International Journal of Thermal Sciences

Research Hotspot & Journal Scope - Boltzmann

Far from the particle, when the potential becomes lower than its thermal value \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\varphi }_{{\text{T}}}} = \frac{{kT}}{e}$$\end{document} (k is the Boltzmann constant, T is the temperature, and e is the elementary charge), the potential decreases exponentially irrespective of the counterion sizes: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\psi \left( r \right) = \frac{{\varphi \left( r \right)}}{{{{\varphi }_{{\text{T}}}}}} = {{\psi }_{{{\text{eff}}}}}\frac{a}{r}\exp \left( { - \kappa \left( {r - a} \right)} \right),$$\end{document} where r is the distance from the particle center and κ is the reciprocal Debye radius.

Besides, our results can be verified using the modified Stefan–Boltzmann law.

The model was trained using iteration Boltzmann inversion and a new heuristically–determined, distance–dependent scaling function that dramatically reduces the iterations required.

A pseudo-potential based single component multiphase Lattice Boltzmann flow solver was developed.

Results suggest that a size-modified Poisson-Boltzmann description of the electrolyte solution is sufficient to qualitatively reproduce the main experimental trends.