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A modified Poisson-Nernst-Planck system in a bounded domain with mixed Dirichlet-Neumann boundary conditions is analyzed. It describes the concentrations of ions immersed in a polar solvent and the correlated electric potential due to the…

Analysis of PDEs · Mathematics 2023-05-25 Ansgar Jüngel , Annamaria Massimini

Understanding the response of the surface of metallic solids to external electric field sources is crucial to characterize electrode-electrolyte interfaces. Continuum electrostatics offer a simple description of the induced charge density…

Chemical Physics · Physics 2021-12-14 Giovanni Pireddu , Laura Scalfi , Benjamin Rotenberg

We study the transport through a molecular junction exhibiting interference effects. We show that these effects can still be observed in the presence of molecular vibrations if Coulomb repulsion is taken into account. In the Kondo regime,…

Strongly Correlated Electrons · Physics 2019-09-04 P. Roura-Bas , F. Güller , L. Tosi , A. A. Aligia

Charge migration is the electronic response that immediately follows localized ionization or excitation in a molecule, before the nuclei have time to move. It typically unfolds on sub-femtosecond time scales and most often corresponds to…

Atomic and Molecular Clusters · Physics 2022-03-07 Francois Mauger , Aderonke Folorunso , Kyle Hamer , Cristel Chandre , Mette Gaarde , Kenneth Lopata , Kenneth Schafer

The problems of high linear conductivity in an electric field, as well as nonlinear conductivity, are considered for plasma-like systems. First, we recall several observations of nonlinear fast charge transport in dusty plasma, molecular…

Plasma Physics · Physics 2015-06-23 S. A. Trigger , W. Ebeling , G. J. F. van Heijst , D. Litinski

We study the thermodynamic behavior of nonpolar liquid mixtures in the vicinity of curved charged objects, such as electrodes or charged colloids. For small enough charge on the object, or equivalently, small potential, the…

Statistical Mechanics · Physics 2009-11-13 Gilad Marcus , Sela Samin , Yoav Tsori

We consider a Hamiltonian model for a quantum dot which is placed between two superconducting leads with a constant bias imposed between these leads. Using the non-equilibrium Keldysh technique, we focus on the subgap current, where it is…

Mesoscale and Nanoscale Physics · Physics 2009-12-02 Thibaut Jonckheere , Alex Zazunov , K. Bayandin , Vitaly Shumeiko , Thierry Martin

We use Lippman-Schwinger scattering theory to study nonequilibrium electron transport through an interacting open quantum dot. The two-particle current is evaluated exactly while we use perturbation theory to calculate the current when the…

Mesoscale and Nanoscale Physics · Physics 2022-11-09 Dibyendu Roy , Abhiram Soori , Diptiman Sen , Abhishek Dhar

A closed set of coupled equations of motion for the description of time-dependent electron transport is derived. It provides the time evolution of energy-resolved quantities constructed from non-equilibrium Green functions. By means of an…

Mesoscale and Nanoscale Physics · Physics 2009-12-10 Alexander Croy , Ulf Saalmann

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

A theoretical model of electromigrative, diffusive and convectivetransport polymer-gel composites is presented. Bulk properties are derived from the standard electrokinetic model with an impenetrable charged sphere embedded in an…

Soft Condensed Matter · Physics 2007-05-23 Reghan J. Hill

Electric, thermal and thermoelectric transport in correlated electron systems probe different aspects of the many-body dynamics, and thus provide complementary information. These are well studied in the low- and high-temperature limits,…

Strongly Correlated Electrons · Physics 2020-02-19 Woo-Ram Lee , Alexander M. Finkel'stein , Karen Michaeli , Georg Schwiete

This review presents recent results on the physics of electron transport in molecular devices. The review is organized as follows. A brief description of molecular junction (MJ) technology is first given followed by an introduction to the…

Mesoscale and Nanoscale Physics · Physics 2021-11-23 Dominique Vuillaume

We present dynamics calculations showing how electron-correlation-driven charge migration occurring in the correlation band of ionized molecules can lead to a redistribution of the charge increasing the stability of the system. These…

Chemical Physics · Physics 2022-08-31 Victor Despré , Alexander I. Kuleff

An integrated piecewise thermal equilibrium approach based on the first-principles calculation method has been developed to calculate bias dependent electronic structures and current- and differential conductance-voltage characteristics of…

Other Condensed Matter · Physics 2009-11-13 M. -H. Tsai , T. -H. Lu , Y. -H. Tang

We consider an electron interacting locally with two-level systems (TLSs) as an archetypal model for charge transport in the presence of inelastic scatterers. To assess the importance of quantum effects in the optical and d.c. conductivity…

Strongly Correlated Electrons · Physics 2025-09-25 Hadi Rammal , Sergio Ciuchi , Simone Fratini

Nonequilibrium Greens function techniques (NEGF) combined with density functional theory (DFT) calculations have become a standard tool for the description of electron transport through single molecule nanojunctions in the coherent…

Mesoscale and Nanoscale Physics · Physics 2015-11-05 Victor Geskin , Robert Stadler , Jérôme Cornil

Non-equilibrium Green's functions (NEGF) formalism combined with extended Huckel (EHT) and charging model are used to study electrical conduction through single-molecule junctions. Analyzed molecular complex is composed of asymmetric…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Kamil Walczak , Sergey Edward Lyshevski

Recent theoretical advances, based on a combination of concepts from Thouless' topological theory of adiabatic charge transport and a newly introduced gauge-invariance principle for transport coefficients, have permitted to connect (and…

Materials Science · Physics 2023-09-08 Paolo Pegolo , Stefano Baroni , Federico Grasselli

Electron transport through a nanostructure can be characterized in part using concepts from classical fluid dynamics. It is thus natural to ask how far the analogy can be taken, and whether the electron liquid can exhibit nonlinear…

Mesoscale and Nanoscale Physics · Physics 2013-08-27 Neil Bushong , John Gamble , Massimiliano Di Ventra
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