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Correlation lengths in quasi-one-dimensional systems via transfer matrices

dc.contributor.author Charbonneau, Patrick
dc.contributor.author Hu, Yi
dc.contributor.author Fu, Lin
dc.date.accessioned 2018-09-07T15:12:44Z
dc.date.available 2018-09-07T15:12:44Z
dc.date.issued 2018-06
dc.identifier.issn 0026-8976
dc.identifier.issn 1362-3028
dc.identifier.uri https://hdl.handle.net/10161/17393
dc.description.abstract © 2018 Informa UK Limited, trading as Taylor & Francis Group. Using transfer matrices up to next-nearest-neighbour 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 13, 3296 (2017)]. Here, we identify the theoretical basis for these behaviours. 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.
dc.relation.ispartof Molecular Physics
dc.relation.isversionof 10.1080/00268976.2018.1479543
dc.subject cond-mat.soft
dc.subject cond-mat.soft
dc.subject cond-mat.stat-mech
dc.title Correlation lengths in quasi-one-dimensional systems via transfer matrices
dc.type Journal article
dc.date.updated 2018-09-07T15:12:43Z
pubs.begin-page 1
pubs.end-page 10
pubs.organisational-group Trinity College of Arts & Sciences
pubs.organisational-group Duke
pubs.organisational-group Chemistry
pubs.organisational-group Physics
pubs.publication-status Published
duke.contributor.orcid Charbonneau, Patrick|0000-0001-7174-0821


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