Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1998-03-18
Phys. Rev. E 58, 254-280 (1998)
Physics
Condensed Matter
Statistical Mechanics
28 PR pages, 19 figures; to be published in Phys. Rev. E; my personal Web-Site address added; the proofread version
Scientific paper
10.1103/PhysRevE.58.254
The ordinary surface magnetic phase transition is studied for the exactly solvable anisotropic spherical model (ASM), which is the limit D \to \infty of the D-component uniaxially anisotropic classical vector model. The bulk limit of the ASM is similar to that of the spherical model, apart from the role of the anisotropy stabilizing ordering for low lattice dimensionalities, d =< 2, at finite temperatures. The correlation functions and the energy density profile in the semi-infinite ASM are calculated analytically and numerically for T >= T_c and 1 =< d =< \infty. Since the lattice dimensionalities d=1,2,3, and 4 are special, a continuous spatial dimensionality d'=d-1 has been introduced for dimensions parallel to the surface. However, preserving a discrete layer structure perpendicular to the surface avoids unphysical surface singularities and allows numerical solitions that reveal significant short-range features near the surface. The results obtained generalize the isotropic-criticality results for 2 < d < 4 of Bray and Moore [Phys. Rev. Lett. 38, 735 (1977); J. Phys. A: Math. Gen. 10, 1927 (1977)].
No associations
LandOfFree
Semi-Infinite Anisotropic Spherical Model: Correlations at T >= T_c does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Semi-Infinite Anisotropic Spherical Model: Correlations at T >= T_c, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Semi-Infinite Anisotropic Spherical Model: Correlations at T >= T_c will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-528662