Please use this identifier to cite or link to this item:
https://doi.org/10.1103/PhysRevE.73.016106
DC Field | Value | |
---|---|---|
dc.title | Packing dimers on (2p+1) × (2q+1) lattices | |
dc.contributor.author | Kong, Y. | |
dc.date.accessioned | 2014-10-28T02:42:57Z | |
dc.date.available | 2014-10-28T02:42:57Z | |
dc.date.issued | 2006-01 | |
dc.identifier.citation | Kong, Y. (2006-01). Packing dimers on (2p+1) × (2q+1) lattices. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 73 (1) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevE.73.016106 | |
dc.identifier.issn | 15393755 | |
dc.identifier.uri | http://scholarbank.nus.edu.sg/handle/10635/103907 | |
dc.description.abstract | We use computational method to investigate the number of ways to pack dimers on m×n lattices, where both m and n are odd. In this case, there is always a single vacancy in the lattices. We show that the dimer configuration numbers on (2k+1) × (2k+1) odd square lattices have some remarkable number-theoretical properties in parallel to those of close-packed dimers on 2k×2k even square lattices, for which an exact solution exists. Furthermore, we demonstrate that there is an unambiguous logarithmic term in the finite size correction of free energy of odd-by-odd lattice strips with any width n≥1. This logarithmic term determines the distinct behavior of the free energy of odd square lattices. These findings reveal a deep and previously unexplored connection between statistical physics models and number theory and indicate the possibility that the monomer-dimer problem might be solvable. © 2006 The American Physical Society. | |
dc.description.uri | http://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1103/PhysRevE.73.016106 | |
dc.source | Scopus | |
dc.type | Article | |
dc.contributor.department | MATHEMATICS | |
dc.description.doi | 10.1103/PhysRevE.73.016106 | |
dc.description.sourcetitle | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | |
dc.description.volume | 73 | |
dc.description.issue | 1 | |
dc.description.page | - | |
dc.description.coden | PLEEE | |
dc.identifier.isiut | 000235008800015 | |
Appears in Collections: | Staff Publications |
Show simple item record
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.