Finding the Dominant Zero of the Energy Probability Distribution

Abstract

In this work, we present a method to locate the dominant zero of the Energy Probability Distribution (EPD) Zeros method applied to the study of phase transitions. The technique strongly reduces computer processing time and also increases the accuracy of the results. As an example, we apply it to the 2D Ising model, comparing with both the exact Onsager's results and the previous EPD zeros method results. We show that, for large lattices, the processing time is drastically reduced when compared to other EPD zeros search procedures, whereas for small lattices the gain in accuracy allows very accurate predictions in the thermodynamic limit.

10 pages, 5 figures. Revised extended version

References in corpus (5)

• Determination of universal critical exponents using Lee-Yang theory
• Identifying transitions in finite systems by means of partition function zeros and microcanonical inflection-point analysis: A comparison for elastic flexible polymers
• Logarithmic finite-size scaling correction to the leading Fisher zeros in the p-state clock model: A higher-order tensor renormalization group study
• Fisher's zeros of quasi-Gaussian densities of states
• Dependence of critical parameters of 2D Ising model on lattice size

Cited by in corpus (2)

• Connecting the Unstable Region of the Entropy to the Pattern of the Fisher's Zeros Map
• A Microcanonical Inflection Point Analysis via Parametric Curves and its Relation to the Zeros of the Partition Function