Effective forces induced by fluctuating interface: exact results

Details Effective forces induced by fluctuating interface: exact results Effective forces induced by fluctuating interface: exact results

2007-03-30

arxiv.org/abs/cond-mat/0703815v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures, accepted for publication in Phys. Rev. Lett

Scientific paper

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).

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