Similarity of ensembles of trajectories of reversible and irreversible growth processes

Klymko, Katherine and Garrahan, Juan P. and Whitelam, Stephen (2017) Similarity of ensembles of trajectories of reversible and irreversible growth processes. Physical Review E, 96 (4). 042126/1-042126/7. ISSN 2470-0053

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Abstract

Models of bacterial growth tend to be “irreversible,” allowing for the number of bacteria in a colony to increase but not to decrease. By contrast, models of molecular self- assembly are usually “reversible,” allowing for the addition and removal of particles to a structure. Suc processes differ in a fundamental way because only reversible processes possess an equilibrium. Here we show at the mean-field level that dynamic trajectories of reversible and irreversible growth processes are similar in that both feel the influence of attractors, at which growth proceeds without limit but the intensive properties of the system are invariant. Attractors of both processes undergo nonequilibrium phase transitions as model parameters are varied, suggesting a unified way of describing typical properties of reversible and irreversible growth. We also establish a connection at the mean-field level between an irreversible model of growth (the magnetic Eden model) and the equilibrium Ising model, supporting the findings made by other authors using numerical simulations.

Item Type: Article
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Physics and Astronomy
Identification Number: 10.1103/PhysRevE.96.042126
Depositing User: Eprints, Support
Date Deposited: 06 Nov 2017 11:29
Last Modified: 06 Nov 2017 20:00
URI: http://eprints.nottingham.ac.uk/id/eprint/47898

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