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Structure, function and dynamics of many biomolecular systems can be characterized by the energetic variational principle and the corresponding systems of partial differential equations (PDEs). This principle allows us to focus on the…

Numerical Analysis · Mathematics 2016-11-03 Guo-Wei Wei , Y. C. Zhou

We show that to account for the full spectrum of surface fluctuations from low scattering vector qd << 1 (classical capillary wave theory) to high qd > 1 (bulk-like fluctuations), one must take account of the interface's bending rigidity at…

Soft Condensed Matter · Physics 2009-11-13 Edgar M. Blokhuis

The interplay between magnetic vortex polarity, chirality and the curvature of the underlying surface results in a dependence of the vortex polarity switching efficiency on the vortex chirality. The switching is studied numerically by…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Mykola I. Sloika , Volodymyr P. Kravchuk , Denis D. Sheka , Yuri Gaididei

The molecular structure of moving contact lines (MCLs) and the emergence of a corresponding macroscopic dissipation have made the MCL a paradigm of fluid dynamics. Through novel averaging techniques that remove capillary waves smearing we…

Soft Condensed Matter · Physics 2022-11-02 Amal K. Giri , Paolo Malgaretti , Dirk Peschka , Marcello Sega

Thermally excited capillary waves at fluid interfaces in binary liquid mixtures exhibit simultaneously both density and composition fluctuations. Based on a density functional theory for inhomogeneous binary liquid mixtures we derive an…

Soft Condensed Matter · Physics 2009-11-11 Thorsten Hiester , S. Dietrich , Klaus Mecke

The liquid shape between two vertical parallel plates in a gravity field due to capillary forces is studied. When the physical system achieves its mechanical equilibrium, the capillary surface has mean curvature proportional to its height…

Differential Geometry · Mathematics 2015-06-26 Rafael López

Nano-scale fluid transport has vast applications spanning from water desalination to biotechnology [1,2]. It is possible to pump fluids in nano-conduits using pressure gradients [3], thermal methods [4], electric [5,6] and magnetic fields…

Mesoscale and Nanoscale Physics · Physics 2019-01-09 Yigit Akkus , Ali Beskok

Based on the thermodynamic variation to the free energy functional, we propose a sharp-interface model for simulating solid-state dewetting of thin films on rigid curved substrates in two dimensions. This model describes the interface…

Materials Science · Physics 2018-11-14 Wei Jiang , Yan Wang , David J. Srolovitz , Weizhu Bao

The movement of the triple contact line plays a crucial role in many applications such as ink-jet printing, liquid coating and drainage (imbibition) in porous media. To design accurate computational tools for these applications, predictive…

We study the curvature-induced bound states and the coherent transport properties for a particle constrained to move on a truncated cone-like surface. With longitudinal hard wall boundary condition, the probability densities and spectra…

Quantum Physics · Physics 2015-12-11 Long Du , Yong-Long Wang , Guo-Hua Liang , Guang-Zhen Kang , Xiao-Jun Liu , Hong-Shi Zong

We consider the unsteady thin-film dynamics of a long bubble of negligible viscosity that advances at a uniform speed in a cylindrical capillary tube. The bubble displaces a viscous, nonwetting fluid, creating a thin film between its…

Fluid Dynamics · Physics 2017-06-14 Naima H. Hammoud , Philippe H. Trinh , Peter D. Howell , Howard A. Stone

Two collective properties distinguishing the thin liquid water vapour interface from the bulk liquid are the anisotropy of the pressure tensor giving rise to surface tension and the orientational alignment of the molecules leading to a…

Soft Condensed Matter · Physics 2020-02-03 Chao Zhang , Michiel Sprik

The transient thermocapillary migration of drops with nontrivial deformation is studied. The finite difference method is employed to solve the incompressible Navier-Stokes equations coupled with the energy equation; the front-tracking…

Fluid Dynamics · Physics 2011-12-08 Lei Chang , Zhaohua Yin , Wenrui Hu

Using air to displace a viscous fluid contained in Hele-Shaw cell can create a fingering pattern at the interface between the fluids, if the capillary number exceeds a critical value. This Saffman-Taylor instability is revisited for the…

Fluid Dynamics · Physics 2016-08-03 Ilyesse Bihi , Michael Baudoin , Jason E. Butler , Christine Faille , Farzam Zoueshtiagh

Modifications of Casimir-Polder interactions due to confinement inside a cylindrical cavity and due to curvature in- and outside the cavity are studied. We consider a perfectly conducting cylindrical shell with a single particle (atom or…

Statistical Mechanics · Physics 2015-06-23 Pablo Rodriguez-Lopez , Thorsten Emig , Ehsan Noruzifar , Roya Zandi

The stability of a thermocapillary flow in an extended cylindrical geometry is analyzed. This flow occurs in a thin liquid layer with a disk shape when a radial temperature gradient is applied along the horizontal free surface. Besides the…

Fluid Dynamics · Physics 2007-05-23 Nicolas Garnier , Christiane Normand

Understanding the physics of a three-phase contact line between gas, liquid, and solid is important for numerous applications. At the macroscale, the three-phase contact line response to an external force action is often characterized by a…

We explore the interplay of membrane curvature and nonspecific binding due to excluded-volume effects among colloidal particles inside lipid bilayer vesicles. We trapped submicron spheres of two different sizes inside a pear-shaped,…

Soft Condensed Matter · Physics 2009-10-30 A. D. Dinsmore , D. T. Wong , Philip Nelson , A. G. Yodh

The statistical mechanics of equilibrium interfaces has been well-established for over a half century. In the last decade, a wealth of observations have made increasingly clear that a new perspective is required to describe interfaces…

Soft Condensed Matter · Physics 2025-04-21 Luke Langford , Ahmad K. Omar

We show that particle roughness leads to changes in the number, shape and resulting capillary force of liquid bridges in capillary suspensions. We created fluorescently labeled, raspberry-like particles with varying roughness by…

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