Emergence of particle clusters in a one-dimensional model

connection to condensation processes

Matthew Burman, Daniel Carpenter, Robert L Jack

Research output: Contribution to journalArticle

65 Downloads (Pure)

Abstract

We discuss a simple model of particles hopping in one dimension with attractive interactions. Taking a hydrodynamic limit in which the interaction strength increases with the system size, we observe the formation of multiple clusters of particles, with large gaps between them. These clusters are correlated in space, and the system has a self-similar (fractal) structure. These results are related to condensation phenomena in mass transport models and to a recent mathematical analysis of the hydrodynamic limit in a related model.
Original languageEnglish
Article number135002
Number of pages17
JournalJournal of Physics A: Mathematical and Theoretical
Volume50
Issue number13
Early online date3 Mar 2017
DOIs
Publication statusPublished - 31 Mar 2017

Fingerprint

One-dimensional Model
Condensation
Hydrodynamic Limit
condensation
Hydrodynamics
hydrodynamics
Fractal Structure
applications of mathematics
Mass Transport
Mathematical Analysis
Interaction
Fractals
One Dimension
fractals
Mass transfer
interactions
Model

Cite this

Emergence of particle clusters in a one-dimensional model : connection to condensation processes. / Burman, Matthew; Carpenter, Daniel; Jack, Robert L.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 50, No. 13, 135002, 31.03.2017.

Research output: Contribution to journalArticle

@article{25c88c495d88460e8da46f55aef1b536,
title = "Emergence of particle clusters in a one-dimensional model: connection to condensation processes",
abstract = "We discuss a simple model of particles hopping in one dimension with attractive interactions. Taking a hydrodynamic limit in which the interaction strength increases with the system size, we observe the formation of multiple clusters of particles, with large gaps between them. These clusters are correlated in space, and the system has a self-similar (fractal) structure. These results are related to condensation phenomena in mass transport models and to a recent mathematical analysis of the hydrodynamic limit in a related model.",
author = "Matthew Burman and Daniel Carpenter and Jack, {Robert L}",
year = "2017",
month = "3",
day = "31",
doi = "10.1088/1751-8121/aa601b",
language = "English",
volume = "50",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing",
number = "13",

}

TY - JOUR

T1 - Emergence of particle clusters in a one-dimensional model

T2 - connection to condensation processes

AU - Burman, Matthew

AU - Carpenter, Daniel

AU - Jack, Robert L

PY - 2017/3/31

Y1 - 2017/3/31

N2 - We discuss a simple model of particles hopping in one dimension with attractive interactions. Taking a hydrodynamic limit in which the interaction strength increases with the system size, we observe the formation of multiple clusters of particles, with large gaps between them. These clusters are correlated in space, and the system has a self-similar (fractal) structure. These results are related to condensation phenomena in mass transport models and to a recent mathematical analysis of the hydrodynamic limit in a related model.

AB - We discuss a simple model of particles hopping in one dimension with attractive interactions. Taking a hydrodynamic limit in which the interaction strength increases with the system size, we observe the formation of multiple clusters of particles, with large gaps between them. These clusters are correlated in space, and the system has a self-similar (fractal) structure. These results are related to condensation phenomena in mass transport models and to a recent mathematical analysis of the hydrodynamic limit in a related model.

UR - https://doi.org/10.1088/1751-8121/aa601b

U2 - 10.1088/1751-8121/aa601b

DO - 10.1088/1751-8121/aa601b

M3 - Article

VL - 50

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 13

M1 - 135002

ER -