Crossover from capillary wave to van der Waals regime for fluid interfaces in two dimensions very close to the critical point

1990 ◽  
Vol 93 (9) ◽  
pp. 6800-6803
Author(s):  
L.‐J. Chen ◽  
M. Knackstedt ◽  
M. Robert
Keyword(s):  
Critical Point ◽  
Capillary Wave ◽  
Van Der Waals ◽  
Two Dimensions ◽  
Fluid Interfaces

Suppressing van der Waals driven rupture through shear

2010 ◽  
Vol 661 ◽  
pp. 522-539 ◽  
Author(s):  
M. J. DAVIS ◽  
M. B. GRATTON ◽  
S. H. DAVIS
Keyword(s):  
Free Surface ◽  
Wind Shear ◽  
Capillary Wave ◽  
Van Der Waals ◽  
Three Dimensional ◽  
Angular Speed ◽  
Critical Value ◽  
Finite Amplitude ◽  
Two Dimensions ◽  
Sivashinsky Equation

An ultra-thin viscous film on a substrate is susceptible to rupture instabilities driven by van der Waals attractions. When a unidirectional ‘wind’ shear τ is applied to the free surface, the rupture instability in two dimensions is suppressed when τ exceeds a critical value τc and is replaced by a permanent finite-amplitude structure, an intermolecular-capillary wave, that travels at approximately the speed of the surface. For small amplitudes, the wave is governed by the Kuramoto–Sivashinsky equation. If three-dimensional disturbances are allowed, the shear is decoupled from disturbances perpendicular to the flow, and line rupture would occur. In this case, replacing the unidirectional shear with a shear whose direction rotates with angular speed, , suppresses the rupture if τ ≳ 2τc. For the most dangerous wavenumber, τc ≈ 10−2 dyn cm−2 at ≈ 1 rad s−1 for a film with physical properties similar to water at a thickness of 100 nm.

scholarly journals Interface Roughening in Two Dimensions

2021 ◽  
Vol 182 (3) ◽  
Author(s):  
Gernot Münster ◽  
Manuel Cañizares Guerrero
Keyword(s):  
Field Theory ◽  
Monte Carlo ◽  
Capillary Wave ◽  
System Size ◽  
Two Dimensions ◽  
Two Dimensional ◽  
Wave Approximation ◽  
Statistical Field ◽  
Statistical Field Theory ◽  
Interface Roughening

AbstractRoughening of interfaces implies the divergence of the interface width w with the system size L. For two-dimensional systems the divergence of $$w^2$$ w 2 is linear in L. In the framework of a detailed capillary wave approximation and of statistical field theory we derive an expression for the asymptotic behaviour of $$w^2$$ w 2 , which differs from results in the literature. It is confirmed by Monte Carlo simulations.

Critical Point of Metals from the van der Waals Model

1971 ◽  
Vol 3 (1) ◽  
pp. 364-371 ◽  
Author(s):  
David A. Young ◽  
Berni J. Alder
Keyword(s):  
Critical Point ◽  
Van Der Waals ◽  
Van Der Waals Model

Continuum and Molecular Dynamics Studies of the Hydrodynamics of Colloids Straddling a Fluid Interface

2021 ◽  
Vol 54 (1) ◽  
Author(s):  
Charles Maldarelli ◽  
Nicole T. Donovan ◽  
Subramaniam Chembai Ganesh ◽  
Subhabrata Das ◽  
Joel Koplik
Keyword(s):  
Molecular Dynamics ◽  
Characteristic Size ◽  
Two Dimensions ◽  
Annual Review ◽  
Publication Date ◽  
Fluid Interfaces ◽  
Particle Interactions ◽  
Fluid Interface ◽  
Interfacial Energies ◽  
Multiple Particle

Colloid-sized particles (10 nm–10 μm in characteristic size) adsorb onto fluid interfaces, where they minimize their interfacial energy by straddling the surface, immersing themselves partly in each phase bounding the interface. The energy minimum achieved by relocation to the surface can be orders of magnitude greater than the thermal energy, effectively trapping the particles into monolayers, allowing them freedom only to translate and rotate along the surface. Particles adsorbed at interfaces are models for the understanding of the dynamics and assembly of particles in two dimensions and have broad technological applications, importantly in foam and emulsion science and in the bottom-up fabrication of new materials based on their monolayer assemblies. In this review, the hydrodynamics of the colloid motion along the surface is examined from both continuum and molecular dynamics frameworks. The interfacial energies of adsorbed particles is discussed first, followed by the hydrodynamics, starting with isolated particles followed by pairwise and multiple particle interactions. The effect of particle shape is emphasized, and the role played by the immersion depth and the surface rheology is discussed; experiments illustrating the applicability of the hydrodynamic studies are also examined. Expected final online publication date for the Annual Review of Fluid Mechanics, Volume 54 is January 2022. Please see http://www.annualreviews.org/page/journal/pubdates for revised estimates.

ON A DYNAMICS APPROACH TO WETTING TRANSITIONS

1993 ◽  
Vol 07 (07) ◽  
pp. 421-439 ◽  
Author(s):  
Z. Q. HUANG ◽  
E. J. DING ◽  
J. Y. CHEN
Keyword(s):  
Phase Transitions ◽  
Force Field ◽  
Van Der Waals ◽  
Classical Particle ◽  
Wetting Transition ◽  
Fluid Interfaces ◽  
Classical Dynamics ◽  
Confined Fluids ◽  
Wetting Transitions ◽  
Sullivan Model

In a recent development, wetting transition is considered in the dynamics approach in which the wetting problem of the Sullivan model is equivalent to a classical particle moving in a force field. This article reviews this recent development for modeled solid-fluid interfaces and phase transitions in confined fluids. A simple dynamics approach within van der Waals framework is formulated and applied to various wetting problems which are transformed into problems in classical dynamics. Emphasis is placed on the order of the transitions.

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