Finite-size effects in the rough phase of the 3d Ising model

Abstract

Using Monte Carlo simulations, finite-size effects of interfacial properties in the rough phase of the Ising on a cubic lattice with L×L×R sites are studied. In particular, magnetization profiles perpendicular to the flat interface of size L×R are studied, with L being considerably larger than R, in the (pre)critical temperature range. The resulting R-dependences are compared with predictions of the standard capillary-wave theory, in the Gaussian approximation, and with a field theory based on effective string actions, for L=∞.