Mass-Transport Models with Fragmentation and Aggregation
arXiv:1011.3106 · doi:10.1080/01411590903553460
Abstract
We present a review of nonequilibrium phase transitions in mass-transport models with kinetic processes like fragmentation, diffusion, aggregation, etc. These models have been used extensively to study a wide range of physical problems. We provide a detailed discussion of the analytical and numerical techniques used to study mass-transport phenomena.
29 pages, 4 figures
References in corpus (13)
- Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
- A Model for Force Fluctuations in Bead Packs
- Phase Transitions in one-dimensional nonequilibrium systems
- Jamming transition in a homogeneous one-dimensional system: the Bus Route Model
- Factorised Steady States in Mass Transport Models
- Borderline Aggregation Kinetics in ``Dry'' and ``Wet'' Environments
- Nonequilibrium Phase Transition in a Model of Diffusion, Aggregation and Fragmentation
- Asymmetric particle systems on R
- Conservation Laws and Integrability of a One-dimensional Model of Diffusing Dimers
- Influence of Island Diffusion on Submonolayer Epitaxial Growth
- Aggregate formation in a system of coagulating and fragmenting particles with mass-dependent diffusion rates
- Observation of a Universal Aggregation Mechanism and a Possible Phase Transition in Au Sputtered by Swift Heavy Ions
- Condensation transition in zero-range processes with diffusion