Quantum field theory approach for multistage chemical kinetics in liquids

Fuente: arXiv
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Main Authors: Li, Roman V., Igoshin, Oleg A., Krissinel, Evgeny B., Frantsuzov, Pavel A.
Format: Preprint
Published: 2026
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_version_ 1866918481985798144
author Li, Roman V.
Igoshin, Oleg A.
Krissinel, Evgeny B.
Frantsuzov, Pavel A.
author_facet Li, Roman V.
Igoshin, Oleg A.
Krissinel, Evgeny B.
Frantsuzov, Pavel A.
contents 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 these equations are insufficient. A fundamental challenge lies in accurately accounting for the microscopic correlations that inevitably arise in bimolecular reactions. While approaches to describe microscopic correlations in many specific cases exist, no general theory for multistage reactions has been established. In this article, we apply the quantum field theory approach to derive kinetic equations for general multistage reactive systems termed CMET (complete modified encounter theory). CMET can be formulated as a set of coupled partial differential equations that can be easily integrated numerically, thereby serving as a versatile tool for investigating reaction-diffusion processes. Across multiple case studies, we demonstrated that CMET reproduces the kinetics predicted by many other theories within their respective scopes of applicability.
format Preprint
id arxiv_https___arxiv_org_abs_2601_17328
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Quantum field theory approach for multistage chemical kinetics in liquids
Li, Roman V.
Igoshin, Oleg A.
Krissinel, Evgeny B.
Frantsuzov, Pavel A.
Chemical Physics
Other Condensed Matter
Statistical Mechanics
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 these equations are insufficient. A fundamental challenge lies in accurately accounting for the microscopic correlations that inevitably arise in bimolecular reactions. While approaches to describe microscopic correlations in many specific cases exist, no general theory for multistage reactions has been established. In this article, we apply the quantum field theory approach to derive kinetic equations for general multistage reactive systems termed CMET (complete modified encounter theory). CMET can be formulated as a set of coupled partial differential equations that can be easily integrated numerically, thereby serving as a versatile tool for investigating reaction-diffusion processes. Across multiple case studies, we demonstrated that CMET reproduces the kinetics predicted by many other theories within their respective scopes of applicability.
title Quantum field theory approach for multistage chemical kinetics in liquids
topic Chemical Physics
Other Condensed Matter
Statistical Mechanics
url https://arxiv.org/abs/2601.17328