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https://doi.org/10.1103/PhysRevE.75.051123
DC Field | Value | |
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dc.title | Asymptotics of the monomer-dimer model on two-dimensional semi-infinite lattices | |
dc.contributor.author | Kong, Y. | |
dc.date.accessioned | 2014-10-28T02:31:00Z | |
dc.date.available | 2014-10-28T02:31:00Z | |
dc.date.issued | 2007-05-30 | |
dc.identifier.citation | Kong, Y. (2007-05-30). Asymptotics of the monomer-dimer model on two-dimensional semi-infinite lattices. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 75 (5) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevE.75.051123 | |
dc.identifier.issn | 15393755 | |
dc.identifier.uri | http://scholarbank.nus.edu.sg/handle/10635/102902 | |
dc.description.abstract | By using the asymptotic theory of Pemantle and Wilson [R. Pemantle and M. C. Wilson, J. Comb. Theory, Ser. AJCBTA70097-316510.1006/jcta.2001.3201 97, 129 (2002)], asymptotic expansions of the free energy of the monomer-dimer model on two-dimensional semi-infinite ×n lattices in terms of dimer density are obtained for small values of n, at both high- and low-dimer-density limits. In the high-dimer-density limit, the theoretical results confirm the dependence of the free energy on the parity of n, a result obtained previously by computational methods by Y. Kong [Y. Kong, Phys. Rev. EPLEEE81063-651X10.1103/ PhysRevE.74.061102 74, 061102 (2006); Phys. Rev. EPLEEE81063-651X10.1103/ PhysRevE.73.016106 73, 016106 (2006);Phys. Rev. EPLEEE81063-651X10.1103/ PhysRevE.74.011102 74, 011102 (2006)]. In the low-dimer-density limit, the free energy on a cylinder ×n lattice strip has exactly the same first n terms in the series expansion as that of an infinite × lattice. © 2007 The American Physical Society. | |
dc.description.uri | http://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1103/PhysRevE.75.051123 | |
dc.source | Scopus | |
dc.type | Article | |
dc.contributor.department | MATHEMATICS | |
dc.description.doi | 10.1103/PhysRevE.75.051123 | |
dc.description.sourcetitle | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | |
dc.description.volume | 75 | |
dc.description.issue | 5 | |
dc.description.page | - | |
dc.description.coden | PLEEE | |
dc.identifier.isiut | 000246890100034 | |
Appears in Collections: | Staff Publications |
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