Finding the Dominant Zero of the Energy Probability Distribution
arXiv:1912.06457 · doi:10.1142/S0129183121501552
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.
arXiv comment10 pages, 5 figures. Revised extended version
References in corpus (23)
- An efficient, multiple range random walk algorithm to calculate the density of states
- Critical Phenomena and Renormalization-Group Theory
- Determining the density of states for classical statistical models: A random walk algorithm to produce a flat histogram
- Probing the anomalous dynamical phase in long-range quantum spin chains through Fisher-zero lines
- Broad Histogram Monte Carlo
- Exact Partition Function Zeros of the Wako-Saito-Muñoz-Eaton Protein Model
- Determination of universal critical exponents using Lee-Yang theory
- Density of the Fisher zeroes for the Ising model
- Density of states, Potts zeros, and Fisher zeros of the Q-state Potts model for continuous Q
- Energy Probability Distribution Zeros: A Route to Study Phase Transitions
- Fisher zeros of the Q-state Potts model in the complex temperature plane for nonzero external magnetic field
- Logarithmic finite-size scaling correction to the leading Fisher zeros in the p-state clock model: A higher-order tensor renormalization group study
- Identifying transitions in finite systems by means of partition function zeros and microcanonical inflection-point analysis: A comparison for elastic flexible polymers
- A new look at the 2D Ising model from exact partition function zeros for large lattice sizes
- The fully frustrated XY model revisited: A new universality class
- Fisher's zeros of quasi-Gaussian densities of states
- Using zeros of the canonical partition function map to detect signatures of a Berezinskii-Kosterlitz-Thouless transition
- Partition function zeros of the p-state clock model in the complex temperature plane
- Yang-Lee and Fisher Zeros of Multisite Interaction Ising Models on the Cayley-type Lattices
- Fisher Zeroes and Singular Behaviour of the Two Dimensional Potts Model in the Thermodynamic Limit
- Dependence of critical parameters of 2D Ising model on lattice size
- Intermediate phase and pseudo phase transition in an artificial spin ice model
- Finite Size Scaling, Fisher Zeroes and N=4 Super Yang-Mills