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.
|Number of pages||17|
|Journal||Journal of Physics A: Mathematical and Theoretical|
|Early online date||3 Mar 2017|
|Publication status||Published - 31 Mar 2017|