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We investigate the scaling properties of the interface fluctuation width for the $Q$-mer and $Q$-particle-correlated deposition-evaporation models. These models are constrained with a global conservation law that the particle number at each…

Statistical Mechanics · Physics 2016-08-31 Yup Kim , T. S. Kim , Hyunggyu Park

Surface growth, by association or dissociation of material on the boundaries of a body, is ubiquitous in both natural and engineering systems. It is the fundamental mechanism by which biological materials grow, starting from the level of a…

Soft Condensed Matter · Physics 2019-03-06 Rami Abi-Akl , Rohan Abeyaratne , Tal Cohen

The physical and chemical properties of metal nanoparticles differ significantly from those of free metal atoms as well as from the properties of bulk metals, and therefore, they may be viewed as a transition regime between the two physical…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Horacio G. Rotstein , Amy Novick-Cohen , Rina Tannenbaum

The contributions of heat and work in generating a new surface area are considered. Unlike the classical theory of vapor/droplet equilibrium, which associates changing surface areas with work done against the surface tension, an alternative…

Soft Condensed Matter · Physics 2008-05-05 Vladimir Kh. Dobruskin

We investigate the growth of a film of some element B on a substrate made of another substrance A in a model of molecular beam epitaxy. A vertical exchange mechanism allows the A-atoms to stay on the growing surface with a certain…

Statistical Mechanics · Physics 2009-11-10 Boris Bierwald , Michael von den Driesch , Zeno Farkas , Sang Bub Lee , Dietrich E. Wolf

A continuum model for growth of solids is developed, considering adatom deposition, surface diffusion, and configuration dependent incorporation rate. For amorphous solids it is related to surface energy densities. The high adatom density…

Statistical Mechanics · Physics 2007-05-23 Martin Rost

The dynamics of phase separation in multi-component bilayer fluid vesicles is investigated by means of large-scale dissipative particle dynamics. The model explicitly accounts for solvent particles, thereby allowing for the very first…

Soft Condensed Matter · Physics 2009-11-10 Mohamed Laradji , P. B. Sunil Kumar

We study the problem of particles undergoing Brownian motion in an expanding sphere whose surface is an absorbing boundary for the particles. The problem is akin to that of the diffusion of impurities in a grain of polycrystalline material…

Statistical Mechanics · Physics 2009-11-13 Karl Forsberg , Ali R. Massih

We consider a partial differential equation model for the growth of heterogeneous cell populations subdivided into multiple distinct discrete phenotypes. In this model, cells preferentially move towards regions where they feel less…

Analysis of PDEs · Mathematics 2025-04-04 José A. Carrillo , Tommaso Lorenzi , Fiona R. Macfarlane

Via hydrodynamics preserving molecular dynamics simulations we study growth phenomena in a phase separating symmetric binary mixture model. We quench high-temperature homogeneous configurations to state points inside the miscibility gap,…

Soft Condensed Matter · Physics 2021-07-23 Koyel Das , Subir K. Das

Fullerenes, including \ce{C60} and \ce{C70}, have been detected in various astronomical environments. Understanding how their structures evolve over time is essential for gaining insights into their life cycle and making further…

Solar and Stellar Astrophysics · Physics 2023-10-27 Zhisen Meng , Zhao Wang

Monte Carlo simulations of crystal nuclei coexisting with the fluid phase in thermal equilibrium in finite volumes are presented and analyzed, for fluid densities from dense melts to the vapor. Generalizing the lever-rule for two-phase…

Statistical Mechanics · Physics 2017-11-01 Peter Koß , Antonia Statt , Peter Virnau , Kurt Binder

We study a reaction-diffusion model posed on two distinct spatial scales that accounts for diffusion, aggregation, fragmentation, and deposition of populations of colloidal particles within a porous material. In this model, the macroscopic…

Analysis of PDEs · Mathematics 2026-04-14 Christos Nikolopoulos , Michael Eden , Adrian Muntean

Here we address a fundamental issue in surface physics: the dynamics of adsorbed molecules. We study this problem when the particle's desorption is characterized by a non Markovian process, while the particle's adsorption and its motion in…

Statistical Mechanics · Physics 2009-11-10 Jorge A. Revelli , Carlos. E. Budde , Domingo Prato , Horacio S. Wio

Nucleation and growth is the dominant relaxation mechanism driving first order phase transitions. In two-dimensional at systems nucleation has been applied to a wide range of problems in physics, chemistry and biology. Here we study…

Soft Condensed Matter · Physics 2016-03-09 Leopoldo R. Gomez , Nicolas A. Garcia , Vincenzo Vitelli , Jose Lorenzana , Daniel A. Vega

We investigate with computer simulations the critical radius of pores in a lipid bilayer membrane. Ilton et al. (2016) recently showed that nucleated pores in a homopolymer film can increase or decrease in size, depending on whether they…

Soft Condensed Matter · Physics 2017-10-26 Clark Bowman , Mark Chaplain , Anastasios Matzavinos

We investigate experimentally and theoretically thin layers of colloid particles held adjacent to a solid substrate by gravity. Epifluorescence, confocal, and holographic microscopy, combined with Monte Carlo and hydrodynamic simulations,…

Polymers confined to a narrow channel are subject to strong entropic forces that tend to drive the molecules apart. In this study, we use Monte Carlo computer simulations to study the segregation behavior of two flexible hard-sphere…

Soft Condensed Matter · Physics 2021-01-27 James M. Polson , Qinxin Zhu

Surface nanobubbles are complex micro- and nanoscale fluid systems. While thermodynamics is believed to dominate nanobubble dynamics, the precise mechanism by which nanobubble evolution is driven by thermodynamics remains unclear. It is…

Soft Condensed Matter · Physics 2025-02-06 Lili Lan , Yongcai Pan , Liang Zhao , Binghai Wen

We introduce a general theoretical framework to study the shape dynamics of actively growing and remodeling surfaces. Using this framework we develop a physical model for growing bacterial cell walls and study the interplay of cell shape…

Biological Physics · Physics 2016-04-08 Shiladitya Banerjee , Norbert F. Scherer , Aaron R. Dinner