A new interpretation of the Einstein-Stokes-Smoluchowski relationship based on the forced harmonic oscillator model

IF 5.3 2区化学 Q2 CHEMISTRY, PHYSICAL

Journal of Molecular Liquids Pub Date : 2025-03-21 DOI:10.1016/j.molliq.2025.127427

Fernando C.M. Freire, Arthur E.T. Silva, Adriel J. Santana

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引用次数: 0

Abstract

The movement of ions in electrolytic solutions determines the conductivity of the fluid and, therefore, the impedance of the solution. Models explaining this behavior have been proposed for many years, such as circuit and diffusive models. Our modeling differs slightly from these two mentioned, but it contains all the necessary ingredients for understanding impedance and it is built upon an electro-mechanical model of damped and forced harmonic oscillation. It was possible to solve the problem analytically and obtain the dynamic behavior of the charged particles responsible for the electrical conduction of the medium, such as displacement and velocity amplitudes. We also provide a new interpretation for the Einstein-Stokes-Smoluchowski relations. Two variants of electro-mechanical model of increasing complexity are presented here in order to interprete and underline new results. The work provides a panoramic view of the dynamic behavior of the charged particles moving in an ionic fluid and, as a result, also provides extensions to the Einstein-Smoluchowski relations when analyzing viscosity, and therefore mobility and diffusion.

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来源期刊

Journal of Molecular Liquids 化学-物理：原子、分子和化学物理

CiteScore

10.30

自引率

16.70%

发文量

2597

审稿时长

78 days

期刊介绍： The journal includes papers in the following areas: – Simple organic liquids and mixtures – Ionic liquids – Surfactant solutions (including micelles and vesicles) and liquid interfaces – Colloidal solutions and nanoparticles – Thermotropic and lyotropic liquid crystals – Ferrofluids – Water, aqueous solutions and other hydrogen-bonded liquids – Lubricants, polymer solutions and melts – Molten metals and salts – Phase transitions and critical phenomena in liquids and confined fluids – Self assembly in complex liquids.– Biomolecules in solution The emphasis is on the molecular (or microscopic) understanding of particular liquids or liquid systems, especially concerning structure, dynamics and intermolecular forces. The experimental techniques used may include: – Conventional spectroscopy (mid-IR and far-IR, Raman, NMR, etc.) – Non-linear optics and time resolved spectroscopy (psec, fsec, asec, ISRS, etc.) – Light scattering (Rayleigh, Brillouin, PCS, etc.) – Dielectric relaxation – X-ray and neutron scattering and diffraction. Experimental studies, computer simulations (MD or MC) and analytical theory will be considered for publication; papers just reporting experimental results that do not contribute to the understanding of the fundamentals of molecular and ionic liquids will not be accepted. Only papers of a non-routine nature and advancing the field will be considered for publication.