Effective forces induced by fluctuating interface: exact results

D. B. Abraham; F. H. L. Essler; A. Maciolek; ;

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Effective forces induced by fluctuating interface: exact results

D. B. Abraham·F. H. L. Essler·A. Maciolek·;

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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).

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D. B. Abraham, F. H. L. Essler, A. Maciolek, ;. 2007-03-30. Effective forces induced by fluctuating interface: exact results. https://arxiv.org/abs/cond-mat/0703815

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