2016/01/23 by A. -M. Tsopelakou, A.-M. Tsopelakou, G. Margazoglou +14
Physics and Astronomy · #Complex Network Analysis Techniques #FOS: Physical sciences #Opinion Dynamics and Social Influence #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.1601.06306
6 pages, 4 figures
arxiv created 2016/01/23 · openalex publication_date 2016/01/23 · arxiv updated 2016/01/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a method for calculating the isothermal critical exponent δ in Ising systems undergoing a second-order phase transition. It is based on the calculation of the mean magnetization time series within a small connected domain of a lattice after equilibrium is reached. At the pseudocritical point, the magnetization time series attains intermittent characteristics and the probability density for consecutive values of mean magnetization within a region around zero becomes a power law. Typically the size of this region is of the order of the standard deviation of the magnetization. The emerging power-law exponent is directly related to the isothermal critical exponent δ through a simple analytical expression. We employ this method to calculate with remarkable accuracy the exponent δ for the square-lattice Ising model where traditional approaches, like the constrained effective potential, typically fail to provide accurate results.