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We present theoretical models for the time-dependent voltage of an electrochemical cell in response to a current step, including effects of diffuse charge (or "space charge") near the electrodes on Faradaic reaction kinetics. The full model…

Chemical Physics · Physics 2015-05-14 M. van Soestbergen , P. M. Biesheuvel , M. Z. Bazant

The theory of transport phenomena in multicomponent electrolyte solutions is presented here through the integration of continuum mechanics, electromagnetism, and non-equilibrium thermodynamics. The governing equations of irreversible…

Statistical Mechanics · Physics 2020-11-02 Kara D. Fong , Helen K. Bergstrom , Bryan D. McCloskey , Kranthi K. Mandadapu

We investigate equilibrium and non-equilibrium charge-transfer processes by performing high-resolution transport spectroscopy. Using electrostatically defined quantum dots for energy-selective emission and detection, we achieved…

We theoretically study the nonequilibrium thermoelectric transport properties of a strongly-correlated molecule (or quantum dot) embedded in a tunnel junction. Assuming that the coupling of the molecule to the contacts is asymmetric, we…

Mesoscale and Nanoscale Physics · Physics 2023-02-22 Anand Manaparambil , Ireneusz Weymann

We consider the junction of multiple one-dimensional systems and study how conserved currents transport at the junction. To characterize the transport process, we introduce reflection/transmission coefficients by applying boundary conformal…

High Energy Physics - Theory · Physics 2015-07-30 Taro Kimura , Masaki Murata

The traditional approach to studying near-field thermal transfer is based on fluctuational electrodynamics. However, this approach may not be suitable for nonequilibrium states due to dynamic drivings. In our work, we introduce a…

Mesoscale and Nanoscale Physics · Physics 2024-02-26 Gaomin Tang , Jian-Sheng Wang

Molecular dynamics simulations are used to study the mechanism and kinetics of hydrated electron diffusion. The electron center of mass is found to exhibit Brownian-type behavior with a diffusion coefficient considerably greater than that…

Chemical Physics · Physics 2012-11-06 Kafui A. Tay , François-Xavier Coudert , Anne Boutin

The amorphous propagation of microstructures during the electrochemical charging of a battery is the main reason for the capacity decay and short circuit. The charge distribution across the micro-structure is the result of both local and…

Chemical Physics · Physics 2020-08-24 Asghar Aryanfar , Dimitri M. Saad , William A. Goddard

We determine the zero-frequency charge current noise in a metal-molecule-metal junction embedded in a thermal environment, e.g., a solvent, dominated by sequential charge transmission described by a classical master equation, and study its…

Chemical Physics · Physics 2022-11-02 Henning Kirchberg , Abraham Nitzan

We develop a general theory for thermal transport in anharmonic systems under the weak system-bath coupling approximation similar to the quantum master equation formalism. A current operator is derived, which is valid not only in the steady…

Mesoscale and Nanoscale Physics · Physics 2012-05-28 Juzar Thingna , J. L. García-Palacios , Jian-Sheng Wang

Using non-equilibrium Green's functions, we derive a formula for the electron current through a lead-molecule-lead nanojunction where the interactions are not restricted to the central region, but are spread throughout the system, including…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 H. Ness , L. K. Dash

Quantum transport through single molecules is very sensitive to the strength of the molecule-electrode contact. Here, we investigate the behavior of a model molecular junction weakly coupled to external electrodes in the case where charging…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Bo Song , Dmitry A. Ryndyk , Gianaurelio Cuniberti

Charge transport through molecular junctions is often described either as a purely coherent or a purely classical phenomenon, and described using the Landauer-B\"uttiker formalism or Marcus theory, respectively. Using a generalised quantum…

Mesoscale and Nanoscale Physics · Physics 2018-10-23 Jakub K. Sowa , Jan A. Mol , G. Andrew D. Briggs , Erik M. Gauger

A fourth-order Schr\"{o}dinger equation for the description of charge transport in semiconductors in the ballistic regime is proposed with the inclusion of non-parabolic effects in the dispersion relation in order to go beyond the simple…

Mathematical Physics · Physics 2025-07-15 Giulia Elena Aliffi , Giovanni Nastasi , Vittorio Romano

A new statistical model for the combined effects of decoherence, energy redistribution and dissipation on electron transport in large quantum systems is introduced. The essential idea is to consider the electron phase information to be lost…

Mesoscale and Nanoscale Physics · Physics 2018-04-26 Thomas Stegmann , Orsolya Ujsághy , Dietrich E. Wolf

We investigate the subtle effects of diffuse charge on interfacial kinetics by solving the governing equations for ion transport (Nernst-Planck) with realistic boundary conditions representing reaction kinetics (Butler-Volmer) and…

Soft Condensed Matter · Physics 2007-05-23 A. Bonnefont , F. Argoul , M. Z. Bazant

We have examined the electrical transport in disordered molecular solids. It has been found that mobility is a function of electric field and temperature due to hopping conduction. Several theoretical models for charge transport in…

Materials Science · Physics 2007-05-23 Ajit Kumar Mahapatro , Subhasis Ghosh

We consider a metallic wire coupled to two metallic electrodes via two junctions placed nearby. A bias voltage applied to one of such junctions alters the electron distribution function in the wire in the vicinity of another junction thus…

Strongly Correlated Electrons · Physics 2012-03-09 D. S. Golubev , A. D. Zaikin

Charge transport in disordered two-dimensional (2D) systems showcases a myriad of unique phenomenologies that highlight different aspects of the underlying quantum dynamics. Electrons in such systems undergo a crossover from ballistic…

Mesoscale and Nanoscale Physics · Physics 2025-11-18 H. P. Veiga , S. M. João , J. M. Alendouro Pinho , J. P. Santos Pires , J. M. Viana Parente Lopes

Nanoscale molecular-electronic devices and machines are emerging as promising functional elements, naturally flexible and efficient, for next generation technologies. A deeper understanding of carrier dynamics in molecular junctions is…

Mesoscale and Nanoscale Physics · Physics 2018-04-04 K. Beltako , F. Michelini , N. Cavassilas , L. Raymond