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Modeling of dynamic processes in nuclear reactors is carried out, mainly, on the basis of the multigroup diffusion approximation for the neutron flux. The basic model includes a multidimensional set of coupled parabolic equations and…

Computational Engineering, Finance, and Science · Computer Science 2017-06-19 Alexander V. Avvakumov , Valery F. Strizhov , Petr N. Vabishchevich , Alexander O. Vasilev

Solvation free energy is an important quantity in Computational Chemistry with a variety of applications, especially in drug discovery and design. The accurate prediction of solvation free energies of small molecules in water is still a…

Biological Physics · Physics 2007-05-23 A. Hildebrandt , O. Kohlbacher , R. Blossey , H. -P. Lenhof

Electron transmission through molecules and molecular interfaces has been a subject of intensive research due to recent interest in electron transfer phenomena underlying the operation of the scanning tunneling microscope (STM) on one hand,…

Condensed Matter · Physics 2015-06-24 Abraham Nitzan

The study of electronic transitions within a molecule connected to the absorption or emission of light is a common task in the process of the design of new materials. The transitions are complex quantum mechanical processes and a detailed…

Human-Computer Interaction · Computer Science 2021-06-03 Talha Bin Masood , Signe Sidwall Thygesen , Mathieu Linares , Alexei I. Abrikosov , Vijay Natarajan , Ingrid Hotz

Charge transfer is a fundamental process that underlies a multitude of phenomena in chemistry and biology. Recent advances in observing and manipulating charge and heat transport at the nanoscale, and recently developed techniques for…

Mesoscale and Nanoscale Physics · Physics 2016-07-26 Galen T. Craven , Abraham Nitzan

We discuss the structure of the equation of motion that governs nucleation processes at first order phase transitions. From the underlying microscopic dynamics of a nucleating system, we derive by means of a non-equilibrium projection…

Statistical Mechanics · Physics 2019-12-04 Anja Kuhnhold , Hugues Meyer , Graziano Amati , Philipp Pelagejcev , Tanja Schilling

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…

The effect of solvation on the electron transfer (ET) rate processes is investigated on the basis of the exact theory constructed in J. Phys. Chem. B Vol. 110, (2006); quant-ph/0604071. The nature of solvation is studied in a close relation…

Chemical Physics · Physics 2007-05-23 Ping Han , Rui-Xue Xu , Ping Cui , Yan Mo , Guozhong He , YiJing Yan

Marcus theory famously predicts that electron-transfer rates decrease once the thermodynamic driving force exceeds the reorganization energy. Yet many systems instead exhibit Rehm-Weller kinetics, in which the rate saturates rather than…

Chemical Physics · Physics 2026-04-21 Ethan Abraham

Redox molecular junctions are molecular conduction junctions that involve more than one oxidation state of the molecular bridge. This property is derived from the ability of the molecule to transiently localize transmitting electrons,…

Mesoscale and Nanoscale Physics · Physics 2013-06-21 Agostino Migliore , Abraham Nitzan

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

We consider a molecular junction immersed in a solvent where the electron transfer is dominated by Marcus-type steps. However, the successive nature of the charge transfer through the junction does not imply that the solvent reach thermal…

Statistical Mechanics · Physics 2022-03-23 Henning Kirchberg , Abraham Nitzan

Electron transfer (ET) at molecule-metal or molecule-semiconductor interfaces is a fundamental reaction that underlies all electro-chemical and molecular electronic processes as well as substrate-mediated surface photochemistry. In this…

Chemical Physics · Physics 2023-06-21 Yu Wang , Wenjie Dou

By performing an ensemble of molecular dynamics simulations, the model-dependent ionisation state is computed for strongly interacting systems self-consistently. This is accomplished through a free energy minimisation framework based on the…

Experimental studies on single-molecule junctions are typically in need of a simple theoretical approach that can reproduce or be fitted to experimentally measured transport data. In this context, the single-level variant of the Landauer…

Chemical Physics · Physics 2021-02-10 Jakub K. Sowa , Rudolph A. Marcus

In this review, we detail the commonality of mathematical intuitions that underlie three numerical methods used for the quantitative description of electron swarms propagating in a gas under the effect of externally applied electric and/or…

Plasma Physics · Physics 2024-01-02 Luca Vialetto , Hirotake Sugawara , Savino Longo

By means of a fully kinetic simulation of freely decaying plasma turbulence, we study the spectral properties and the energy exchanges characterizing the turbulent cascade in the kinetic range. We find that the magnetic field spectrum…

Plasma Physics · Physics 2022-11-30 Giuseppe Arrò , Francesco Califano , Giovanni Lapenta

We propose an analytical model based on diffusion-reaction equation approach for electrochemical electron transfer reaction, where the rate is limited by the electron transfer process. The electron transfer from an ion in solution to the…

Other Condensed Matter · Physics 2015-05-29 Aniruddha Chakraborty

A nonperturbative electron transfer rate theory is developed based on the reduced density matrix dynamics, which can be evaluated readily for the Debye solvent model without further approximation. Not only does it recover for reaction rates…

Quantum Physics · Physics 2007-05-23 Ping Han , Rui-Xue Xu , Baiqing Li , Jian Xu , Ping Cui , Yan Mo , YiJing Yan

Chemical reactions can be described as the stepwise redistribution of electrons in molecules. As such, reactions are often depicted using `arrow-pushing' diagrams which show this movement as a sequence of arrows. We propose an electron path…