ISSN:
1572-9613
Keywords:
Phase transitions
;
surface tension
;
surface stiffness
;
step free energy
;
finite-size correlation lengths
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract Two- and three-dimensional Ising-type systems are considered in the finite-cross-section cylindrical geometry. An interface is forced along the cylinder (strip in 2d) by the antiperiodic or +− boundary conditions. Detailed predictions are presented for the largest asymptotically degenerate set of the transfer matrix eigenvalues. For rough interfaces, i.e., for 0〈T〈T c in 2d,T R〈T〈T c in 3d, the eigenvalues are split algebraically, and the spectral gaps are governed by thesurface stiffness coefficient. For “rigid” interfaces, i.e., 0〈T〈T R in 3d, the eigenvalues are split exponentially, with the gaps determined by thestep free energy.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01019773
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