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A solute-blocking model is presented that provides a kinetic explanation of osmosis and ideal solution thermodynamics. It validates a diffusive model of osmosis that is distinct from the traditional convective flow model of osmosis. Osmotic…

生物物理 · 物理学 2021-12-14 Peter Hugo Nelson

When the concentration of electrolyte solution varies along the channel the forces arise that drag the fluid toward the higher or lower concentration region inducing a flow termed diffusio-osmotic. This article investigates a flow that…

软凝聚态物质 · 物理学 2025-12-30 Evgeny S. Asmolov , Elena F. Silkina , Olga I. Vinogradova

Osmosis plays a central role in the function of living and soft matter systems. While the thermodynamics of osmosis is well understood, the underlying microscopic dynamical mechanisms remain the subject of discussion. Unraveling these…

软凝聚态物质 · 物理学 2015-06-05 Thomas W. Lion , Rosalind J. Allen

We introduce a model for ionic electrodiffusion and osmotic water flow through cells and tissues. The model consists of a system of partial differential equations for ionic concentration and fluid flow with interface conditions at deforming…

细胞行为 · 定量生物学 2017-08-23 Yoichiro Mori , Chun Liu , Robert S. Eisenberg

We construct a mathematical model for a diffusiophoretic motion of a deformable droplet, which is floating on a liquid surface and is driven by the surface tension gradient originating from the surface concentration field of the chemicals…

斑图形成与孤子 · 物理学 2026-03-11 Hiroyuki Kitahata , Yuki Koyano , Yasuaki Kobayashi , Masaharu Nagayama

Diffusive molecular dynamics is a novel model for materials with atomistic resolution that can reach diffusive time scales. The main ideas of diffusive molecular dynamics are to first minimize an approximate variational Gaussian free energy…

数值分析 · 数学 2015-06-09 Gideon Simpson , Mitchell Luskin , David J. Srolovitz

We present an accurate free-energy functional for liquid water written in terms of a set of effective potential fields in which fictitious noninteracting water molecules move. The functional contains an \emph{exact} expression of the…

软凝聚态物质 · 物理学 2011-04-19 Johannes Lischner , T. A. Arias

Elastic models of the glass transition relate the relaxation dynamics and the elastic properties of structural glasses. They are based on the assumption that the relaxation dynamics occurs through activated events in the energy landscape…

软凝聚态物质 · 物理学 2015-08-20 M. Pica Ciamarra , Peter Sollich

The stochastic differential equations for a model of dissipative particle dynamics, with both total energy and total momentum conservation at every time-step, are presented. The algorithm satisfies detailed balance as well as the…

统计力学 · 物理学 2007-05-23 Allan D. Mackie , Josep Bonet Avalos

The paper presents a theoretical model that allows the dynamic description of osmotic flows through a semi-permeable interface. To depict the out-of-equilibrium transfer, the interface is represented by an energy barrier that colloids have…

软凝聚态物质 · 物理学 2017-09-18 Patrice Bacchin

A simple manner to describe the diffusive relaxation of a colloidal fluid adsorbed in a porous medium is to model the porous medium as a set of spherical particles fixed in space at random positions with prescribed statistical structural…

Compressible flow varies from ideal-gas behavior at high pressures where molecular interactions become important. Density is described through a cubic equation of state while enthalpy and sound speed are functions of both temperature and…

流体动力学 · 物理学 2020-03-11 William A. Sirignano

'A basic and basically unsolved problem in fluid dynamics is to determine the evolution of rising bubbles and falling drops of one miscible liquid in another' [1]. Here, we address this important literature gap and present the first theory…

流体动力学 · 物理学 2023-05-11 Jan Martin Nordbotten , Endre Joachim Lerheim Mossige

Molecular dynamics simulations are used to study the mechanism and kinetics of hydrated electron diffusion. The electron center of mass is found to exhibit Brownian-type behavior with a diffusion coefficient considerably greater than that…

化学物理 · 物理学 2012-11-06 Kafui A. Tay , François-Xavier Coudert , Anne Boutin

A vibrational model of transport properties of dense fluids assumes that solid-like oscillations of atoms around their temporary equilibrium positions dominate the dynamical picture. The temporary equilibrium positions of atoms do not form…

软凝聚态物质 · 物理学 2024-01-09 Sergey Khrapak

The basic continuum model for polar fluids is deceptively simple. The free energy integral consists of four terms: The coupling of polarization to an external field, the electrostatic energy of the induced electric field interacting with…

软凝聚态物质 · 物理学 2021-12-22 Michiel Sprik

A microscopic model able to describe simultaneously the dynamic viscosity and the self-diffusion coefficient of fluids is presented. This model is shown to emerge from the introduction of fractional calculus in a usual model of condensed…

统计力学 · 物理学 2021-11-24 F. Aitken , F. Volino

Diffusive transport of a particle in spatially correlated random energy landscape having exponential density of states has been considered. We exactly calculate the diffusivity in the nondispersive quasi-equilibrium transport regime and…

无序系统与神经网络 · 物理学 2018-02-14 S. V. Novikov

We consider a model describing the behavior of a mixture of two incompressible fluids with the same density in isothermal conditions. The model consists of three balance equations: continuity equation, Navier-Stokes equation for the mean…

数学物理 · 物理学 2015-05-20 A. Berti , V. Berti , D. Grandi

Diffusivity, a measure for how rapidly a fluid self-mixes, shows an intimate, but seemingly fragmented, connection to thermodynamics. On one hand, the "configurational" contribution to entropy (related to the number of mechanically-stable…

统计力学 · 物理学 2007-05-23 Jeetain Mittal , Jeffrey R. Errington , Thomas M. Truskett
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