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A mathematical model for chemical reactions in electrolytes is developed using an Energy variational method consistent with classical thermodynamics. Electrostatics and chemical reactions are included in properly defined energetic and…

化学物理 · 物理学 2022-07-08 Shixin Xu , Robert Eisenberg , Zilong Song , Huaxiong Huang

We extend the energetic variational approach so it can be applied to a chemical reaction system with general mass action kinetics. Our approach starts with an energy-dissipation law. We show that the chemical equilibrium is determined by…

化学物理 · 物理学 2021-01-04 Yiwei Wang , Chun Liu , Pei Liu , Bob Eisenberg

Phase separation is the thermodynamic process that explains how droplets form in multicomponent fluids. These droplets can provide controlled compartments to localize chemical reactions, and reactions can also affect the droplets' dynamics.…

软凝聚态物质 · 物理学 2022-09-02 David Zwicker

Classical theories of chemical kinetics assume independent reactions in dilute solutions, whose rates are determined by mean concentrations. In condensed matter, strong interactions alter chemical activities and create inhomogeneities that…

材料科学 · 物理学 2013-04-17 Martin Z. Bazant

Dynamic properties of chemical reactions and appropriate relationships for open chemical equilibrium are discussed in approach of the chemical dynamics. New way to calculate composition of chemical systems in open equilibrium, based on the…

化学物理 · 物理学 2007-05-23 B. Zilbergleyt

Material balance equations describe the dynamics of the species in open reaction systems and contain information regarding reaction topology, kinetics and operation mode. For reaction systems, the state variables (the numbers of moles, or…

系统与控制 · 计算机科学 2015-11-23 Nirav Bhatt , Sriniketh Srinivasan

The temporal evolution of the levels in a three-level laser is macroscopically described by a closed set of rate equations. Here, we complement this picture by providing a model which describes through chemical reactions how the levels are…

光学 · 物理学 2021-04-13 Peter Muys

These lecture notes describe a basic theory of chemically active droplets, which are droplets kept away from equilibrium by driven chemical reactions. The notes assume a basic familiarity with equilibrium thermodynamics of phase separation,…

软凝聚态物质 · 物理学 2024-07-16 David Zwicker

Modeling microstructure evolution in electrochemical systems is vital for understanding the mechanism of various electrochemical processes. In this work, we propose a general phase field framework that is fully variational and thus…

材料科学 · 物理学 2023-12-12 Jin Zhang , Alexander F. Chadwick , Peter W. Voorhees

We investigate the thermodynamic implications of two control mechanisms of open chemical reaction networks. The first controls the concentrations of the species that are exchanged with the surroundings, while the other controls the exchange…

统计力学 · 物理学 2022-02-22 Francesco Avanzini , Massimiliano Esposito

Electrochemical devices often consist of multicomponent electrolyte solutions. Two processes influence the overall dynamics of these devices: the formation of electrical double layers and chemical conversion due to redox reactions. However,…

化学物理 · 物理学 2022-06-20 Nathan Jarvey , Filipe Henrique , Ankur Gupta

We examine theoretically a new idea for spatial and temporal control of chemical reactions. When chemical reactions take place in a mixture of solvents, an external electric field can alter the local mixture composition thereby accelerating…

软凝聚态物质 · 物理学 2017-01-19 Shivaraj D. Deshmukh , Yoav Tsori

The electrolyte (comprising of solute ions and solvents) flow-through the porous media is frequently encountered in nature or in many engineering applications, such as the electrochemical systems, manufacturing of composites, oil…

流体动力学 · 物理学 2013-09-12 Chengjun Xu , Chin-Tsau Hsu

We present a theory for rigorous quantum scattering calculations of probabilities for chemical reactions of atoms with diatomic molecules in the presence of an external electric field. The approach is based on the fully uncoupled basis set…

原子物理 · 物理学 2012-02-06 T. V. Tscherbul , R. V. Krems

We present two approaches for describing chemical reactions taking place in fluid phase. The first method mirrors the usual derivation of the hydrodynamic equations of motion by relating conserved---or to account for chemical reactions,…

高能物理 - 理论 · 物理学 2020-06-25 Michael J. Landry

Reaction-diffusion processes play an important role in a variety of physical, chemical, and biological systems. Conventionally, the kinetics of these processes are described by the law of mass action. However, there are various cases where…

化学物理 · 物理学 2026-05-06 Roman V. Li , Oleg A. Igoshin , Evgeny B. Krissinel , Pavel A. Frantsuzov

The use of mathematical methods for the analysis of chemical reaction systems has a very long history, and involves many types of models: deterministic versus stochastic, continuous versus discrete, and homogeneous versus spatially…

分子网络 · 定量生物学 2018-05-29 Polly Y. Yu , Gheorghe Craciun

Classical electrodynamics uses a dielectric constant to describe the polarization response of electromechanical systems to changes in an electric field. We generalize that description to include a wide variety of responses to changes in the…

统计力学 · 物理学 2021-09-10 Yiwei Wang , Chun Liu , Bob Eisenberg

The effects of electromagnetic fields (EMF) have been widely debated concerning their role in chemical reactions. Reactions usually took hours or days to complete, and have been shown to happen a thousand times faster using EMF radiations.…

化学物理 · 物理学 2022-11-30 Kelvin Dsouza , Daryoosh Vashaee

We present the first application of phase field modeling to electrochemistry. A free energy functional that includes the electrostatic effect of charged particles leads to rich interactions between concentration, electrostatic potential,…

材料科学 · 物理学 2007-05-23 J. E. Guyer , W. J. Boettinger , J. A. Warren , G. B. McFadden
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