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PhysRevE.108.044142.pdf (2.12 MB)

Supercluster states and phase transitions in aggregation-fragmentation processes

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posted on 2023-11-02, 16:35 authored by Wendy Otieno, Nikolai V Brilliantov, PL Krapivsky

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 E

Volume

108

Issue

4

Publisher

American Physical Society (APS)

Version

  • VoR (Version of Record)

Rights holder

© The Authors

Publisher 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

2023-09-14

Publication date

2023-10-25

Copyright date

2023

ISSN

2470-0045

eISSN

2470-0053

Language

  • en

Depositor

Wendy Otieno. Deposit date: 30 October 2023

Article number

044142

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