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Polymer materials with low water uptake exhibit a highly heterogeneous interior, characterized by water clusters in the form of nanodroplets and nanochannels. Here, based on our recent insights from computer simulations, we argue that water…

Soft Condensed Matter · Physics 2022-06-16 Matej Kanduč , Rafael Roa , Won Kyu Kim , Joachim Dzubiella

In the present paper we consider a 2-D shallow-water equations (SWE) model on a $\beta$-plane solved using an alternating direction fully implicit (ADI) finite-difference scheme on a rectangular domain. The scheme was shown to be…

Computational Physics · Physics 2015-06-12 Razvan Stefanescu , Ionel Michael Navon

The AGBNP2 implicit solvent model, an evolution of the Analytical Generalized Born plus Non-Polar (AGBNP) model we have previously reported, is presented with the aim of modeling hydration effects beyond those described by conventional…

Biomolecules · Quantitative Biology 2009-03-19 Emilio Gallicchio , Kristina Paris , Ronald M. Levy

Recently, we introduced Relative Resolution as a hybrid formalism for fluid mixtures [1]. The essence of this approach is that it switches molecular resolution in terms or relative separation: While nearest neighbors are characterized by a…

Statistical Mechanics · Physics 2019-10-09 Aviel Chaimovich , Kurt Kremer , Christine Peter

In transitions between different environmental settings, a molecular system inevitably undergoes a range of detectable changes, and the ability to accurately simulate such responses, e.g., in the form of shifts to molecular energies,…

Chemical Physics · Physics 2026-01-14 Kasper F. Schaltz , Jonas Greiner , Filippo Lipparini , Janus J. Eriksen

Understanding intrusion and extrusion in nanoporous materials is a challenging multiscale problem of utmost importance for applications ranging from energy storage and dissipation to water desalination and hydrophobic gating in ion…

Soft Condensed Matter · Physics 2023-05-25 Gonçalo Paulo , Alberto Gubbiotti , Alberto Giacomello

Liquid transport through nanopore is central into many applications, from water purification to biosensing or energy harvesting. Ultimately thin nanopores are of major interest in these applications to increase driving potential and reduce…

Fluid Dynamics · Physics 2020-10-05 Olivier Liot , Catherine Sempere , Christophe Ybert , Anne-Laure Biance

Purpose: To develop a fat-water separation approach that corrects bipolar readout gradient induced effects, without additional scans, that is compatible with any fat-water separation method. Theory and Methods: The proposed approach…

Medical Physics · Physics 2025-05-20 Jorge Campos Pazmino , Renée-Claude Bider , Véronique Fortier , Ives R. Levesque

In order to achieve a better understanding of degradation processes in lithium-ion batteries, the modelling of cell dynamics at the mircometer scale is an important focus of current mathematical research. These models lead to…

Numerical Analysis · Mathematics 2018-03-09 Mario Ohlberger , Stephan Rave , Sebastian Schmidt , Shiquan Zhang

New experiments for water at the surface of proteins at very low temperature display intriguing dynamic behaviors. The extreme conditions of these experiments make it difficult to explore the wide range of thermodynamic state points needed…

Numerical simulations of physical systems exhibit discrepancies arising from unmodeled physics and idealizations, as well as numerical approximation errors stemming from discretization and solver tolerances. This article reviews techniques…

Computational Physics · Physics 2026-01-23 Danny Smyl

Whereas direct numerical simulation (DNS) have reached a high level of description in the field of atomization processes, they are not yet able to cope with industrial needs since they lack resolution and are too costly. Predictive…

We report an extensive theoretical study of the protonated water dimer (Zundel ion) by means of the highly correlated variational Monte Carlo and lattice regularized Monte Carlo approaches. This system represents the simplest model for…

Chemical Physics · Physics 2013-12-11 Mario Dagrada , Michele Casula , Antonino M. Saitta , Sandro Sorella , Francesco Mauri

Ionic liquids constrained at interfaces or restricted in subnanometric pores are increasingly employed in modern technologies, including energy applications. Understanding the details of their behavior in these conditions is therefore…

Materials Science · Physics 2018-09-25 Stefano Mossa

A macroscopic model to describe the dynamics of ion transport in ion channels is the Poisson-Nernst-Planck(PNP) equations. In this paper, we develop a finite-difference method for solving PNP equations, which is second-order accurate in…

Numerical Analysis · Mathematics 2013-03-18 Allen Flavell , Michael Machen , Bob Eisenberg , Chun Liu , Xiaofan Li

Traditional approaches to mathematically describe spontaneous imbibition are usually based on either macro-scale models, such as Richards equation, or simplified pore-scale models, such as the bundle of capillary tubes (BCTM) or…

Fluid Dynamics · Physics 2024-08-07 Luka Malenica , Zhidong Zhang , Ueli Angst

Finite element methods typically require a high resolution to satisfactorily approximate micro and even macro patterns of an underlying physical model. This issue can be circumvented by appropriate multiscale strategies that are able to…

Numerical Analysis · Mathematics 2025-12-24 Zhi-Song Liu , Roland Maier , Andreas Rupp

Ion transport within confined environments, like nanopores and nanotubes, is pivotal for advancing a range of applications, including biosensors, seawater desalination, and energy storage devices. Existing research does not sufficiently…

Mesoscale and Nanoscale Physics · Physics 2023-12-01 Zhenyu Wei , Yunfei Chen

The Poisson-Nernst-Planck (PNP) equations are fundamental for modeling ion transport in electrochemical systems, capturing the intricate interplay of concentration gradients, electric fields, and ion fluxes essential for applications such…

Chemical Physics · Physics 2025-01-13 Yitao He , Dan Zhao

Accurate simulations are essential for engineering applications, and intricate continuum mechanical material models are constructed to achieve this goal. However, the increasing complexity of the material models and geometrical properties…

Computational Engineering, Finance, and Science · Computer Science 2023-11-30 Steffen Kastian , Jannick Kehls , Tim Brepols , Stefanie Reese
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