Condensation and Intermittency in an Open Boundary Aggregation-Fragmentation Model
arXiv:1303.5945 · doi:10.1103/PhysRevLett.110.150601
Abstract
We study real space condensation in aggregation-fragmentation models where the total mass is not conserved, as in phenomena like cloud formation and intracellular trafficking. We study the scaling properties of the system with influx and outflux of mass at the boundaries using numerical simulations, supplemented by analytical results in the absence of fragmentation. The system is found to undergo a phase transition to an unusual condensate phase, characterized by strong intermittency and giant fluctuations of the total mass. A related phase transition also occurs for biased movement of large masses, but with some crucial differences which we highlight.
arXiv commentpaper (5 pages, 4 figures) and supplemental material (5 pages, 6 figures)
References in corpus (18)
- Long-lived Giant Number Fluctuations in a Swarming Granular Nematic
- Nonequilibrium Statistical Mechanics of the Zero-Range Process and Related Models
- Exact first-passage exponents of 1D domain growth: relation to a reaction diffusion model
- Nonequilibrium Phase Transitions in Models of Aggregation, Adsorption, and Dissociation
- Zero-range process with open boundaries
- Active nematics are intrinsically phase-separated
- Borderline Aggregation Kinetics in ``Dry'' and ``Wet'' Environments
- Nonequilibrium Phase Transition in a Model of Diffusion, Aggregation and Fragmentation
- Spatial Structures and Giant Number Fluctuations in Models of Active Matter
- Exact Phase Diagram of a model with Aggregation and Chipping
- Particles Sliding on a Fluctuating Surface: Phase Separation and Power Laws
- Effect of spatial bias on the nonequilibrium phase transition in a system of coagulating and fragmenting particles
- Cluster-Cluster Aggregation as an Analogue of a Turbulent Cascade : Kolmogorov Phenomenology, Scaling Laws and the Breakdown of self-similarity
- Passive Sliders on Fluctuating Surfaces: Strong-Clustering States
- Strong clustering of non-interacting, passive sliders driven by a Kardar-Parisi-Zhang surface
- Breakdown of Kolmogorov scaling in models of cluster aggregation with deposition
- Phases of a conserved mass model of aggregation with fragmentation at fixed sites
- A multi-species model with interconversion, chipping and injection
Cited by in corpus (8)
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- Analytical Study of Giant Fluctuations and Temporal Intermittency in an Aggregation Model
- Transport and fluctuations in mass aggregation processes: mobility driven clustering
- Time evolution of intermittency in the passive slider problem
- Modeling the Transition between Localized and Extended Deposition in Flow Networks through Packings of Glass Beads
- Coarsening, condensates and extremes in aggregation-fragmentation models