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Relation between directed polymers in random media and random bond dimer models | | Ying Jiang
; Thorsten Emig
; | | Date: |
30 Jun 2006 | | Subject: | Statistical Mechanics; Disordered Systems and Neural Networks | | Abstract: | We reassess the relation between classical lattice dimer models and the continuum elastic description of a lattice of fluctuating polymers. In the absence of randomness we determine the density and line tension of the polymers in terms of the bond weights of hard-core dimers on the square and the hexagonal lattice. For the latter, we demonstrate the equivalence of the canonical ensemble for the dimer model and the grand-canonical description for polymers by performing explicitly the continuum limit. Using this equivalence for the random bond dimer model on a square lattice, we resolve a previously observed discrepancy between numerical results for the random dimer model and a replica approach for polymers in random media. Further potential applications of the equivalence are briefly discussed. | | Source: | arXiv, cond-mat/0606796 | | Services: | Forum | Review | PDF | Favorites | |
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