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Hypothesis A prototypical modelling approach is required for a full characterisation of the static and equilibrium dynamical properties of confined ionic liquids (ILs), in order to gain predictive power of properties that are difficult to…

Using computer simulations, the electrophoretic motion of a positively charged colloid (macroion) in an electrolyte solution is studied in the framework of the primitive model. Hydrodynamic interactions are fully taken into account by…

Soft Condensed Matter · Physics 2015-06-25 Apratim Chatterji , Jürgen Horbach

We use stochastic computer simulations to study the transport of a spherical cargo particle along a microtubule-like track on a planar substrate by several kinesin-like processive motors. Our newly developed adhesive motor dynamics…

Subcellular Processes · Quantitative Biology 2010-02-24 Christian B. Korn , Stefan Klumpp , Reinhard Lipowsky , Ulrich S. Schwarz

The purpose of this paper is to examine the Lagrangian stochastic modeling of the fluid velocity seen by inertial particles in a nonhomogeneous turbulent flow. A new Langevin-type model, compatible with the transport equation of the drift…

Fluid Dynamics · Physics 2009-07-01 Boris Arcen , Anne Tanière

Solid-state ionic conduction is a key enabler of electrochemical energy storage and conversion. The mechanistic connections between material processing, defect chemistry, transport dynamics, and practical performance are of considerable…

Materials Science · Physics 2022-08-04 Andrey D. Poletayev , James A. Dawson , M. Saiful Islam , Aaron M. Lindenberg

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…

Kinetic equations for the stationary state distribution function of ions moving through narrow pores are solved for a number of one-dimensional models of single ion transport. Ions move through pores of length $L$, under the action of a…

Soft Condensed Matter · Physics 2009-11-10 Jaroslaw Piasecki , Rosalind J. Allen , Jean-Pierre Hansen

We present an analytical model of salt- and water-ion transport across an ion-selective interface based on an assumption of local equilibrium of the water-dissociation reaction. The model yields current-voltage characteristics and curves of…

Fluid Dynamics · Physics 2014-04-18 Christoffer P. Nielsen , Henrik Bruus

A new computational method is presented for study suspensions of charged soft particles undergoing fluctuating hydrodynamic and electrostatic interactions. The proposed model is appropriate for polymers, proteins and porous particles…

Soft Condensed Matter · Physics 2015-04-14 Juan P. Hernandez-Ortiz , Juan J. de Pablo

In traditional hydrodynamic theories for ionic fluids, conservation of the mass and linear momentum is not properly taken care of. In this paper, we develop hydrodynamic theories for a viscous, ionic fluid of $N$ ionic species enforcing…

Fluid Dynamics · Physics 2018-11-08 Xiaogang Yang , Yuezheng Gong , Jun Li , Robert S. Eisenberg , Qi Wang

Ion transport in biological tissues is crucial in the study of many biological and pathological problems. Some multi-cellular structures, like smooth muscles on the vessel walls, could be treated as periodic bi-domain structures, which…

Analysis of PDEs · Mathematics 2021-03-11 Chun Xiao , Xingye Yue , Huaxiong Huang , Shixin Xu

Drag and diffusion of mobile ions in solids are of interest for both purely theoretical and applied scientific communities. This article proposes a theoretical description of ion drag in solids that can be used to estimate ionic…

Mesoscale and Nanoscale Physics · Physics 2022-06-24 Aleksandr Rodin , Keian Noori , Alexandra Carvalho , Antonio Helio Castro Neto

Complex plasma mixtures with three or more components are often encountered in astrophysics or in inertial confinement fusion (ICF) experiments. For mixtures containing species with large differences in atomic number Z, the modeling needs…

We develop a wave packet molecular dynamics framework for modeling the structural properties of partially-ionized dense plasmas, based on a chemical model that explicitly includes bound state wavefunctions. Using hydrogen as a…

We develop a theory based on the method of collective variables to study the vapor-liquid equilibrium of asymmetric ionic fluids confined in a disordered porous matrix. The approach allows us to formulate the perturbation theory using an…

Statistical Mechanics · Physics 2018-02-14 O. V. Patsahan , T. M. Patsahan , M. F. Holovko

One of the main elements of the self-consistent generalized Langevin equation (SCGLE) theory of colloid dynamics [Phys. Rev. E {\bf 62}, 3382 (2000); ibid {\bf 72}, 031107 (2005)] is the introduction of exact short-time moment conditions in…

Structural and thermodynamic properties of ionic fluids are related to those of a simpler ``mimic'' system with short ranged intermolecular interactions in a spatially varying effective field by use of Local Molecular Field (LMF) theory,…

Statistical Mechanics · Physics 2007-05-23 Yng-gwei Chen , Charanbir Kaur , John D. Weeks

The motion of active colloids is generally achieved through their anisotropy, as exemplified by Janus colloids. Recently, there was a growing interest in the propulsion of isotropic colloids, which requires some local symmetry breaking.…

Soft Condensed Matter · Physics 2021-09-08 Jeanne Decayeux , Vincent Dahirel , Marie Jardat , Pierre Illien

A generic approach to stochastic climate modelling is developed for the example of an idealized Atmosphere-Ocean model that rests upon Hasselmann's paradigm for stochastic climate models. Namely, stochasticity is incorporated into the fast…

Analysis of PDEs · Mathematics 2023-08-16 D. Crisan , D. D. Holm , P. Korn

We theoretically study the electrokinetic transport properties of nano-fluidic devices under the influence of a pressure, voltage or salinity gradient. On a microscopic level the behaviour of the device is quantified by the Onsager matrix…

Soft Condensed Matter · Physics 2019-12-02 B. L. Werkhoven , R. van Roij