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We introduce a solid-on-solid growth process which evolves by random deposition of dimers, surface diffusion, and evaporation of monomers from the edges of plateaus. It is shown that the model exhibits a robust transition from a smooth to a…

Statistical Mechanics · Physics 2009-11-07 Haye Hinrichsen

Ion irradiation during film growth has a strong impact on structural properties. Linear stability analysis is employed to study surface instabilities during ion-assisted growth of binary alloys. An interplay between curvature-dependent…

Materials Science · Physics 2015-05-30 Gintautas Abrasonis , Klaus Morawetz

We investigate whether surface reconstruction order exists in stationary growing states, at all length scales or only below a crossover length, $l_{\rm rec}$. The later would be similar to surface roughness in growing crystal surfaces;…

Statistical Mechanics · Physics 2009-11-07 Chen-Shan Chin , Marcel den Nijs

Flat surface phases are unstable during growth and known to become rough. This does not exclude the possibility that surface reconstruction order persists in rough growing surfaces, in analogy with so-called equilibrium reconstructed rough…

Statistical Mechanics · Physics 2007-05-23 Chen-Shan Chin , Marcel den Nijs

Thin film growth is investigated in two types of lattice gas models where substrate and film particles are different, expressed by unequal interaction energy parameters. The first is of solid-on-solid type, whereas the second type…

Soft Condensed Matter · Physics 2021-02-17 Eelco Empting , Miriam Klopotek , Alexander Hinderhofer , Frank Schreiber , Martin Oettel

The scaling properties of the roughness of surfaces grown by two different processes randomly alternating in time, are addressed. The duration of each application of the two primary processes is assumed to be independently drawn from given…

Statistical Mechanics · Physics 2009-11-07 Subhadip Raychaudhuri , Yonathan Shapir

Conserved growth models that exhibit a nonlinear instability in which the height (depth) of isolated pillars (grooves) grows in time are studied by numerical integration and stochastic simulation. When this instability is controlled by the…

Statistical Mechanics · Physics 2009-11-07 B. Chakrabarti , C. Dasgupta

A class of nonequilibrium models with short-range interactions and sequential updates is presented. The models describe one dimensional growth processes which display a roughening transition between a smooth and a rough phase. This…

Condensed Matter · Physics 2009-10-28 Uri Alon , Martin Evans , Haye Hinrichsen , David Mukamel

We show that generic kinetic growth processes with surface relaxations can exhibit a new crumpled phase with short-range orientational order at dimensions $d<4$. A sufficiently strong spatially non-local part of the chemical potential…

Statistical Mechanics · Physics 2022-08-15 Sudip Mukherjee , Abhik Basu

We study the local and global roughness scaling in growth models with grains at the film surfaces. The local roughness, measured as a function of window size r, shows a crossover at a characteristic length r_c, from a rapid increase with…

Statistical Mechanics · Physics 2007-05-23 T. J. Oliveira , F. D. A. Aarao Reis

The behavior of a phase separating binary mixture in uniform shear flow is investigated by numerical simulations and in a renormalization group (RG) approach. Results show the simultaneous existence of domains of two characteristic scales.…

Condensed Matter · Physics 2012-04-05 F. Corberi , G. Gonnella , A. Lamura

Thin film deposition on weakly interacting substrates exhibits a unique growth mode characterized by initially strong island formation and rapidly increasing roughness, which reaches a maximum and subsequently decreases as the film returns…

The formation and dynamics of a wide variety of binary two-dimensional ordered structures and superlattices are investigated through a phase field crystal model with sublattice ordering. Various types of binary ordered phases, the phase…

Soft Condensed Matter · Physics 2019-09-25 Doaa Taha , S. R. Dlamini , S. K. Mkhonta , K. R. Elder , Zhi-Feng Huang

An exhaustive numerical investigation of the growth of magnetic films in confined $(d+1)$-dimensional stripped geometries ($d=1,2$) is carried out by means of extensive Monte Carlo simulations. Thin films in contact with a thermal bath are…

Condensed Matter · Physics 2009-11-07 Julián Candia , Ezequiel V. Albano

Surface growth models may give rise to unstable growth with mound formation whose tipical linear size L increases in time. In one dimensional systems coarsening is generally driven by an attractive interaction between domain walls or kinks.…

Statistical Mechanics · Physics 2007-05-23 Alessandro Torcini , Paolo Politi

The sessile microbial communities known as biofilms exhibit varying architectures as environmental factors are varied, which for immersed biofilms includes the shear rate of the surrounding flow. Here we modify an established agent-based…

Biological Physics · Physics 2014-03-11 D. A. Head

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…

Statistical Mechanics · Physics 2009-10-31 Y. Shapir , S. Raychaudhuri , D. G. Foster , J. Jorne

We investigate the growth of two-dimensional (2D) crystals on fluctuating surfaces using a phase field crystal model that is relevant on atomic length and diffusive time scales. Motivated by recent experiments which achieved unprecedented…

Materials Science · Physics 2024-10-04 S. K. Mkhonta , Zhi-Feng Huang , K. R. Elder

Atomistic simulations are used to study segregation-induced intergranular film formation in Cu-Zr and Cu-Nb alloys. While Cu-Zr forms structurally disordered or amorphous films, ordered films comprised of a second phase usually precipitate…

Materials Science · Physics 2016-11-09 Zhiliang Pan , Timothy J. Rupert

A number of recent experiments have showed that surfactants can modify the growth mode of an epitaxial film, suppressing islanding and promoting layer-by-layer growth. Here I introduce a set of coupled equations to describe the…

Condensed Matter · Physics 2009-10-22 Albert-László Barabási