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The complicated dynamics of the contact line of a moving droplet on a solid substrate often hamper the efficient modeling of microfluidic systems. In particular, the selection of the effective boundary conditions, specifying the contact…

We investigate the moving contact line problem for two-phase incompressible flows with a kinematic approach. The key idea is to derive an evolution equation for the contact angle in terms of the transporting velocity field. It turns out…

流体动力学 · 物理学 2021-02-12 Mathis Fricke , Matthias Köhne , Dieter Bothe

Kinetics of separation between the low and high density phases in a single component Lennard-Jones model has been studied via molecular dynamics simulations, at a very low temperature, in the space dimension $d=2$. For densities close to…

统计力学 · 物理学 2017-04-26 Jiarul Midya , Subir K. Das

A non-equilibrium theory of isothermal and diffusionless evolution of incoherent interfaces within a plastically deforming solid is developed. The irreversible dynamics of the interface are driven by its normal motion, incoherency (slip and…

材料科学 · 物理学 2015-06-03 Anurag Gupta , David Steigmann

We employ the state-of-the-art molecular dynamics simulations to study the kinetics of phase separation and aging phenomena of segregating binary fluid mixtures imbibed in porous materials. Different random porous structures are considered…

软凝聚态物质 · 物理学 2022-12-07 Rounak Bhattacharyya , Bhaskar Sen Gupta

A new phase field model of microstructural evolution is presented that includes the effects of elastic strain energy. The model's thin interface behavior is investigated by mapping it onto a recent model developed by Echebarria et al (Phys…

材料科学 · 物理学 2008-10-29 Michael Greenwood , Jeffrey J. Hoyt , Nikolas Provatas

Molecular dynamics simulations frequently employ periodic boundary conditions where the positions of the periodic images are manipulated in order to apply deformation to the material sample. For example, Lees-Edwards conditions use moving…

计算物理 · 物理学 2020-11-03 Nicholas M. Boffi , Chris H. Rycroft

We present here a summary of some recent techniques used for atomistic studies of thin film growth and morphological evolution. Specific attention is given to a new kinetic Monte Carlo technique in which the usage of unique labeling schemes…

材料科学 · 物理学 2009-11-11 Talat S. Rahman , Chandana Ghosh , Oleg Trushin , Abdelkader Kara , Altaf Karim

Results for the kinetics of vapor-liquid phase transition have been presented from the molecular dynamics simulations of a single component two-dimensional Lennard-Jones fluid. The phase diagram for the model, primary prerequisite for this…

软凝聚态物质 · 物理学 2017-03-08 Jiarul Midya , Subir K. Das

The role of step edge diffusion (SED) in epitaxial growth is investigated. To this end we revisit and extend a recently introduced simple cubic solid-on-solid model, which exhibits the formation and coarsening of pyramid or mound like…

统计力学 · 物理学 2009-10-31 S. Schinzer , M. Kinne , M. Biehl , W. Kinzel

Local diffusion coefficients in disordered systems such as spin glass systems and living cells are highly heterogeneous and may change over time. Such a time-dependent and spatially heterogeneous environment results in irreproducibility of…

统计力学 · 物理学 2016-12-21 Takuma Akimoto , Eiji Yamamoto

The temporal evolution of equilibrium fluctuations for surface steps of monoatomic height is analyzed studying one-dimensional solid-on-solid models. Using Monte Carlo simulations, fluctuations due to periphery-diffusion (PD) as well as due…

统计力学 · 物理学 2014-07-31 Walter Selke

In this communication we introduce a pair of coupled continuum equations to model overlayer growth with evaporation-accretion due to thermal or mechanical agitations of the substrate. We gain insight into the dynamics of growth via one-loop…

统计力学 · 物理学 2009-11-07 Ain-ul Huda , Omjyoti Dutta , Abhijit Mookerjee

A simple (2+1) dimensional discrete model is introduced to study the evolution of solid surface morphologies during ion-beam sputtering. The model is based on the same assumptions about the erosion process as the existing analytic theories.…

材料科学 · 物理学 2009-11-07 Alexander K. Hartmann , Reiner Kree , Ulrich Geyer , Matthias Koelbel

A review is provided of our current theoretical understanding of dynamic scaling in nonequilibrium interface growth as, for example, in MBE growth under ultrahigh vacuum deposition conditions.

统计力学 · 物理学 2008-02-03 S. Das Sarma

An interface description and numerical simulations of model A kinetics are used for the first time to investigate the intra-surface kinetics of phase ordering on corrugated surfaces. Geometrical dynamical equations are derived for the…

统计力学 · 物理学 2015-06-25 Oliver Schoenborn , Rashmi C. Desai

We give a very short introduction to discrete and continuum models for the evolutionary and spatial dynamics of cancer through two case studies: a model for the evolutionary dynamics of cancer cells under cytotoxic therapy and a model for…

组织与器官 · 定量生物学 2019-11-07 Tommaso Lorenzi , Fiona R. Macfarlane , Chiara Villa

In the framework of SOS models, the dynamics of isolated and pairs of surface steps of monoatomic height is studied, for step--edge diffusion and for evaporation kinetics, using Monte Carlo techniques. In particular, various interesting…

统计力学 · 物理学 2009-10-31 F. Szalma , W. Selke , S. Fischer

We derive an upscaled model describing the aggregation and deposition of colloidal particles within a porous medium allowing for the possibility of local clogging of the pores. At the level of the pore scale, we extend an existing model for…

偏微分方程分析 · 数学 2019-11-19 Adrian Muntean , Christos V. Nikolopoulos

Structural and kinetic aspects of 2-D irreversible metal deposition under potentiostatic conditions are analyzed by means of dynamic Monte Carlo simulations employing embedded atom potentials for a model system. Three limiting models, all…

材料科学 · 物理学 2007-05-23 M. Cecilia Gimenez , Mario G. Del Popolo , Ezequiel P. M. Leiva