Logarithmic corrections in the free energy of monomer-dimer model on plane lattices with free boundaries
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arXiv
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| Formato: | Preprint |
| Publicado: |
2006
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| _version_ | 1866929333986131968 |
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| author | Kong, Yong |
| author_facet | Kong, Yong |
| contents | Using exact computations we study the classical hard-core monomer-dimer models on m x n plane lattice strips with free boundaries. For an arbitrary number v of monomers (or vacancies), we found a logarithmic correction term in the finite-size correction of the free energy. The coefficient of the logarithmic correction term depends on the number of monomers present (v) and the parity of the width n of the lattice strip: the coefficient equals to v when n is odd, and v/2 when n is even. The results are generalizations of the previous results for a single monomer in an otherwise fully packed lattice of dimers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_cond_mat_0601568 |
| institution | arXiv |
| publishDate | 2006 |
| record_format | arxiv |
| spellingShingle | Logarithmic corrections in the free energy of monomer-dimer model on plane lattices with free boundaries Kong, Yong Statistical Mechanics Using exact computations we study the classical hard-core monomer-dimer models on m x n plane lattice strips with free boundaries. For an arbitrary number v of monomers (or vacancies), we found a logarithmic correction term in the finite-size correction of the free energy. The coefficient of the logarithmic correction term depends on the number of monomers present (v) and the parity of the width n of the lattice strip: the coefficient equals to v when n is odd, and v/2 when n is even. The results are generalizations of the previous results for a single monomer in an otherwise fully packed lattice of dimers. |
| title | Logarithmic corrections in the free energy of monomer-dimer model on plane lattices with free boundaries |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/cond-mat/0601568 |