Effective forces induced by fluctuating interface: exact results
统计力学
2007-05-23 v1 软凝聚态物质
摘要
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).
引用
@article{arxiv.cond-mat/0703815,
title = {Effective forces induced by fluctuating interface: exact results},
author = {D. B. Abraham and F. H. L. Essler and A. Maciolek and ;},
journal= {arXiv preprint arXiv:cond-mat/0703815},
year = {2007}
}
备注
4 pages, 2 figures, accepted for publication in Phys. Rev. Lett