%0 Book Section %1 statphys23_0454 %A Abraham, D.B. %A Essler, F.H.L. %A Maciolek, A.M. %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 exact fluctuation fluctuations forces induced interfacial lattice models results statphys23 topic-6 %T Effective forces induced by fluctuating interface:exact results. %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=454 %X We present exact derivations of the effective capillary wave fluctuation induced forces resulting from pinning of an interface between two coexisting phases at two points separated by a distance r. In two dimensions the Ising ferromagnet calculations based on the transfer matrix approach give an attractive force decaying as 1/r for large distances. In three dimensions mapping of the body-centered solid-on-solid model onto the 6-vertex model allows for exact solution using the bosonization analysis of the equivalent XXZ Heisenberg quantum chain. The exact result gives the attractive force which decays asymptotically as 1/(r log r).

@incollection{statphys23_0454, abstract = {We present exact derivations of the effective capillary wave fluctuation induced forces resulting from pinning of an interface between two coexisting phases at two points separated by a distance r. In two dimensions the Ising ferromagnet calculations based on the transfer matrix approach give an attractive force decaying as 1/r for large distances. In three dimensions mapping of the body-centered solid-on-solid model onto the 6-vertex model allows for exact solution using the bosonization analysis of the equivalent XXZ Heisenberg quantum chain. The exact result gives the attractive force which decays asymptotically as 1/(r log r).}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Abraham, D.B. and Essler, F.H.L. and Maciolek, A.M.}, biburl = {https://www.bibsonomy.org/bibtex/2ede3e43a176fec3bec24ab7672dab976/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {d4dbff7c630272b7177b83b20292232c}, intrahash = {ede3e43a176fec3bec24ab7672dab976}, keywords = {exact fluctuation fluctuations forces induced interfacial lattice models results statphys23 topic-6}, month = {9-13 July}, timestamp = {2007-06-20T10:16:20.000+0200}, title = {Effective forces induced by fluctuating interface:exact results.}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=454}, year = 2007 }