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Universality of the 2D wetting transition with respect to long-range forces

Drzewiński A., Parry A. O., Szota K.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2007

Vol. 6, nr 1

57-63

Effective Hamiltonian models predict non-universal critical singularities for two-dimensional wetting transitions with long-ranged forces. We verify these predictions by studying delocalization transitions in an infinitely long Ising strip, of width L (lattice spacings), with long-ranged surface fields that have opposite sign at each surface. The extrapolated asymptotic value for the exponent β:s does not confirm to the predicted non-universality but instead approaches the same universal value representative of systems with short-ranged forces. The crossover of the scaling behaviour of the transition lines is presented. Moreover, contrary to the existing predictions, the critical wetting transition for p = 2 has been found.

Localization of the wetting transition for finite systems with a long-range wall-fluid potential

Drzewiński A., Parry A. O., Szota K.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2006

Vol. 5, nr 1

15-22

The properties of a simple fluid, or Ising magnet, confined in an Lx ∞ geometry, are studied by means of numerical density-matrix renormalization-group techniques. We have proposed and have verified a few criterions to determine the wetting transition phase boundary with different ranges of surface forces.