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We prove a weighted a priori energy estimate for the two dimensional water-waves problem with contact points in the absence of gravity and surface tension. When the surface graph function and its time derivative have some decay near the…

Analysis of PDEs · Mathematics 2024-02-01 Mei Ming

We investigate the competition between electron-solid and quantum-liquid phases in graphene, which arise in partially filled Landau levels. The differences in the wave function describing the electrons in the presence of a perpendicular…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 M. E. Knoester , Z. Papic , C. Morais Smith

Graphene nanochannels are relevant for their possible applications, as in water purification, and for the challenge of understanding how they change the properties of confined liquids. Here, we use all-atom molecular dynamics simulations to…

Soft Condensed Matter · Physics 2021-03-25 Carles Calero , Giancarlo Franzese

This work describes the behaviour of water molecules in 1-butyl-3-methylimidazolium tetrafluoroborate ionic liquid under nanoconfinement between graphene sheets. By means of molecular dynamics simulations, an adsorption of water molecules…

We investigate the liquid-vapor interface of the restricted primitive model for an ionic fluid using a density functional approach. The applied theory includes the electrostatic contribution to the free energy functional arising from the…

Soft Condensed Matter · Physics 2011-06-17 A. Patrykiejew , S. Sokolowski , O. Pizio

In adaptive resolution simulations, molecular fluids are modeled employing different levels of resolution in different subregions of the system. When traveling from one region to the other, particles change their resolution on the fly. One…

Statistical Mechanics · Physics 2015-10-28 Karsten Kreis , Aoife C. Fogarty , Kurt Kremer , Raffaello Potestio

Mesoscale water-hydrophobic interfaces are of fundamental importance in multiple disciplines, but their molecular properties have remained elusive for decades due to experimental complications and alternate theoretical explanations.…

Chemical Physics · Physics 2024-05-06 Lixue Shi , R. Allen LaCour , Xiaoqi Lang , Joseph P. Heindel , Teresa Head-Gordon , Wei Min

Previously, using an incompressible von K\'arm\'an-Howarth formalism, the behavior of cross-scale energy transfer in magnetic reconnection and turbulence was found to be essentially identical to each other, independent of an external…

We probe the local inhomogeneities of the electronic properties of graphene at the nanoscale using scanning probe microscopy techniques. First, we focus on the study of the electronic inhomogeneities caused by the graphene-substrate…

Mesoscale and Nanoscale Physics · Physics 2012-10-16 A. Castellanos-Gomez , Arramel , M. Wojtaszek , R. H. M. Smit , N. Tombros , N. Agraït , B. J. van Wees , G. Rubio-Bollinger

The Poisson-Boltzmann mean-field description of ionic solutions has been successfully used in predicting charge distributions and interactions between charged macromolecules. While the electrostatic model of charged fluids, on which the…

Soft Condensed Matter · Physics 2014-04-22 Dan Ben-Yaakov , David Andelman , Daniel Harries , Rudi Podgornik

The electrified solid-liquid interface plays an essential role in many renewable energy-related applications, including hydrogen production and utilization. Limitations in computational modelling of the electrified solid-liquid interface…

Heat transfer between graphene and water is pivotal for various applications, including solarthermal vapor generation and the advanced manufacturing of graphene-based hierarchical structures in solution. In this study, we employ a…

Materials Science · Physics 2024-09-02 Haoran Cui , Iyyappa Rajan Panneerselvam , Pranay Chakraborty , Qiong Nian , Yiliang Liao , Yan Wang

The adsorption at the interface between an aqueous solution of several surface-active agents and another fluid (air or oil) phase is addressed theoretically. We derive the kinetic equations from a variation of the interfacial free energy,…

Soft Condensed Matter · Physics 2007-05-23 G. Ariel , H. Diamant , D. Andelman

Using extensive room-temperature molecular dynamics simulations, we investigate selective aqueous cation trapping and permeation in graphene-embedded 18-crown-6 ether pores. We show that in the presence of suspended water-immersed…

Applied Physics · Physics 2018-07-02 A. Smolyanitsky , E. Paulechka , K. Kroenlein

We present a new method for studying equilibrium properties of interacting fluids in an arbitrary external field. The fluid is composed of monodisperse spherical particles with hard-core repulsion and additional interactions of arbitrary…

Soft Condensed Matter · Physics 2021-03-09 Benaoumeur Bakhti , Gerhard Müller

We calculate, within the leading-order dynamical-screening approximation, the electron self-energy and spectral function at zero temperature for extrinsic (or gated/doped) graphene. We also calculate hot carrier inelastic scattering due to…

Mesoscale and Nanoscale Physics · Physics 2008-05-12 E. H. Hwang , Ben Yu-Kuang Hu , S. Das Sarma

Graphene hosts a unique electron system in which electron-phonon scattering is extremely weak but electron-electron collisions are sufficiently frequent to provide local equilibrium above liquid nitrogen temperature. Under these conditions,…

While important for many industrial applications, chemical reactions responsible for charging of solids in water are often poorly understood. We theoretically investigate the charging kinetics of solid-liquid interfaces, and find that the…

Soft Condensed Matter · Physics 2023-02-08 Willem Boon , Marjolein Dijkstra , René van Roij

As the synthesis of graphene on copper became one of the primary preparation methods for both fundamental research and industrial application, Raman spectra of graphene/Cu systems need to be quantitatively understood regarding how their…

Materials Science · Physics 2020-08-07 Jieun Choi , Seonghyun Koo , Myeongin Song , Daeyool Jung , Sungyool Choi , Sunmin Ryu

In this paper we review, and extend to the non-isothermal case, some results concerning the application of the maximum entropy closure technique to the derivation of hydrodynamic equations for particles with spin-orbit interaction and…

Mathematical Physics · Physics 2016-04-29 Luigi Barletti
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