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
SN - 1751-8113
VL - 50
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
IS - 13
M1 - 135002
ER -