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Chemical theories involving thermodynamical equilibrium states invariably utilize statistical mechanical equilibrium density distributions. Here, a definition of heat-work transformation termed thermo mechanical coherence is first made, and…

Chemical Physics · Physics 2007-05-23 Christopher G. Jesudason

For some centuries, first order chemical rate constants were determined mainly by a linear logarithmic plot of reagent concentration terms against time where the initial concentration was required, which is experimentally often a…

Chemical Physics · Physics 2009-12-09 Christopher G. Jesudason

Chemical equilibrium is fully characterized by thermodynamics, while the rates of chemical reactions can be calculated for ideal solutions by using mass-action equations. The evaluation of the rates of reactions in a non-ideal system is…

Chemical Physics · Physics 2025-01-20 Doriano Brogioli , Fabio La Mantia

This work inspects the thermally activated transfer of solute particles across the interface between two interstitial solid solution phases that equilibrate internally by fast diffusion on conserved arrays of sites. When each phase is…

Materials Science · Physics 2026-01-30 Jörg Weissmüller

The efficiency of water electrolysis in a photoelectrochemical cell is largely limited by the oxygen evolution reaction (OER) at its semiconductor photoanode. Reaction rate constants are key to investigating the slow kinetics of the…

A non-equilibrium steady state is characterized by a non-zero steady dissipation rate. Chemical reaction systems under suitable conditions may generate such states. We propose here a method that is able to distinguish states with identical…

Chemical Physics · Physics 2019-11-14 Kinshuk Banerjee , Kamal Bhattacharyya

More than a century has passed since van't Hoff and Arrhenius formulated their celebrated rate theories, but there are still elusive aspects in the temperature-dependent phase transition kinetics of molecular systems. Here I present a…

Chemical Physics · Physics 2022-07-13 L. G. Rizzi

Nonequilibrium steady state of isothermal biochemical cycle kinetics has been extensively studied, but much less investigated under non-isothermal conditions. However, once the heat exchange between subsystems is rather slow, the isothermal…

Chemical Physics · Physics 2016-10-11 Xiao Jin , Hao Ge

The primary emphasis of this work on kinetics is to illustrate the a posteriori approach to applications, where focus on data leads to novel outcomes, rather than the a priori tendencies of applied analysis which imposes constructs on the…

General Physics · Physics 2011-01-27 Christopher G. Jesudason

The power-law TST reaction rate coefficient for an elementary bimolecular reaction is studied when the reaction takes place in a nonequilibrium system with power-law distributions. We derive a generalized TST rate coefficient, which not…

Chemical Physics · Physics 2015-08-10 Cangtao Yin , Jiulin Du

A general semiclassical theory for the calculation of reaction rate constants is developed. The theory can be understood as a formal framework that encompasses existing semiclassical methods: instanton theory and semiclassical transition…

Chemical Physics · Physics 2025-10-09 Joseph E. Lawrence

Recent experiments indicate that electromagnetic hysteresis behavior can be exhibited at the molecular level.A MD simulation using 2-body potentials and switches to form and break bonds is implemented to determine whether chemical reaction…

Computational Physics · Physics 2007-05-23 Christopher G. Jesudason

The entropy production rate is a key quantity in irreversible thermodynamics. In this work, we concentrate on the realization of entropy production rate in chemical reaction systems in terms of the experimentally measurable reaction rate.…

Chemical Physics · Physics 2019-11-14 Kinshuk Banerjee , Kamal Bhattacharyya

All current formulations of nonequilibrium thermodynamics of open chemical reaction networks rely on the assumption of non-interacting species. We develop a general theory which accounts for interactions between chemical species within a…

Statistical Mechanics · Physics 2021-03-09 Francesco Avanzini , Emanuele Penocchio , Gianmaria Falasco , Massimiliano Esposito

Heterogenous reactions typically consist of multiple elementary steps and their rate coefficients are of fundamental importance in elucidating the mechanisms and micro-kinetics of these processes. Transition-state theory (TST) for…

Chemical Physics · Physics 2025-03-04 Chen Li , Xiongzhi Zeng , Yongle Li , Zhenyu Li , Hua Guo , Bin Jiang

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…

Materials Science · Physics 2013-04-17 Martin Z. Bazant

The concept of entropy has been pivotal in the formulation of thermodynamics. For systems driven away from thermal equilibrium, a comparable role is played by entropy production and dissipation. Here we provide a comprehensive picture how…

Soft Condensed Matter · Physics 2025-05-15 Robin Bebon , Joshua F. Robinson , Thomas Speck

A microscopic model for thermal excitation of vibrational ground state of a molecule interacting with a condensed medium is developed. The master equation for evolution of occupancies of the vibrational levels is derived. The rate constant…

Statistical Mechanics · Physics 2011-03-04 V. I. Teslenko , D. Y. Iatsenko

We study diffusion-controlled processes in nonequilibrium steady states, where standard rate theory assumptions break down. Using transition path theory, we generalize the relations between reactive probability fluxes and measures of the…

Chemical Physics · Physics 2025-06-02 Seokjin Moon , David T. Limmer

Equilibrium rate theories play a crucial role in understanding rare, reactive events. However, they are inapplicable to a range of irreversible processes in systems driven far from thermodynamic equilibrium like active and biological…

Statistical Mechanics · Physics 2025-10-21 Eric R. Heller , David T. Limmer
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