Field model for complex ionic fluids

12/19/2019 ∙ by Jian-Guo Liu, et al. ∙ 0 ∙ share

In this paper, we consider the field model for complex ionic fluids with an energy variational structure, and analyze the well-posedness to this model with regularized kernals. Furthermore, we deduce the estimate of the maximal density function to quantify the finite size effect. On the numerical side, we adopt a finite volume scheme to the field model, which satisfies the following properties: positivity-perserving, mass conservation and energy dissipation. Besides, series of numerical experiments are provided to demonstrate the properties of the steady state and the finite size effect.

READ FULL TEXT

Field model for complex ionic fluids: analytical properties and numerical investigation

In this paper, we consider the field model for complex ionic fluids with...
12/19/2019 ∙ by Jian-Guo Liu, et al. ∙ 0 ∙ share

read it
A unified structure preserving scheme for a multi-species model with a gradient flow structure and nonlocal interactions via singular kernels

In this paper, we consider a nonlinear and nonlocal parabolic model for ...
06/30/2020 ∙ by Yong Zhang, et al. ∙ 0 ∙ share

read it
On the Fusion of Compton Scatter and Attenuation Data for Limited-view X-ray Tomographic Applications

In this paper we demonstrate the utility of fusing energy-resolved obser...
07/05/2017 ∙ by Hamideh Rezaee, et al. ∙ 0 ∙ share

read it
Finite Volume approximation of a two-phase two fluxes degenerate Cahn-Hilliard model

We study a time implicit Finite Volume scheme for degenerate Cahn-Hillia...
05/04/2020 ∙ by Clément Cancès, et al. ∙ 0 ∙ share

read it
Efficient numerical methods for computing the stationary states of phase field crystal models

Finding the stationary states of a free energy functional is an importan...
02/23/2020 ∙ by Kai Jiang, et al. ∙ 0 ∙ share

read it
Variational wavefunctions for Sachdev-Ye-Kitaev models

Given a class of q-local Hamiltonians, is it possible to find a simple v...
09/08/2020 ∙ by Arijit Haldar, et al. ∙ 0 ∙ share

read it
A Finite-Volume Method for Fluctuating Dynamical Density Functional Theory

In this work we introduce a finite-volume numerical scheme for solving s...
10/11/2019 ∙ by Antonio Russo, et al. ∙ 0 ∙ share

read it

Field model for complex ionic fluids

Authors

Field model for complex ionic fluids: analytical properties and numerical investigation

A unified structure preserving scheme for a multi-species model with a gradient flow structure and nonlocal interactions via singular kernels

On the Fusion of Compton Scatter and Attenuation Data for Limited-view X-ray Tomographic Applications

Finite Volume approximation of a two-phase two fluxes degenerate Cahn-Hilliard model

Efficient numerical methods for computing the stationary states of phase field crystal models

Variational wavefunctions for Sachdev-Ye-Kitaev models

A Finite-Volume Method for Fluctuating Dynamical Density Functional Theory

This week in AI