Python code implementing Markov Chain Monte Carlo for 2D and 3D square-lattice Ising model. Experiments for a large scale 3D-lattice Ising model consume a lot of energy and time. We strongly recommend you to use a server with decent multi-core CPUs.

Nov 4, 2017 · I am trying to calculate the energy, magnetization and specific heat of a two dimensional lattice using the metropolis monte carlo algorithm. return np.ones((rows, cols)) left = (x, y - 1) right = (x, (y + 1) % lattice) top = (x - 1, y) bottom = ((x + 1) % lattice, y) return [spin_array[left[0], left[1]], spin_array[right[0], right[1]],

This repository contains a Python implementation of the Ising model simulation using the Metropolis-Hastings algorithm. The code allows for studying phase transitions in magnetic systems, computing specific heat, mean energy, magnetization, and magnetic susceptibility for a …

Jan 29, 2018 · I've coded out the Ising Model simulation based on Monte Carlo simulation and the Metropolis Algorithm but I am having some trouble, namely the ValueError: setting an array element with a sequence. Any help to solve this would be appreciated. The following shows where the error lies in the code:

2D Ising model: For two and higher dimensions, we can introduce islands of defects, which cost only at the boundaries, and are thus, proportional to the perimeter L = εN2, where 0 <ε <1. In...

I am trying to calculate the energy, magnetization and specific heat of a two dimensional lattice using the metropolis monte carlo algorithm. return np.ones((rows, cols)) left = (x, y - 1) right = (x, (y + 1) % lattice) top = (x - 1, y) bottom = ((x + 1) % lattice, y) return [spin_array[left[0], left[1]], spin_array[right[0], right[1]],

This article explores an implementation of the 2D Ising model using the Metropolis algorithm in the Python programming language. The goal of this work was to explore the scope of behaviours this model can demonstrate through a simplistic implementation on a relatively low-end machine.

Figure 6: Plot of Average Magnetization over the course of the Metropolis Monte Carlo Simula-tion at Temperatures of 0.5, 2.27, and 5.0 Kelvin. We observe spontaneous magnetization at a temperatures of 1 K and 2.27 K.

Jan 28, 2023 · The above script, simulates the 2D ISING model, using the Numba JIT compiler, parallel processing with Numba’s prange, branch less computation, and a lookup table for exponential function.

Python code implementing Markov Chain Monte Carlo for 2D and 3D square-lattice Ising model. Experiments for a large scale 3D-lattice Ising model consume a lot of energy and time. We strongly recommend you to use a server with decent multi-core CPUs.