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相关论文: Simulations of deposition growth models in various…

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Motivated by recent experimental studies in microbiology, we suggest a modification of the classic ballistic deposition model of surface growth, where the memory of a deposition at a site induces more depositions at that site or its…

元胞自动机与格子气 · 物理学 2022-02-24 Ahmed Roman , Ruomin Zhu , Ilya Nemenman

We use deposition models of kinetic roughening of a growing surface to introduce the concepts of universality and scaling and to analyze the qualitative and quantitative role of different parameters. In particular, we focus on two classes…

统计力学 · 物理学 2018-08-06 Alessandro Santini , Paolo Politi

We present results of numerical simulations to estimate scaling exponents associated with driven surface growth in two spatial dimensions. We have simulated the restricted solid--on--solid growth model and used the time and system size…

凝聚态物理 · 物理学 2009-10-22 T. Ala-Nissila , O. Venalainen

We investigate the origin of the scaling corrections in ballistic deposition models in high dimensions using the method proposed by Alves \textit{et al}. [Phys Rev. E \textbf{90}, 052405 (20014)] in $d=2+1$ dimensions, where the intrinsic…

统计力学 · 物理学 2016-05-25 Sidiney G. Alves , Silvio C. Ferreira

The surface exponents, the scaling behavior and the bulk porosity of a generalized ballistic deposition (GBD) model are studied. In nature, there exist particles with varying degrees of stickiness ranging from completely non-sticky to fully…

统计力学 · 物理学 2016-02-24 Baisakhi Mal , Subhankar Ray , J. Shamanna

A deposition process with particles having realistic intermediate stickiness is studied in 2+1 dimensions. At each stage of the deposition process, for any given configuration, a newly depositing particle gives rise to allowed set of…

统计力学 · 物理学 2015-03-04 Subhankar Ray , Baisakhi Mal , J. Shamanna

Inhomogeneities in deposition may lead to formation of rough surfaces, whose height fluctuations can be probed directly by scanning microscopy, or indirectly by scattering. Analytical or numerical treatments of simple growth models suggest…

凝聚态物理 · 物理学 2009-10-28 Mehran Kardar

In the past many papers have appeared which simulated surface growth with different growth models. The results showed that, if models differed only slightly in their `growth' rules, the resulting surfaces may belong to different…

计算物理 · 物理学 2009-10-31 W. E. Hagston , H. Ketterl

Extensive dynamical simulations of Restricted Solid on Solid models in $D=2+1$ dimensions have been done using parallel multisurface algorithms implemented on graphics cards. Numerical evidence is presented that these models exhibit KPZ…

统计力学 · 物理学 2016-08-08 Jeffrey Kelling , Géza Ódor , Sibylle Gemming

We discuss the results of extensive numerical simulations in order to estimate the scaling exponents associated with kinetic roughening in higher dimensions, up to d=7+1. To this end, we study the restricted solid - on - solid growth model,…

凝聚态物理 · 物理学 2009-10-22 T. Ala-Nissila , T. Hjelt , J. M. Kosterlitz , O. Venäläinen

The scaling behavior of cyclical surface growth (e.g. deposition/desorption), with the number of cycles n, is investigated. The roughness of surfaces grown by two linear primary processes follows a scaling behavior with asymptotic exponents…

统计力学 · 物理学 2009-10-31 Y. Shapir , S. Raychaudhuri , D. G. Foster , J. Jorne

We analyze in detail the Solid-On-Solid model (SOS) for growth processes on a square substrate in 2+1 dimensions. By using the Markovian surface properties, we introduce an alternative approach for determining the roughness exponent of a…

统计力学 · 物理学 2010-07-02 S. Hosseinabadi , A. A. Masoudi , M. Sadegh Movahed

We study the surface growth generated by the random deposition of particles of different sizes. A model is proposed where the particles are aggregated on an initially flat surface, giving rise to a rough interface and a porous bulk. By…

统计力学 · 物理学 2010-03-19 F. L. Forgerini , W. Figueiredo

In recent years there has been a growing interest in the statistical properties of surfaces growing under deposition of material. Yet it is clear that a theory describing the evolution of a surface should at the same time describe the…

统计力学 · 物理学 2007-05-23 Eytan Katzav , Sam F. Edwards , Moshe Schwartz

Monte Carlo simulations are employed to investigate the surface growth generated by deposition of particles of different sizes on a substrate, in one and two dimensions. The particles have a linear form, and occupy an integer number of…

统计力学 · 物理学 2011-11-17 F. L. Forgerini , W. Figueiredo

Random deposition model with surface diffusion over several next nearest neighbours is studied. The results agree with the results obtained by Family for the case of nearest neighbour diffusion [F. Family, J. Phys. A 19(8), L441, 1986].…

软凝聚态物质 · 物理学 2008-05-07 Baisakhi Mal , Subhankar Ray , J. Shamanna

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

We have performed a detailed Monte Carlo study of a diffusionless $(1+1)$-dimensional solid-on-solid model of particle deposition and evaporation that not only tunes the roughness of an equilibrium surface but also demonstrates the need for…

统计力学 · 物理学 2008-05-20 S. L. Narasimhan , A. Baumgaertner

A limited mobility nonequilibrium solid-on-solid dynamical model for kinetic surface growth is introduced as a simple description for the morphological evolution of a growing interface under random vapor deposition and surface diffusion…

统计力学 · 物理学 2007-05-23 S. Das Sarma , P. Punyindu

Statistical behavior and scaling properties of iso-height lines in three different saturated two-dimensional grown surfaces with controversial universality classes are investigated using ideas from Schramm-Loewner evolution (SLE$_\kappa$).…

统计力学 · 物理学 2010-08-10 A. A. Saberi , H. Dashti-Naserabadi , S. Rouhani
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