Springer LINK: The European Physical Journal B - Abstract Volume 5 Issue 3 (1998) pp 805-810

The European Physical Journal B

ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)

Table of Contents

Abstract Volume 5 Issue 3 (1998) pp 805-810

Critical phenomena at edges and corners

M. Pleimling, W. Selke (a)

Institut für Theoretische Physik, Technische Hochschule, 52056 Aachen, Germany

Received: 29 January 1998 / Accepted: 17 March 1998

Abstract: Using Monte-Carlo techniques, the critical behaviour at edges and corners of the three-dimensional Ising model is studied. In particular, the critical exponent $\beta_2$ of the local magnetization at edges formed by two intersecting free surfaces is estimated to be, as a function of the opening angle $\theta$, $0.96 \pm 0.02$ for $\theta = 135^{\rm o}$,$1.28 \pm 0.04$ for $90^{\rm o}$, and $2.30 \pm 0.10$for $45^{\rm o}$. The critical exponent $\beta_3$ of the corner magnetization of a cube is found to be $1.86 \pm 0.06$. The Monte-Carlo estimates are compared to results of mean field theory, renormalization group calculations and high temperature series expansions.

PACS. 05.50.+q Lattice theory and statistics; Ising problems - 68.35.Rh Phase transitions and critical phenomena - 75.40.Mg Numerical simulation studies

(a) email: selke@physik.rwth-aachen.de

Article in PDF format (321 KB)