Trigonometric Plot of Ising Model

TL;DR

This paper introduces a cellular automaton model that visualizes the susceptibility of an Ising model with multiple phase transitions through a trigonometric plot, achieved without mathematical libraries.

Contribution

It presents a novel cellular automaton framework that simulates complex Ising model behaviors and visualizes susceptibility as a trigonometric plot without external math libraries.

Findings

Model exhibits five phase transitions, including first-order and second-order.

Generates a trigonometric susceptibility plot directly from cell evolution.

Reverses update rules based on environment, introducing frustration and anisotropic evolution.

Abstract

A novel cellular automaton with update rules reversed with the environment depending on the cell, is frustrated through its von Neumann and Moore neighborhoods and evolved anisotropically. Addition of fine tuning and coupling plots the susceptibility of an Ising model that has five phase transitions, both first-order and second-order, and four magnetic phases. This susceptibility model generates a trigonometric plot as an output of the cell evolution, without the use of math libraries or primitives.