Supercluster states and phase transitions in aggregation-fragmentation processes
We study the evolution of aggregates triggered by collisions with monomers that either lead to the attachment of monomers or the break-up of aggregates into constituting monomers. Depending on parameters quantifying addition and break-up rates, the system falls into a jammed or a steady state. Supercluster states (SCSs) are very peculiar nonextensive jammed states that also arise in some models. Fluctuations underlie the formation of the SCSs. Conventional tools, such as the van Kampen expansion, apply to small fluctuations. We go beyond the van Kampen expansion and determine a set of critical exponents quantifying SCSs. We observe continuous and discontinuous phase transitions between the states. Our theoretical predictions are in good agreement with numerical results.
Funding
RSF Grant No. 21- 11-00363
History
School
- Science
Department
- Physics
Published in
Physical Review EVolume
108Issue
4Publisher
American Physical Society (APS)Version
- VoR (Version of Record)
Rights holder
© The AuthorsPublisher statement
This is an Open Access article. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license (https://creativecommons.org/licenses/by/4.0/). Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.Acceptance date
2023-09-14Publication date
2023-10-25Copyright date
2023ISSN
2470-0045eISSN
2470-0053Publisher version
Language
- en