# Questions tagged [ising-model]

Refers to the mathematical model of ferromagnetism in statistical mechanics. The model consists of discrete variables that represent magnetic dipole moments of atomic "spins" that can be in one of two states (+1 or −1).

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### Are lattice-based Monte Carlo simulations used in the case of liquids and gases?

The Ising model uses a lattice-based model as it is reasonable to simulate magnetic behavior in a solid. Is lattice-based Monte Carlo modeling used in the case of the simulation of gases and liquids (...
244 views

### How can I identify phase transition from a plot of Ising model?

The following is the plot of my Ising Model simulation: The upper one is for $T=3.3$, and the lower one is for $T=1.5$. Otherwise, in both cases, boltzmann=$1$, MC steps=$1000000$, and the lattice ...
583 views

### What is the fundamental difference between the Ising and Potts models?

What I understand is that the only difference between the Ising and Potts models is that Ising has two types of spins, and Potts has n types of spins. However, I am wondering if the Hamiltonian (...
144 views

### What is a "transient" state?

I was analyzing this source code of the Ising model. I found the term "transient state". I also found the term in this text: There are two absorbing states in this Markov chain because once ...
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### How do I initialize the lattice/grid in a Potts Model?

I am studying the Cellular Potts Model Tutorial. However, this doesn't say anything about the grid/lattice initialization. How do I initialize the lattice/grid in a Potts Model? I.e., how do I assign ...
106 views

### Is there any useful application to estimating the expectation value for an Ising model without magnetic field?

In the same line of thoughts as this post, I am trying to understand better in which cases quantum computers could be useful to simulate materials under some constraints on what the quantum computer ...
124 views

103 views

### Coupling between 1st and 2nd order phase transitions? [closed]

I am seeking some models or references on how to couple, or what to take into consideration, while coupling first-order phase transitions (for magnetic systems) and second-order phase transitions, in ...
238 views

### Why does the Wolff algorithm slow down in a 4-body Ising model?

In the paper that introduced "Self-learning MC" (an ML-inspired MC technique, as I understand) the authors consider a many-body Ising model as an example to show the efficiency of their ...
453 views

### Ising models with many-body interactions

I find it surprisingly difficult to find researches/papers on systematic "many-body interaction" extensions of the Ising model. Can somebody tell me a good review/article etc on this matter ...
175 views

### How to choose the values of J and spin parameters in a heterogeneous spin system?

In this work, graphene-based systems that are described by mixed spin-3/2 and spin-5/2 are studied using the ising-model. A diagram of the structure is shown bellow: The Hamiltonian used is: \begin{...
956 views

### What are good random number generators for Monte Carlo calculations?

Many problems in Computational Physics need the use of random number generators. When studying magnetic materials using the Heisenberg/Ising Hamiltonians (related questions about them can be seen here,...
132 views

### What measured quantity can be associated to the value of the J parameter in the Heisenberg/Ising hamiltonians?

This question is related to other one here in the MatterModelingSE: Is it possible to calculate/estimate the value of the J parameter to be used in the Heisenberg/Ising hamiltonians? Here J is the ...
273 views

### Is it possible to calculate/estimate the value of the J parameter to be used in the Heisenberg/Ising Hamiltonians?

Studying magnetic systems, two frequently used approximations are the Heisenberg and Ising models (a discussion about these approximations can be read here): \begin{equation} \tag{Heisenberg} \hat{H}...
943 views

### Autocorrelation function problem in Monte Carlo simulation of 2D Ising model

Currently, I did a Monte Carlo simulation with the local update and Wolff cluster updated in 2D classical Ising model. I use the autocorrelation function to compare 2 different algorithm in critical ...
Heisenberg model $$\hat{H}=-\sum_{\langle i j\rangle}J\hat{S}_i\hat{S}_j$$ And in its simplified version, the Ising model $$\hat{H}=-\sum_{\langle ij\rangle}J\hat{S}_i^z\hat{S}_j^z$$ are widely ...