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Effective forces induced by fluctuating interface: exact results

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 نشر من قبل Anna Macio{\\l}ek
 تاريخ النشر 2007
  مجال البحث فيزياء
والبحث باللغة English
 تأليف D. B. Abraham -




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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/(rlog r).



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