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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

Curved fluid interfaces are investigated on the nanometre length scale by molecular dynamics simulation. Thereby, droplets surrounded by a metastable vapour phase are stabilized in the canonical ensemble. Analogous simulations are conducted…

Correctly formulated continuum models for lipid-bilayer membranes present a significant challenge to computational mechanics. In particular, the mid-surface behavior is that of a 2-dimensional fluid, while the membrane resists bending much…

Soft Condensed Matter · Physics 2017-03-08 Siming Zhao , Timothy Healey , Qingdu Li

A diffuse interface model for surfactants in multi-phase flow with three or more fluids is derived. A system of Cahn-Hilliard equations is coupled with a Navier-Stokes system and an advection-diffusion equation for the surfactant ensuring…

Numerical Analysis · Mathematics 2018-10-30 Oliver R. A. Dunbar , Kei Fong Lam , Bjorn Stinner

The influence of the external pressure and surface energy on the wetting transition at nanotextured interfaces is studied using molecular dynamics and continuum simulations. The surface roughness of the composite interface is introduced via…

Soft Condensed Matter · Physics 2018-07-12 Bishal Bhattarai , Nikolai V. Priezjev

The objective of this work is to investigate the unexplored laminar-to-turbulent transition of a heated flat-plate boundary layer with a fluid at supercritical pressure. Two temperature ranges are considered: a subcritical case, where the…

In the framework of the Polyakov quark-meson model with two flavors, the bubble dynamics of a first-order phase transition in the region of high density and low temperature are investigated by using the homogeneous thermal nucleation…

High Energy Physics - Phenomenology · Physics 2024-07-16 Junrong Wang , Jinshuang Jin , Hong Mao

Heterogeneous nucleation on catalytic surfaces plunged into a fluid is described through a stochastic model. To generate this non-equilibrium process we assume that the turn on of a electrostatic potential triggers a complex dynamics that…

Chemical Physics · Physics 2007-05-23 P. C. T. Dajello , I. Mozolevski , Z. G. S. Kipervaser

Recent work has highlighted roles for thermodynamic phase behavior in diverse cellular processes. Proteins and nucleic acids can phase separate into three-dimensional liquid droplets in the cytoplasm and nucleus and the plasma membrane of…

Biological Physics · Physics 2022-02-23 Mason Rouches , Sarah Veatch , Benjamin Machta

Soft particles such as microgels and core-shell particles can undergo significant and anisotropic deformations when adsorbed to a liquid interface. This, in turn, leads to a complex phase behavior upon compression. Here we develop a…

The stochastic motion of a two-dimensional vesicle in linear shear flow is studied at finite temperature. In the limit of small deformations from a circle, Langevin-type equations of motion are derived, which are highly nonlinear due to the…

Soft Condensed Matter · Physics 2009-11-13 Reimar Finken , Antonio Lamura , Udo Seifert , Gerhard Gompper

The aim of this paper is to design a feedback operator for stabilizing in infinite time horizon a system modeling the interactions between a viscous incompressible fluid and the deformation of a soap bubble. The latter is represented by an…

Analysis of PDEs · Mathematics 2022-10-14 Sebastien Court

The flow within an oscillatory boundary layer, which approximates the flow generated by propagating sea waves of small amplitude close to the bottom, is simulated numerically by integrating Navier-Stokes and continuity equations. The bottom…

We perform numerical simulations of purely repulsive soft colloidal particles interacting via a generalized elastic potential and constrained to a two-dimensional plane and to the surface of a spherical shell. For the planar case, we…

Soft Condensed Matter · Physics 2011-06-16 William L. Miller , Angelo Cacciuto

We consider sharp interface asymptotics for a phase field model of two phase near spherical biomembranes involving a coupling between the local mean curvature and the local composition proposed by the first and second authors. The model is…

Analysis of PDEs · Mathematics 2020-12-24 Charles M. Elliott , Luke Hatcher , Björn Stinner

We present a new approach to studies of bubble dynamics in fluids. Relying on particle-based simulations, this method is general and suitable for cases where the commonly used perfect fluid description fails. We study expanding true vacuum…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-14 Marek Lewicki , Ville Vaskonen , Hardi Veermäe

We study a 1D geometry of a plasma confined between two conducting floating walls with applications to laboratory plasmas. These plasmas are characterized by a quasi-neutral bulk that is joined to the wall by a thin boundary layer called…

Numerical Analysis · Mathematics 2023-01-02 Louis Reboul , Marc Massot , Alejandro Alvarez Laguna

Classical nucleation theory (CNT), linking rare nucleation events to the free energy landscape of a growing nucleus, is central to understanding phase-change kinetics in passive fluids. Nucleation in non-equilibrium systems is much harder…

Soft Condensed Matter · Physics 2023-03-15 M. E. Cates , C. Nardini

We review theoretical and simulational approaches to the description of equilibrium bulk crystal and interface properties as well as to the nonequilibrium processes of homogeneous and heterogeneous crystal nucleation for the simple model…

Soft Condensed Matter · Physics 2014-02-03 Francesco Turci , Tanja Schilling , Mohammad Hossein Yamani , Martin Oettel

The continuum theory of partially fluidized shear granular flows is tested and calibrated using two dimensional soft particle molecular dynamics simulations. The theory is based on the relaxational dynamics of the order parameter that…

Materials Science · Physics 2009-11-10 D. Volfson , L. S. Tsimring , I. S. Aranson