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Marcus theory is fundamental to describing electron transfer reactions and quantifying their rates, effectively representing the energy surface associated with an electron transfer from the reactant to the product ionic state via parabolas…

Chemical Physics · Physics 2025-10-28 Zhenyu Wang , Mira Todorova , Christoph Freysoldt , Jörg Neugebauer

For defining the conductance of single molecule junctions with a redox functionality in an electrochemical cell, two conceptually different electron transport mechanisms, namely coherent tunnelling and vibrationally induced hopping compete…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Georg Kastlunger , Robert Stadler

Vibronic effects in resonant electron transport through single-molecule junctions are analyzed. The study is based on generic models for molecular junctions, which include electronic states on the molecular bridge that are vibrationally…

Mesoscale and Nanoscale Physics · Physics 2011-03-15 R. Härtle , M. Thoss

In this work we theoretically study properties of electric current driven by a temperature gradient through a quantum dot/molecule coupled to the source and drain charge reservoirs. We analyze the effect of Coulomb interactions between…

Mesoscale and Nanoscale Physics · Physics 2015-12-01 Natalya A. Zimbovskaya

We analyze the effects of electron-electron and electron-phonon interactions in the dynamics of a system of two or three electrons that can be trapped to a localized state and detrapped to ab extended band states of a quantum dot using a…

Mesoscale and Nanoscale Physics · Physics 2025-12-11 R. Carmina Monreal

In this article we review aspects of charge and heat transport in interacting quantum dots and molecular junctions under stationary and time-dependent non-equilibrium conditions due to finite electrical and thermal bias. In particular, we…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 F. Haupt , M. Leijnse , H. L. Calvo , L. Classen , J. Splettstoesser , M. R. Wegewijs

We present a theoretical investigation of thermal fluctuation statistics in a molecular motor. Energy transfer in the motor is described using a multidimensional discrete master equation with nearest-neighbor hopping. In this theory, energy…

Statistical Mechanics · Physics 2014-01-07 K. J. Challis , M. W. Jack

Atomic and single-molecule junctions represent the ultimate limit to the miniaturization of electrical circuits. They are also ideal platforms to test quantum transport theories that are required to describe charge and energy transfer in…

Mesoscale and Nanoscale Physics · Physics 2013-08-01 Woochul Lee , Kyeongtae Kim , Wonho Jeong , Linda Angela Zotti , Fabian Pauly , Juan Carlos Cuevas , Pramod Reddy

The role of energy exchange between a quantum system and its environment is investigated from the perspective of the Onsager conductance matrix. We consider the thermoelectric linear transport of an interacting quantum dot coupled to two…

Mesoscale and Nanoscale Physics · Physics 2017-06-07 Guillem Rosselló , Rosa López , Rafael Sánchez

We study the correlation between balance energy and transition energy of fragment in heavy-ion collisions for different systems at incident energies between 40 and 1200 MeV/nucleon using an isospin-dependent quantum molecular dynamics…

Nuclear Theory · Physics 2011-11-08 Rajni , Suneel Kumar , Rajeev K. Puri

The rate of electron transfer between a molecular species and a metal, each at a different local temperature, is examined theoretically through implementation of a bithermal (characterized by two temperatures) Marcus formalism. Expressions…

Mesoscale and Nanoscale Physics · Physics 2019-08-02 Galen T. Craven , Abraham Nitzan

While heating of a current carrying Ohmic conductors is an obvious consequence of the diffusive nature of the conduction in such systems, current induced cooling has been recently reported in some molecular conduction junctions. In this…

Mesoscale and Nanoscale Physics · Physics 2009-09-25 Michael Galperin , Keiji Saito , Alexander V. Balatsky , Abraham Nitzan

We study charge and energy transfer in two-site molecular electronic junctions in which electron transport is assisted by a vibrational mode. To understand the role of mode harmonicity/anharmonicity on transport behavior, we consider two…

Mesoscale and Nanoscale Physics · Physics 2015-09-01 Bijay Kumar Agarwalla , Jian-Hua Jiang , Dvira Segal

We examine electronic transport in a spin-blockaded double quantum dot. We show that by tuning the strength of the spin-orbit interaction the current flowing through the double dot exhibits a dip at zero magnetic field or a peak at a…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 G. Giavaras , Neill Lambert , Franco Nori

Electron transfer (ET) reactions underpin energy conversion and chemical transformations in both biological and abiological systems. The efficiency of any ET process relies on achieving a desired ET rate within an optimal driving force…

Employing the nonequilibrium Green's function method, we develop a fully quantum mechanical model to study the coupled electron-phonon transport in one-dimensional atomic junctions in the presence of a weak electron-phonon interaction. This…

Mesoscale and Nanoscale Physics · Physics 2008-03-04 J. T. Lü , Jian-Sheng Wang

We investigate the role of electronic-vibrational coupling in resonant electron transport through single-molecule junctions, taking into account that the corresponding coupling strengths may depend on the charge and excitation state of the…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Andre Erpenbeck , Rainer Härtle , Michel Bockstedte , Michael Thoss

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

Classical and quantum mechanics laws are rebuilt in the frame of new thermodynamics. Heat is the sum of kinetic energy, system work, and system potential of a system, while force is the heat gradients over distance. Hence, collision,…

General Physics · Physics 2024-11-14 Henmei Ni

The dynamical description of correlated nuclear motion is based on a set of coupled equations of motion for the one-body density matrix $\rho (11';t)$ and the two-body correlation function $c_2(12,1'2';t)$, which is obtained from the…

Nuclear Theory · Physics 2009-02-23 Hong-Gang Luo , W. Cassing , Shun-Jin Wang