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Geometric Analysis of a System with Chemical Interactions
Dmitry Gromov1, Alexander Toikka2
1Faculty of Applied Mathematics and Control Processes, St. Petersburg State University, 199034 St. Petersburg, Russia.
Entropy (Basel, Switzerland)
|November 27, 2021
Summary
This study introduces a framework for analyzing thermodynamic systems under restricted intensive parameters. We explore constant affinity states in chemical reactions and their stability conditions.
Area of Science:
- Thermodynamics
- Chemical Systems Analysis
Background:
- Thermodynamic systems analysis typically involves unrestricted intensive parameters.
- Chemical reactions are fundamental to many thermodynamic processes.
Purpose of the Study:
- To define a framework for analyzing thermodynamic systems with restricted intensive parameters.
- To investigate constant affinity states in chemical reactions.
- To extend existing stability conditions to these restricted systems.
Main Methods:
- Developing a theoretical framework for thermodynamic analysis.
- Identifying and analyzing isoffine submanifolds representing constant affinity states.
- Applying and extending stability criteria.
Main Results:
- Initial results demonstrate the feasibility of analyzing thermodynamic systems with restricted parameters.
- Constant affinity states were identified as isoffine submanifolds in the thermodynamic phase space.
- The study addresses the extension of stability conditions to these specific states.
Conclusions:
- The proposed framework offers a novel approach to thermodynamic analysis under constraints.
- Understanding constant affinity states is crucial for detailed chemical reaction analysis.
- Further research is needed to fully establish stability conditions for these systems.
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