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We present a continuation of our theoretical research into the influence of co-solvent polarizability on a differential capacitance of the electric double layer [EPL 111, 28002 (2015)]. We formulate a modified Poisson-Boltzmann theory,…

Soft Condensed Matter · Physics 2016-05-11 Yu. A. Budkov , A. L. Kolesnikov , M. G. Kiselev

In this paper we apply the lattice-Boltzmann method and an extension to particle suspensions as introduced by Ladd et al. to study transport phenomena and structuring effects of particles suspended in a fluid near sheared solid walls. We…

Soft Condensed Matter · Physics 2007-05-23 A. Komnik , J. Harting , H. J. Herrmann

The existence of stationary distributions in a multicomponent Boltzmann equation using a non-additive kinetic energy composition rule for binary collisions is discussed. It is found that detailed balance is not achieved when -- in contrast…

Statistical Mechanics · Physics 2014-08-19 M. Horváth , T. S. Biró

We investigate the transient bubbles that spontaneously appear in a simple liquid using molecular simulations. The objective is to deduce the free-energy of formation of the bubbles $W(s)$ from the bubble size distribution $p(s)$ through…

Soft Condensed Matter · Physics 2025-05-06 J. Puibasset

We derive multicomponent relativistic second-order dissipative fluid dynamics from the Boltzmann equations for a reactive mixture of $N_{\text{spec}}$ particle species with $N_q$ intrinsic quantum numbers (e.g. electric charge, baryon…

Nuclear Theory · Physics 2022-08-31 Jan A. Fotakis , Etele Molnár , Harri Niemi , Carsten Greiner , Dirk H. Rischke

In this article we review the thermodynamics of liquids in the framework of the inherent structure formalism. We then present calculations of the distribution of the basins in the potential energy of a binary Lennard-Jones mixture as a…

Soft Condensed Matter · Physics 2009-10-31 F. Sciortino , W. Kob , P. Tartaglia

A previously proposed [X. Shan and H. Chen, Phys. Rev. E {\bf 47}, 1815, (1993)] lattice Boltzmann model for simulating fluids with multiple components and interparticle forces is described in detail. Macroscopic equations governing the…

comp-gas · Physics 2009-10-28 Xiaowen Shan , Gary Doolen

This article considers fluid structure interaction describing the motion of a fluid contained in a porous medium. The fluid is modelled by Navier-Stokes equations and the coupling between fluid and the porous medium is described by the…

Analysis of PDEs · Mathematics 2025-01-17 Tim Binz , Matthias Hieber , Arnab Roy

A lattice Boltzmann model is introduced which simulates oil-water-surfactant mixtures. The model is based on a Ginzburg-Landau free energy with two scalar order parameters. Diffusive and hydrodynamic transport is included. Results are…

Soft Condensed Matter · Physics 2009-10-31 A. Lamura , G. Gonnella , J. M. Yeomans

The Drude-Lorentz model for the motion of electrons in a solid is a classical model in statistical mechanics, where electrons are represented as point particles bouncing on a fixed system of obstacles (the atoms in the solid). Under some…

Mathematical Physics · Physics 2016-06-29 François Golse

In this paper we develop a simple theory to study the effects of ionic size on ionic distributions around a charged spherical particle. We include a correction to the regular Poisson-Boltzmann equation in order to take into account the size…

Soft Condensed Matter · Physics 2017-08-30 Thiago Colla , Lucas Nunes Lopes , Alexandre P. dos Santos

The Poisson Boltzmann equation is known for its success in describing the Debye layer that arises from the charge separation phenomenon at the silica/water interface. However, by treating only the mobile ionic charges in the liquid, the…

Soft Condensed Matter · Physics 2019-07-30 Maijia Liao , Li Wan , Shixin Xu , Chun Liu , Ping Sheng

Using methods of kinetic theory and liquid state theory we propose a description of the non-equilibrium behavior of molecular fluids which takes into account their microscopic structure and thermodynamic properties. The present work…

Statistical Mechanics · Physics 2009-02-24 Umberto Marini Bettolo Marconi , Simone Melchionna

We present a nonlocal electrostatic formulation of nonuniform ions and water molecules with interstitial voids that uses a Fermi-like distribution to account for steric and correlation effects in electrolyte solutions. The formulation is…

Soft Condensed Matter · Physics 2017-03-27 Jinn-Liang Liu , Dexuan Xie , Bob Eisenberg

Poisson-Boltzmann theory allows one to study soft matter and biophysical systems involving point-like charges of low valencies. The inclusion of fluctuation corrections beyond the mean-field approach typically requires the application of…

Soft Condensed Matter · Physics 2018-04-30 R. Blossey , A. C. Maggs

Several recent results are reported from work aiming to improve the quantitative precision of relativistic viscous fluid dynamics for relativistic heavy-ion collisions. The dense matter created in such collisions expands in a highly…

Nuclear Theory · Physics 2017-03-16 U. Heinz , D. Bazow , G. S. Denicol , M. Martinez , M. Nopoush , J. Noronha , R. Ryblewski , M. Strickland

The microscopic approach to the description of the phase behaviour and critical phenomena in binary fluid mixtures is proposed. It is based on the method of collective variables with a reference system. The physical nature of the order…

Condensed Matter · Physics 2009-10-31 O. V. Patsahan

In this paper we study binary interaction schemes with uncertain parameters for a general class of Boltzmann-type equations with applications in classical gas and aggregation dynamics. We consider deterministic (i.e., a priori averaged) and…

Analysis of PDEs · Mathematics 2018-11-05 Andrea Tosin , Mattia Zanella

In this paper we propose a nonlinear elasticity model of macromolecular conformational change (deformation) induced by electrostatic forces generated by an implicit solvation model. The Poisson-Boltzmann equation for the electrostatic…

Analysis of PDEs · Mathematics 2010-01-12 Yongcheng Zhou , Michael Holst , James Andrew McCammon

With the rapid development of studies involving droplet microfluidics, drug delivery, cell detection, and microparticle synthesis, among others, many scientists have invested significant efforts to model the flow of these fluid-filled…