particles in two- or three-dimensional confined domains is considered in the limit that the confinement dimensions become comparable to the particle's dimensions. The result is a nonlinear…

数学物理 · 物理学 2017-03-23 Maria Bruna , S. Jonathan Chapman

We show that mean-field rate equations for submonolayer growth can successfully predict island size distributions in the pre-coalescence regime if the full dependence of capture numbers on both the island size and the coverage is taken into…

统计力学 · 物理学 2015-05-19 Martin Körner , Mario Einax , Philipp Maass

We investigate the problem of effusion of particles initially confined in a finite one-dimensional box of size $L$. We study both passive as well active scenarios, involving non-interacting diffusive particles and run-and-tumble particles,…

统计力学 · 物理学 2025-02-03 Arup Biswas , Stephy Jose , Arnab Pal , Kabir Ramola

Square lattice gas models for heteroepitaxial growth are studied by means of kinetic Monte Carlo simulations, in order to find a possible origin of anisotropic island shape observed in growth experiments of long organic molecules. When…

材料科学 · 物理学 2009-11-13 Yukio Saito , Ryo Kawasaki

We present a general framework to study the distribution of the flux through the origin up to time $t$, in a non-interacting one-dimensional system of particles with a step initial condition with a fixed density $\rho$ of particles to the…

统计力学 · 物理学 2020-05-06 Tirthankar Banerjee , Satya N. Majumdar , Alberto Rosso , Gregory Schehr

Discrete element method simulations of confined bidisperse granular shear flows elucidate the balance between diffusion and segregation that can lead to either mixed or segregated states, depending on confining pressure. Results indicate…

软凝聚态物质 · 物理学 2018-09-24 Alexander M. Fry , Paul B. Umbanhowar , Julio M. Ottino , Richard M. Lueptow

In bidisperse particle mixtures varying in size or density alone, large particles rise (driven by percolation) and heavy particles sink (driven by buoyancy). When the two particle species differ from each other in both size and density, the…

软凝聚态物质 · 物理学 2021-06-09 Yifei Duan , Paul B. Umbanhowar , Richard M. Lueptow

Computer simulations and scaling theory are used to investigate the damping of oscillations during epitaxial growth on high-symmetry surfaces. The crossover from smooth to rough growth takes place after the deposition of (D/F)^\delta…

统计力学 · 物理学 2007-05-23 H. Kallabis , L. Brendel , P. Smilauer , J. Krug , D. E. Wolf