2020/08/31 by W. Selke, Walter Selke · 1 citation
Mathematics · Physics and Astronomy · #Condensed matter physics #Gaussian #Geometry #Ising model #Lattice (music) #Magnetic field #Magnetization #Markov Chains and Monte Carlo Methods #Mathematics #Monte Carlo method #Perpendicular #Physics #Quantum mechanics #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1016/j.physa.2020.125568
published in Physica A Statistical Mechanics and its Applications 565, 125568 (Elsevier BV) · 6 pages, 3 figures
arxiv created 2020/09/03 · openalex publication_date 2020/11/25 · arxiv updated 2020/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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=∞.