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Domain magnetization approach to the isothermal critical exponent
- Publication Year :
- 2016
-
Abstract
- We propose a method for calculating the isothermal critical exponent $\delta$ 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 $\delta$ through a simple analytical expression. We employ this method to calculate with remarkable accuracy the exponent $\delta$ for the square-lattice Ising model where traditional approaches, like the constrained effective potential, typically fail to provide accurate results.<br />Comment: 6 pages, 4 figures
- Subjects :
- Condensed Matter - Statistical Mechanics
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1601.06306
- Document Type :
- Working Paper