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This article is concerned with the existence and the long time behavior of weak solutions to certain coupled systems of fourth-order degenerate parabolic equations of gradient flow type. The underlying metric is a Wasserstein-like…

Analysis of PDEs · Mathematics 2016-09-23 Daniel Matthes , Jonathan Zinsl

Methods for estimating the correlation energy of molecules and other electronic systems are discussed based on the assumption that the correlation energy can be partitioned between atomic regions. In one method, the electron density is…

Chemical Physics · Physics 2022-05-16 Jerry L. Whitten

Molecular wires (MW) are the fundamental building blocks for molecular electronic devices. They consist of a molecular unit connected to two continuum reservoirs of electrons (usually metallic leads). We rely on Landauer theory as the basis…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eldon Emberly , George Kirczenow

We present a quaternion inspired formalism specifically developed to evaluate the intensity of the electrical current that traverses a single molecule connected to two semi-infinite electrodes as the applied external bias is varied. The…

Mesoscale and Nanoscale Physics · Physics 2012-01-18 Augusto C. L. Moreira , Celso P. de Melo

We present a simulation method to study electrolyte solutions in a dielectric slab geometry using a modified 3D Ewald summation. The method is fast and easy to implement, allowing us to rapidly resum an infinite series of image charges. In…

Soft Condensed Matter · Physics 2015-08-12 Alexandre P. dos Santos , Yan Levin

We present a brief review of the classical density functional theory of atomic and molecular fluids. We focus on the application of the theory to the determination of the solvation properties of arbitrary molecular solutes in arbitrary…

Chemical Physics · Physics 2015-04-06 Guillaume Jeanmairet , Maximilien Levesque , Volodymyr Sergiievskyi , Daniel Borgis

The transport and noise properties of Pr_{0.7}Ca_{0.3}MnO_{3} epitaxial thin films in the temperature range from room temperature to 160 K are reported. It is shown that both the broadband 1/f noise properties and the dependence of…

Strongly Correlated Electrons · Physics 2013-12-12 C. Barone , A. Galdi , N. Lampis , L. Maritato , F. Miletto Granozio , S. Pagano , P. Perna , M. Radovic , U. Scotti di Uccio

Charge transport is a revealing probe of the quantum properties of materials. Strong interactions can blur charge carriers resulting in a poorly understood "quantum soup". Here we study the conductivity of the Fermi-Hubbard model, a testing…

Electrons move along potential or thermal gradients. In the presence of a global gradient, applied e.g. to the two terminals of a conductor, this induces electric charge and heat currents. They can also flow between two equilibrated…

Mesoscale and Nanoscale Physics · Physics 2018-06-27 Rafael Sánchez

Charge transport measurements on flexible Mo$_{6}$S$_{3}$I$_{6}$ (MoSI) nanowires with different diameters in highly imperfect 2-terminal circuits reveal systematic power law behaviour of the conductivity $\sigma(T,V)$ as a function of…

Mesoscale and Nanoscale Physics · Physics 2009-05-08 M. Uplaznik , B. Bercic , M. Remskar , D. Mihailovic

The general theory for quantum simulation of cubic semiconductor n-MOSFETs is presented within the effective mass equation approach. The full three-dimensional transport problem is described in terms of coupled transverse subband modes…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Anisur Rahman , Mark S. Lundstrom , Avik W. Ghosh

Fluid transport in microfluidic systems typically is laminar due to the low Reynolds number characteristic of the flow. The inclusion of suspended polymers imparts elasticity to fluids, allowing instabilities to be excited when substantial…

Soft Condensed Matter · Physics 2015-05-18 R. M. Bryce , M. R. Freeman

Describing analytically the transport properties of electrolytes, such as their conductivity or the self-diffusion of the ions, has been a central challenge of chemical physics for almost a century. In recent years, this question has…

Soft Condensed Matter · Physics 2023-09-21 Olivier Bernard , Marie Jardat , Benjamin Rotenberg , Pierre Illien

The electric double layer (EDL) that forms at the interface between metals and ionic solutions is at the heart of various energy technologies. Recent experimental data have challenged our traditional understanding of the EDL charging…

Statistical Mechanics · Physics 2026-03-05 Nils Bruch , Michael Eikerling , Tobias Binninger

Bulk viscosity is an important transport coefficient that exists in the hydrodynamical limit only when the underlying theory is non-conformal. One example being thermal QCD with large number of colors. We study bulk viscosity in such a…

High Energy Physics - Theory · Physics 2018-07-23 Alina Czajka , Keshav Dasgupta , Charles Gale , Sangyong Jeon , Aalok Misra , Michael Richard , Karunava Sil

This paper presents a thermodynamically consistent model for multicomponent electrolyte solutions. The first part of this paper derives the general governing equations for nonequilibrium systems within the theory of nonequilibrium…

Analysis of PDEs · Mathematics 2016-05-25 Matthias Herz , Peter Knabner

We present a method to embed local electroneutrality within Onsager-Stefan-Maxwell electrolytic-transport models, circumventing their formulation as differential systems with an algebraic constraint. Flux-explicit transport laws are…

Fluid Dynamics · Physics 2022-11-28 Alexander Van-Brunt , Patrick E. Farrell , Charles W. Monroe

Development of efficient and high-performing electrolytes is crucial for advancing energy storage technologies, particularly in batteries. Predicting the performance of battery electrolytes rely on complex interactions between the…

Machine Learning · Computer Science 2024-07-01 Indra Priyadarsini , Vidushi Sharma , Seiji Takeda , Akihiro Kishimoto , Lisa Hamada , Hajime Shinohara

Based on a collective description of electrolytes composed of charge-regulated macro-ions and simple salt ions, we analyze their equilibrium charge state in the bulk and their behavior in the vicinity of an external electrified surface. The…

Soft Condensed Matter · Physics 2020-10-06 Yael Avni , Rudolf Podgornik , David Andelman

The conductivity of concentrated salt solutions has posed a real puzzle for theories of electrolytes. Despite a quantitative understanding of dilute solutions, an analytical theory for concentrated ones remains a challenge for almost a…

Chemical Physics · Physics 2025-12-30 Olga I Vinogradova , Elena F Silkina