6533b7d2fe1ef96bd125f4a4

RESEARCH PRODUCT

Critical wetting in the square Ising model with a boundary field

Dieter W. HeermannKurt BinderEzequiel V. AlbanoWolfgang Paul

subject

Phase transitionWetting transitionCondensed matter physicsFree surfaceStatistical and Nonlinear PhysicsIsing modelBoundary value problemWettingCritical exponentSquare latticeMathematical PhysicsMathematics

description

The Ising square lattice with nearest-neighbor exchangeJ>0 and a free surface at which a boundary magnetic fieldH1 acts has a second-order wetting transition. We study the surface excess magnetization and the susceptibility ofL×M lattices by Monte Carlo simulation and probe the critical behavior of this wetting transition, applying finite-size scaling methods. For the cases studied, the results are not consistent with the presumably exactly known values of the critical exponents, because the asymptotic critical region has not yet been reached. Implication of our results for critical wetting in three dimensions and for the application of the present model to adsorbed wetting layers at surface steps are briefly discussed.

https://doi.org/10.1007/bf01013958