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Finite-size effects in addition and chipping processes.
R R Dyachenko1,2, S A Matveev1,2, P L Krapivsky3,4
1Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, 119991, Russia.
Physical Review. E
|November 18, 2023
Summary
This study explores cluster evolution through monomer collisions. Depending on whether monomers attach or chip away, systems jam, reach a quasistationary state, or form a unique non-extensive jammed state.
Area of Science:
- Physics
- Materials Science
- Statistical Mechanics
Background:
- Investigates cluster dynamics and phase transitions.
- Focuses on systems with monomer-cluster collisions.
Purpose of the Study:
- Analyze cluster evolution under competing addition and chipping processes.
- Characterize system behavior and final states based on process probabilities.
Main Methods:
- Analytical investigation of cluster systems.
- Numerical simulations of evolving clusters.
Main Results:
- Addition-dominant: Monomers disappear logarithmically with mass (N), leading to a jammed state.
- Chipping-dominant: System exhibits exponential scaling in time before a giant fluctuation causes monomer disappearance.
- Marginal case: Monomers disappear linearly with N, forming a non-extensive jammed supercluster.
Conclusions:
- The balance between monomer addition and chipping dictates system evolution and final state.
- Identifies distinct dynamical regimes and unique jammed states in cluster aggregation systems.
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