Connection of critical phenomena for Langmuir-Hinshelwood mechanism with the type of adsorbed overlayer phase diagram: square lattice, additive gas mixtures

Authors

  • Галина Дмитриевна Анисимова Omsk State Technical University, Omsk, Russia
  • Александр Владимирович Мышлявцев Omsk State Technical University, Omsk, Russia
  • Марта Доржукаевна Мышлявцева Omsk State Technical University, Omsk, Russia

DOI:

https://doi.org/10.25206/1813-8225-2018-162-240-243

Keywords:

mathematic modeling of adsorption and reaction, lattice gas model, Langmuir-Hinshelwood mechanism, critical phenomena

Abstract

The lateral interaction influence on the steady-state multiplicity domain for Langmuir-Hinshelwood mechanism on the square
lattice for some sets of interaction energies has been studied. The set of lateral interactions has been chosen in such way as to completely cover previously unexplored parameter areas. The aim of the work is to complete the study of the constructed model for additive mixtures. In contrast to previous works, the splitting of the parameter space into domains with different phase diagrams of the ground state is taken into account explicitly. In order to simplify the analysis, the case of irreversible adsorption for the both species is considered. It is shown that when the system under consideration has two internal steady-states one can nevertheless have different phase diagrams.

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Author Biographies

Галина Дмитриевна Анисимова, Omsk State Technical University, Omsk, Russia

аспирантка кафедры «Высшая математика».

Александр Владимирович Мышлявцев, Omsk State Technical University, Omsk, Russia

доктор химических наук, профессор (Россия), проректор по учебной работе.

Марта Доржукаевна Мышлявцева, Omsk State Technical University, Omsk, Russia

доктор физико-математических наук, доцент (Россия), заведующая кафедрой «Высшая математика».

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Published

2019-01-18

How to Cite

[1]
Анисимова, Г.Д., Мышлявцев, А.В. and Мышлявцева, М.Д. 2019. Connection of critical phenomena for Langmuir-Hinshelwood mechanism with the type of adsorbed overlayer phase diagram: square lattice, additive gas mixtures. Omsk Scientific Bulletin. 6(162) (Jan. 2019), 240–243. DOI:https://doi.org/10.25206/1813-8225-2018-162-240-243.

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Information technology

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