All Questions
Tagged with simulations ising-model
47
questions
3
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1
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73
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Ising Model magnetisation
I am simulating the 2D Ising Model and specifically looking at the time evolution of magnetisation $m$. Now, in the non-equilibrium state, magnetisation will grow as a power law with time $t$, if ...
- 1,940
2
votes
1
answer
249
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Magnetic susceptibility error by binning Monte Carlo
I am studying the 2D Ising model using Monte Carlo simulations and I have learned the binning (or batching) method for the error statistical analysis. Following this discussion https://books.google.it/...
CommunityBot
- 1
1
vote
0
answers
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Solving a system of equations involving Gaussian Integrals numerically [closed]
I wish to solve the following system of equations numerically in any software, I tried in Mathematica using the expectation functions, but I have a difficulty in understanding how to go about solving ...
2
votes
2
answers
128
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Phase transition in Ising Model with local $\mathbb{Z}_2$ symmetry
I am studying the Ising model with a local $\mathbb{Z}_2$ gauge symmetry
\begin{equation}
\mathcal{H} = -\sum_{\text{plaquettes}} \sigma^z(\vec{x}, \vec{\mu})\sigma^z(\vec{x}+\vec{\mu}, \vec{\nu})\...
- 368
1
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0
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Can the specific heat capacity in the Ising Model be negative?
Im working on a numerical method for the Ising model. I'm asked to calculate both the absolute magnetizetion and the specific heat capacity:
$$c = \frac{\beta^2}{N} \left( \langle H^2 \rangle - \...
- 8,094
1
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1
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Two-point-correlation in the 3D ising model
I am currently coding a 3D (Monte-Carlo) implementation of the Ising model, using the single spin-flip & Wolff algorithm.
So far, I was able to calculate all the interesting observables, like $M$ ...
- 3,260
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0
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Question about Monte Carlo Simulation of 2D lattice Ising Model and Classical Heisenberg Model
I'm trying run and experiment with Monte Carlo Simulations of 2D lattice Ising Model and Classical Heisenberg Model.
I've made a brief research on both models and I saw that main differences of these ...
- 699
1
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3
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457
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Averages of absolute values in Monte Carlo simulation of Ising Model
Consider the 2D Ising model in $0$ field, with Hamiltonian
$$ H=J\sum_{\langle i,j\rangle}\sigma_i\sigma_j$$
The magnetization per spin is defined as
$$M=\frac{1}{N}\sum_i \sigma_i $$
Where $N$ is ...
- 469
0
votes
1
answer
40
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How to interpret weights of the Principal Component Analysis of the Ising model?
I'm trying to replicate the results obtained in this paper: https://arxiv.org/pdf/1606.00318.pdf
. On page 3 the autors mention that the fact that the weight of the first principal component is ...
- 51
5
votes
0
answers
705
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Decorrelation times for a 2D Ising Model over a range of temperatures
So, I'm trying to simulate the Ising Model on a 2D square lattice of spins. When exploring the auto correlation of the magnetisation:
Where the auto covariance: $$A(T) = \langle(M(t)\ - \langle M\...
- 315
1
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0
answers
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Metropolis Monte-Carlo for magnetic system with $S > 1/2$ or arbitrary set of quantum systems
A well-known example of classical Monte-Carlo method application is Ising model with $S=1/2$.
As I understood, people there widely use it for any kind of magnetic materials following the same idea
$$
...
- 111
1
vote
0
answers
61
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Difference between two Monte-Carlo methods in Ising model
I was working on a Monte-Carlo simulation of the Ising model. It seems that we have two different way to flip a single spin and I didn't quite understand the difference between them.
Say we have $N\...
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How do I initialize the lattice/grid in a Potts Model?
I am studying the following:
Cellular Potts Model Tutorial
However, either this doesn't say anything about the grid/lattice initialization, or I failed to find any indication.
How do I initialize ...
CommunityBot
- 1
1
vote
1
answer
277
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Simulating the Ising Model, but with three states instead of two
Recall the homogeneous Ising energy of a configuration σ in the absence of a magnetic field is given by the Hamiltonian function
$$
H(\sigma) = -\sum_{\langle i~j\rangle} \sigma_i \sigma_j ,
$$
where ...
- 1,091
0
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1
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Meaning of 'thermalization' in Markov Chain Monte Carlo simulations
In performing MCMC simulations, it is standard practice to 'equilibriate' or 'thermalize' the system and then discard the initial data before useful sampling is done.
My question is about the concept ...
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