%0 Book Section %1 statphys23_0513 %A Jiang, Y. %A Emig, T. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K dimer disorder frustrated geometrically models polymers quenched random-bond spin statphys23 system topic-9 %T Relation between directed polymers and dimer models, and its applications in spin systems %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=513 %X The relation between classical lattice dimer models and the continuum elastic description of a lattice of fluctuating polymers is investigated. 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 honeycomb lattice. For the latter, we demonstrate the equivalence of the set of complete dimer coverings and the grand-canonical description of polymers by performing explicitly the continuum limit. By use of this equivalence for the random-bond dimer model on a square lattice, a previously observed discrepancy between numerical results for the random dimer model and a replica approach for polymers in random media is resolved. Further potential applications in geometrically frustrated Ising antiferromagnets are briefly discussed.

@incollection{statphys23_0513, abstract = {The relation between classical lattice dimer models and the continuum elastic description of a lattice of fluctuating polymers is investigated. 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 honeycomb lattice. For the latter, we demonstrate the equivalence of the set of complete dimer coverings and the grand-canonical description of polymers by performing explicitly the continuum limit. By use of this equivalence for the random-bond dimer model on a square lattice, a previously observed discrepancy between numerical results for the random dimer model and a replica approach for polymers in random media is resolved. Further potential applications in geometrically frustrated Ising antiferromagnets are briefly discussed.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Jiang, Y. and Emig, T.}, biburl = {https://www.bibsonomy.org/bibtex/29cbd17b4a241da4f633d9fc5d2496a1b/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {ff34f4516a22b54d3493934dc5a33ea5}, intrahash = {9cbd17b4a241da4f633d9fc5d2496a1b}, keywords = {dimer disorder frustrated geometrically models polymers quenched random-bond spin statphys23 system topic-9}, month = {9-13 July}, timestamp = {2007-06-20T10:16:22.000+0200}, title = {Relation between directed polymers and dimer models, and its applications in spin systems}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=513}, year = 2007 }