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Mass action law
About: Mass action law is a research topic. Over the lifetime, 168 publications have been published within this topic receiving 2684 citations.
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TL;DR: In this paper , the authors examined the effect of adding an electrolyte to a saturated solution with a common ion enhances rather than depresses solubility, pointing to the importance of ion cluster formation.
03 Oct 2022
TL;DR: In this paper , the authors provided a brief introduction to the entangled mass action law theory and demonstrated how the entanglement equations can be derived in the framework of the standard quasi steady state approximation in combination with the quasiequilibrium generalized mass action laws for an auxiliary reaction network including reactants and intermediates.
Abstract: Recently, Gorban (2021) analysed some kinetic paradoxes of the transition state theory and proposed its revision that gave the ``entangled mass action law'', in which new reactions were generated as an addition to the reaction mechanism under consideration. These paradoxes arose due to the assumption of quasiequilibrium between reactants and transition states. In this paper, we provided a brief introduction to this theory, demonstrating how the entangled mass action law equations can be derived in the framework of the standard quasi steady state approximation in combination with the quasiequilibrium generalized mass action law for an auxiliary reaction network including reactants and intermediates. We also proved the basic physical property (positivity) for these new equations, which was not obvious in the original approach.
TL;DR: In this paper , the authors provided a brief introduction to the entangled mass action law and proved the basic physical property (positivity) for these new equations, which was not obvious in the original approach.
TL;DR: In this article, the carrier concentration is calculated for the transient associated with a deviation in carrier concentration from equilibrium consequent on injection, accumulation, exclusion, or extraction, and it is found that the duration of the transient is governed by the rC of the p-n or n-n+ junction when μEτ ≫ 1, with rC equal to the time of flight.
Abstract: The carrier concentration is calculated for the transient associated with a deviation in carrier concentration from equilibrium consequent on injection, accumulation, exclusion, or extraction. It is found that the duration of the transient is governed by the rC of the p-n or n-n+ junction when μEτ ≫ 1, with rC equal to the time of flight. The results are compared with experiment.
21 Feb 2023
TL;DR: In this paper , the dual master equation, which has the same steady state as the chemical master equation but with inverted reaction currents, still describes a chemical process, and the answer depends on the topological property of the underlying chemical reaction network known as deficiency.
Abstract: Stochastic chemical processes are described by the chemical master equation satisfying the law of mass-action. We first ask whether the dual master equation, which has the same steady state as the chemical master equation, but with inverted reaction currents, satisfies the law of mass-action, namely, still describes a chemical process. We prove that the answer depends on the topological property of the underlying chemical reaction network known as deficiency. The answer is yes only for deficiency-zero networks. It is no for all other networks, implying that their steady-state currents cannot be inverted by controlling the kinetic constants of the reactions. Hence, the network deficiency imposes a form of non-invertibility to the chemical dynamics. We then ask whether catalytic chemical networks are deficiency-zero. We prove that the answer is no when they are driven out of equilibrium due to the exchange of some species with the environment.