Finite-size scaling in the d=3 Ising-model

Calculations with various methods have yielded reasonable results for the critical exponents and amplitudes-ratios in the d=3 Ising-model. But so far almost nothing is known concerning the corrections to the leading power-law terms of the scaling and finite-size scaling laws, except that correction-terms are described as expressions of power-law terms too. In this work the finite-size scaling behavior of different observables (peaks and peak-positions of the energy-cumulants C-V, V-BLC, U-4, the ee-Yang and Fisher zeroes and the angle φ between the first two Fisher zeroes) is considered numerically in the critical domain with main effort given on the extended analysis of corrections. Based on Monte-Carlo simulations with the Swendsen-Wang algorithm at lattices of reasonable sizes L = 43, 83, 163, 243 and 323, magnetization- and energy-histograms were measured at different temperatures and combined to optimized 'main'-histograms with the Ferrenberg-Swendsen multihistogram-technique. From these final histograms the particular observables were obtained and analyzed with diverse fit-ansaetze in respect to the expected finite-size scaling behavior of the correction-terms. The results confirm most of the theoretical expectations. (author)