Stability condition of the steady oscillations in aggregation models with shattering process and self-fragmentation

DOI10.1088/1751-8121/ACF3B9arXiv2304.14661MaRDI QIDQ6096895

Moo Young Choi, Jean-Yves Fortin

Publication date: 15 September 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.14661

zbMATH Keywords

statistical physicsnon-linear dynamicscluster dynamicsaggregation-fragmentation process

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Cites Work

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• An introduction to mathematical models of coagulation--fragmentation processes: a discrete deterministic mean-field approach
• Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics
• Kinetic regimes in aggregating systems with spontaneous and collisional fragmentation
• Oscillating stationary distributions of nanoclusters in an open system
• Oscillations in a Becker--Döring Model with Injection and Depletion
• Temporal oscillations in Becker–Döring equations with atomization
• New algebraically solvable systems of two autonomous first-order ordinary differential equations with purely quadratic right-hand sides
• Origin of the spontaneous oscillations in a simplified coagulation-fragmentation system driven by a source

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