Data and scripts from: Correlation lengths in quasi-one-dimensional systems via transfer matrices


Using transfer matrices up to next-nearest-neighbour (NNN) interactions, we examine the structural correlations of quasi-one-dimensional systems of hard disks confined by two parallel lines and hard spheres confined in cylinders. Simulations have shown that the non-monotonic and non-smooth growth of the correlation length in these systems accompanies structural crossovers (Fu et al., Soft Matter, 2017, 13, 3296). Here, we identify the theoretical basis for this behaviour. In particular, we associate kinks in the growth of correlation lengths with eigenvalue crossing and splitting. Understanding the origin of such structural crossovers answers questions raised by earlier studies, and thus bridges the gap between theory and simulations for these reference models.

Data Access

Duke Authors

Cited Authors

  • Hu, Y; Charbonneau, P; Fu, L

Published Date

  • May 29, 2018

Digital Object Identifier (DOI)

  • 10.7924/r4mk68m43