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The construction of a generalized (higher-order) nonlinear thermo-hydrodynamics, based on a nonequilibrium ensemble formalism has been presented in the preceding article. The working of such theory is illustrated in the present one. We…

Statistical Mechanics · Physics 2007-05-23 J. Galvão Ramos , Áurea R. Vasconcellos , Roberto Luzzi

The pair-interactions U_{ij}(r) determine the thermodynamics and linear transport properties of matter via the pair-distribution functions (PDFs), i.e., g_{ij}(r). Great simplicity is achieved if U_{ij}(r) could be directly used to predict…

Plasma Physics · Physics 2015-06-11 M. W. C. Dharma-wardana

This paper examines the problem of estimating the parameters of a Lithium-Sulfur (LiS) battery from experimental cycling data. LiS batteries are attractive compared to traditional Lithium-Ion batteries, thanks largely to their potential to…

Systems and Control · Electrical Eng. & Systems 2021-02-17 Chu Xu , Timothy Cleary , Guoxing Li , Donghai Wang , Hosam K. Fathy

A recent experiment driving colloids electromagnetically, by B\'erut et al. [2014 Europhys. Lett. 107, 60004], is an ideal paradigm for illustrating a linear response theory for nonequilibrium overdamped systems including hydrodynamic…

Statistical Mechanics · Physics 2016-03-22 Cem Yolcu , Marco Baiesi

We couple the Leaky Membrane Model, which describes the diffusion and electromigration of ions in a homogenized porous medium of fixed background charge, with Butler-Volmer reaction kinetics for flat electrodes separated by such a medium in…

Chemical Physics · Physics 2018-02-08 Edwin Khoo , Martin Z. Bazant

We construct a mean-field formulation of the thermodynamics of ion solvation in immiscible polar binary mixtures. Assuming an equilibrium planar interface separating two semi-infinite regions of different constant dielectric medium, we…

Soft Condensed Matter · Physics 2007-10-03 William Kung , Francisco J. Solis , Monica Olvera de la Cruz

In this article we discuss the well-posedness of a mathematical model that is used in the literature for the simulation of Lithium-ion (Li-ion) batteries. First, a mathematical model based on a macro-homogeneous approach is presented,…

Analysis of PDEs · Mathematics 2015-06-02 Angel Manuel Ramos

Non-equilibrium of electrons, phonons, and magnons in metals is a fundamental phenomenon in condensed matter physics and serves as an important driver in the field of ultrafast magnetism. In this work, we demonstrate that the magnetization…

Materials Science · Physics 2020-02-19 Hyejin Jang , Johannes Kimling , David G. Cahill

Charge and heat transport through a single molecule tunnel-coupled to external normal electrodes have been studied. The molecule with sufficiently strong interaction between lectrons and vibrational internal degrees of freedom can be…

Mesoscale and Nanoscale Physics · Physics 2012-04-16 Karol Izydor Wysokinski

Non-destructive determination of lithium distribution in a working battery is key for addressing both efficiency and safety issues. Although various techniques have been developed to map the lithium distribution in electrodes, these methods…

This paper is concerned with the analysis of the quasi-static thermo-poroelastic model. This model is nonlinear and includes thermal effects compared to the classical quasi-static poroelastic model (also known as Biot's model). It consists…

Analysis of PDEs · Mathematics 2018-07-05 Mats K. Brun , Elyes Ahmed , Florin A. Radu , Jan Martin Nordbotten

The charge distribution at the interface between two electrolytes is studied for the case of non-vanishing ion fluxes. The analysis is an extension of the established Verwey-Niessen theory to non-equilibrium situations. Applying matched…

Soft Condensed Matter · Physics 2011-05-03 Steffen Hardt , Tobias Baier

In recent years, thermophoresis has emerged as a promising tool for quantifying biomolecular interactions. The underlying physical effect is still not understood. To gain deeper insight, we investigate whether non-equilibrium coefficients…

Chemical Physics · Physics 2022-11-07 Shilpa Mohanakumar , Namkyu Lee , Simone Wiegand

We employ a novel, unbiased renormalization-group approach to investigate non-equilibrium phase transitions in infinite lattice models. This allows us to address the delicate interplay of fluctuations and ordering tendencies in low…

Strongly Correlated Electrons · Physics 2020-11-17 Christian Klöckner , Christoph Karrasch , Dante Marvin Kennes

In solid-state electrochemical experiments, the boundary between the sample and the electrolyte plays a crucial role, and the rest of the sample acting as a buffer that maintains a fixed composition. Due to the presence of an…

Materials Science · Physics 2023-10-24 Yakov I. Korepanov

Solid ionic conductors are essential components of batteries and fuel cells. In many cases, ionic conduction through crystalline materials with substitutional disorder can be modeled with atomic-scale lattice model percolation simulations.…

Materials Science · Physics 2023-02-15 Alexander Urban

A general physics-based model is developed for heterogeneous electrocatalysis in porous electrodes and used to predict and interpret the impedance of solid oxide fuel cells. This model describes the coupled processes of oxygen gas…

Chemical Physics · Physics 2014-12-05 Y. Fu , S. Poizeau , A. Bertei , C. Qi , A. Mohanram , J. D. Pietras , M. Z. Bazant

The capacity fade of modern lithium ion batteries is mainly caused by the formation and growth of the solid-electrolyte interphase (SEI). Numerous continuum models support its understanding and mitigation by studying SEI growth during…

Chemical Physics · Physics 2020-10-29 Lars von Kolzenberg , Arnulf Latz , Birger Horstmann

Cell inconsistency within a lithium-ion battery system poses a significant challenge in maximizing the system operational time. This study presents an optimization-driven active balancing method to minimize the effects of cell inconsistency…

Systems and Control · Electrical Eng. & Systems 2024-05-03 Yiming Xu , Xiaohua Ge , Ruohan Guo , Weixiang Shen

The most common mathematical models for electrolyte flows are based on the dilute solution assumption, leading to a coupled system of the Nernst--Planck--Poisson drift-diffusion equations for ion transport and the Stokes resp.…

Chemical Physics · Physics 2019-01-23 Jürgen Fuhrmann , Clemens Guhlke , Christian Merdon , Alexander Linke , Rüdiger Müller
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