Kinetics of Precipitation Processes at Non-Zero Input Fluxes of Segregating Particles
Abstract
:1. Introduction
2. Precipitation Kinetics at Non-Zero Input Fluxes of Segregating Particles: Numerical Computations
2.1. Some General Considerations
2.2. Basic Kinetic Equations
2.3. Results of the Numerical Solution of the Kinetic Equations
3. Theoretical Analysis
3.1. Number of Clusters in Dependence on the Rate of Input Fluxes of the Segregating Component
3.2. Coarsening in Closed Systems: Lifshitz-Slezov-Wagner−Approach
3.3. Coarsening at Constant Input Fluxes of the Segregating Component: Alternative Approach
3.3.1. Basic Ideas
3.3.2. Derivation of the Kinetic Equations Modeling Coarsening in a Closed System
3.3.3. Account of Additional Factors like Elastic Stresses on Coarsening
3.3.4. Application to Coarsening at Non-Zero Input Fluxes of Segregating Particles
3.3.5. Possible Further Applications of the Method: General Theoretical Approach to the Description of Coarsening in Open Systems and at Time-Dependent Boundary Conditions
4. Summary of Results and Discussion
Author Contributions
Funding
Institutional Review Board Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Schmelzer, J.W.P.; Tropin, T.V.; Abyzov, A.S. Kinetics of Precipitation Processes at Non-Zero Input Fluxes of Segregating Particles. Entropy 2023, 25, 329. https://doi.org/10.3390/e25020329
Schmelzer JWP, Tropin TV, Abyzov AS. Kinetics of Precipitation Processes at Non-Zero Input Fluxes of Segregating Particles. Entropy. 2023; 25(2):329. https://doi.org/10.3390/e25020329
Chicago/Turabian StyleSchmelzer, Jürn W. P., Timur V. Tropin, and Alexander S. Abyzov. 2023. "Kinetics of Precipitation Processes at Non-Zero Input Fluxes of Segregating Particles" Entropy 25, no. 2: 329. https://doi.org/10.3390/e25020329