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Suppose curves are moving by curvature in a plane, but one embeds the plane in $R^3$ and looks at the plane from an angle. Then circles shrinking to a round point would appear to be ellipses shrinking to an ``elliptical point,'' and the…

Differential Geometry · Mathematics 2016-09-07 Jean Taylor

We use molecular dynamics simulations to study the diffusion of water inside deformed carbon nanotubes, with different degrees of eccentricity at 300K. We found a water structural transition between tubular-like to single-file for the (7,7)…

The surface dynamics and thermodynamics of metal nanowires are investigated in a continuum model. Competition between surface tension and electron-shell effects leads to a rich stability diagram, with fingers of stability extending to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. H. Zhang , F. Kassubek , C. A. Stafford

In this work we first study the quantum diffusion in a volume of a crystalline solid at high interstitial concentrations when the effects of the short-range interactions between the diffusing particles are to be factors. Within the scope of…

Materials Science · Physics 2007-05-23 G. L. Buchbinder , V. N. Shapov

We study the propagation of monochromatic surface waves on a turbulent flow. The flow is generated in a layer of liquid metal by an electromagnetic forcing. This forcing creates a quasi two-dimensional (2D) turbulence with strong vertical…

Fluid Dynamics · Physics 2015-11-19 Pablo Gutiérrez , Sébastien Aumaitre

We consider in this paper a solvable model for the motion of molecular motors. Based on the averaging principle, we reduce the problem to a diffusion process on a graph. We then calculate the effective speed of transportation of these…

Probability · Mathematics 2013-06-11 Mark Freidlin , Wenqing Hu

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

The study of diffusion and low frequency vibrational motions of particles on metal surfaces is of paramount importance; it provides valuable information on the nature of the adsorbate-substrate and the substrate-substrate interactions. In…

Statistical Mechanics · Physics 2007-07-18 R. Martinez-Casado , J. L. Vega , A. S. Sanz , S Miret-Artes

Based on the formula for the number density of vacancies in a solid under the stress or tension, the model of grain boundary diffusion in crystalline solids is developed. We obtain the activation energy of grain boundary diffusion…

Statistical Mechanics · Physics 2007-05-23 Fedor V. Prigara

Onset of vacuum arcing near a metal surface is often associated with nanoscale asperities, which may dynamically appear due to different processes ongoing in the surface and subsurface layers in the presence of high electric fields.…

Morphological change of bilayer membrane in vivo is not a spontaneous procedure but modulated by various types of proteins in general. Most of these modulations are associated with the localization of related proteins in the crowded lipid…

Quantitative Methods · Quantitative Biology 2016-06-30 Michael Mikucki , Y. C. Zhou

Efficient mixing and pumping of liquids at the microscale is a technology that is still to be optimized. The combination of an AC electric field with a small temperature gradient leads to a strong electro-thermal flow that can be used for…

Fluid Dynamics · Physics 2024-03-18 Carlos David González Gómez , Raúl A. Rica , Emilio Ruiz-Reina

Diffusion processes are fundamental in modelling stochastic dynamics in natural sciences. Recently, simulating such processes on complicated geometries has found applications for example in biology, where toroidal data arises naturally when…

Probability · Mathematics 2019-06-25 Mathias Højgaard Jensen , Anton Mallasto , Stefan Sommer

Temperature-controlled-growth of silver nanoclusters in soda glass matrix is investigated by low-frequency Raman scattering spectroscopy. Growth of the nanoclusters is ascribed to the diffusion-controlled precipitation of silver atoms due…

Materials Science · Physics 2009-11-10 P. Gangopadhyay , P. Magudapathy , R. Kesavamoorthy , B. K. Panigrahi , K. G. M. Nair , P. V. Satyam

This article presents a numerical simulation of solvent diffusion in transition metal dichalcogenide based nanomaterials during solvothermal reaction, leading to layer exfoliation and, consequently, a reduction in the average nanoparticle…

Materials Science · Physics 2026-04-14 Geetika Sahu

The transport equation of active motion is generalised to consider time-fractional dynamics for describing the anomalous diffusion of self-propelled particles observed in many different systems. In the present study, we consider an…

Statistical Mechanics · Physics 2023-10-27 Francisco J. Sevilla , Guillermo Chacón-Acosta , Trifce Sandev

Particle diffusion in a two dimensional curved surface embedded in $R_3$ is considered. In addition to the usual diffusion flow, we find a new flow with an explicit curvature dependence. New diffusion equation is obtained in $\epsilon$…

Biological Physics · Physics 2015-05-14 Naohisa Ogawa

We explore an efficient way to numerically evaluate the response of the surface stress of a metal to changes in its superficial charge density by analysis of the strain-dependence of the work function of the uncharged surface. As an…

Materials Science · Physics 2007-05-23 Y. Umeno , Ch. Elsässer , B. Meyer , P. Gumbsch , M. Nothacker , J. Weissmuller , F. Evers

A new combination of first principle molecular dynamics (MD) simulations with a rate equation model presented in the preceding paper (paper I) is applied to analyze in detail the scattering of argon atoms from a platinum (111) surface. The…

Plasma Physics · Physics 2018-09-10 A Filinov , M Bonitz , D Loffhagen

We study theoretically the self-propulsion dynamics of a small droplet on general curved surfaces by a variational approach. A new reduced model is derived based on careful computations for the capillary energy and the viscous dissipation…

Fluid Dynamics · Physics 2021-08-25 Yujuan Chen , Xianmin Xu