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The wetting layers for long-range wall-particle potentials

100%

Barasiński A. , Drzewiński A.

2007

tom Vol. 6, nr 1

9-14

The complete wetting in 2D Ising strips subject to identical surface fields decaying as h1z-p is studied by means of the density-matrix renormalization-group technique. Using different criteria the thickness of a layer is determined along some isotherms above the wetting temperature. It is found that magnetization profiles are characterized by wide interfacial regime.

Solvation force for systems in a square-like geometry

100%

Drzewiński A. , Zubaszewska M.

tom Vol. 9, nr 2

43-48

The solvation force of a simple fluid confined between four identical walls is studied with different settings of surface fields. Our numerical results, obtained by densitymatrix renormalization techniques for a strip-like systems of widths up to 500 lattice constants, provide excellent the bulk free-energy extrapolation. The influence of surface fields setting on the pseudo-coexistence line and on the solvation force is presented.

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

80%

Drzewiński A. , Parry A. O. , Szota K.

2007

tom 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.

Time evolution of the haldane state after a quantum quench

80%

Woźniak D. , Drzewiński A. , Kamieniarz G.

tom Vol. 13, nr 4

151--156

In the framework of the Matrix Product States representation the effect of a sudden quench of the uniaxial anisotropy on the time evolution of the Haldane state has been investigated. The existence of the non-vanishing string correlations in the limit of a large distance in the Haldane phase has been verified. The overlap of the initial and time-evolved states, the so-called Loschmidt echo, has been investigated.

Percolation with a barier in finite systems

71%

Drzewiński A. , Klimek M. , Kośmider M. , Pasternak K. , Szota K.

tom Vol. 9, nr 2

37-41

The site percolation, where the long-range connectivity is the result of the occupancy probability defined on a site, is studied on the L×L square lattice. Method of determining of the location of the percolation pseudo-threshold pc(L) is proposed and the influence of a barrier on the percolation pseudo-threshold is analysed.