Exotic dynamics of bimolecular reaction–diffusion fronts in immiscible systems

Sotos C. Generalis; A. De Wit; Philip M. J. Trevelyan

doi:10.1016/j.aml.2023.108821

Exotic dynamics of bimolecular reaction–diffusion fronts in immiscible systems

Sotos C. Generalis
, A. De Wit
, Philip M. J. Trevelyan^*

^*Corresponding author for this work

A. De Wit
Université libre de Bruxelles

Research output: Contribution to journal › Article › peer-review

1 Citation (SciVal)

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Abstract

Dynamics of bimolecular ABC reaction–diffusion (RD) fronts have been well characterised in miscible systems. We study here their properties when reactants A and B are initially dissolved in two immiscible solvents put in contact. Neglecting any convective effects, we show that bimolecular RD fronts developing in such immiscible systems upon transfer from the reactants from one phase to the other can change directions up to four times, contrary to miscible systems where only two changes of direction are possible. Further, the conditions for which two local maxima in the reaction rate can exist are identified.

Original language	English
Article number	108821
Number of pages	8
Journal	Applied Mathematics Letters
Volume	146
Early online date	9 Aug 2023
DOIs	https://doi.org/10.1016/j.aml.2023.108821
Publication status	Published - Dec 2023

Bibliographical note

© 2023 The Authors. Published by Elsevier Ltd. This is an open access article under the
CC BY license (http://creativecommons.org/licenses/by/4.0/).

Keywords

Chemical front, Reaction–diffusion Interface, Small time asymptotics, Mass transfer

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10.1016/j.aml.2023.108821Licence: CC BY 4.0

Exotic dynamics of bimolecular reaction
© 2023 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
Final published version, 965 KBLicence: CC BY 4.0

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title = "Exotic dynamics of bimolecular reaction–diffusion fronts in immiscible systems",

abstract = "Dynamics of bimolecular ABC reaction–diffusion (RD) fronts have been well characterised in miscible systems. We study here their properties when reactants A and B are initially dissolved in two immiscible solvents put in contact. Neglecting any convective effects, we show that bimolecular RD fronts developing in such immiscible systems upon transfer from the reactants from one phase to the other can change directions up to four times, contrary to miscible systems where only two changes of direction are possible. Further, the conditions for which two local maxima in the reaction rate can exist are identified.",

keywords = "Chemical front, Reaction–diffusion Interface, Small time asymptotics, Mass transfer",

author = "Generalis, \{Sotos C.\} and Wit, \{A. De\} and Trevelyan, \{Philip M. J.\}",

note = "{\textcopyright} 2023 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).",

year = "2023",

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doi = "10.1016/j.aml.2023.108821",

language = "English",

volume = "146",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

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TY - JOUR

T1 - Exotic dynamics of bimolecular reaction–diffusion fronts in immiscible systems

AU - Generalis, Sotos C.

AU - Wit, A. De

AU - Trevelyan, Philip M. J.

PY - 2023/12

Y1 - 2023/12

N2 - Dynamics of bimolecular ABC reaction–diffusion (RD) fronts have been well characterised in miscible systems. We study here their properties when reactants A and B are initially dissolved in two immiscible solvents put in contact. Neglecting any convective effects, we show that bimolecular RD fronts developing in such immiscible systems upon transfer from the reactants from one phase to the other can change directions up to four times, contrary to miscible systems where only two changes of direction are possible. Further, the conditions for which two local maxima in the reaction rate can exist are identified.

AB - Dynamics of bimolecular ABC reaction–diffusion (RD) fronts have been well characterised in miscible systems. We study here their properties when reactants A and B are initially dissolved in two immiscible solvents put in contact. Neglecting any convective effects, we show that bimolecular RD fronts developing in such immiscible systems upon transfer from the reactants from one phase to the other can change directions up to four times, contrary to miscible systems where only two changes of direction are possible. Further, the conditions for which two local maxima in the reaction rate can exist are identified.

KW - Chemical front, Reaction–diffusion Interface, Small time asymptotics, Mass transfer

UR - https://www.sciencedirect.com/science/article/pii/S0893965923002537

UR - https://www.scopus.com/pages/publications/85168104819

U2 - 10.1016/j.aml.2023.108821

DO - 10.1016/j.aml.2023.108821

M3 - Article

SN - 0893-9659

VL - 146

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

M1 - 108821

ER -

Exotic dynamics of bimolecular reaction–diffusion fronts in immiscible systems

Abstract

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Keywords

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