All Questions
Tagged with simulations ising-model
47
questions
2
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Spin glass observables in Monte Carlo simulations
I am currently simulating an Edwards-Anderson spin glass using standard Metropolis Monte Carlo techniques. The spins are placed on a 3D cubic lattice with periodic boundaries and take on Ising values (...
- 21
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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: $$A(T) = \langle(M(t)\ - \langle M\...
- 508
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votes
1
answer
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Is there any point in doing Monte Carlo on classical 2D Ising spin systems? [closed]
The partition function of a classical Ising spin system with arbitrary bonds on any planar graph can be evaluated in polynomial time, through the FKT algorithm. And if I understand correctly, this ...
- 713
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Generating Ising model steady state configurations
What is the most efficient way to simulate steady state configurations of the Ising model? I am just interested in having a large set of random steady state configurations of the 1D Ising model (with ...
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Simulation of Quantum Ising Model
I curious to know if there is a way to do simulation of quantum ising model with transverse field.
The method I know is - do classical ising model simulation in d+1 dimension which essentially maps to ...
- 418
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What methods can I use to find the minimum of a tranverse field Ising model?
I am trying to solve for the minimum of the hamiltonian of the form:
$$
H = \sum_{i,j} J_{ij}q(i)q(j) + g_i\sum_i x(i)
$$
where q(i) is the operator (I + z(i))/2 and z(i) and x(i) are pauli operators ...
- 11
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answer
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Autocorrelation function problem in Monte Carlo simulation of 2D Ising model
Currently, I did a Monte Carlo simulation with the local update and Wolff cluster updated in 2D classical Ising model. I use the autocorrelation function to compare 2 different algorithm in critical ...
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Averages of absolute values in Monte Carlo simulation of Ising Model
Consider the 2D Ising model in $0$ field, with Hamiltonian
$$ 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 ...
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Fluctuating magnetization curve in ising model
I am working on Metropolis-Montecarlo algorithm for 2D Ising model in python partly based on this document. I ran the simulation for 100 times on a 25 x 25 lattice with external magnetic field B = 0. ...
- 494
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Using MATLAB to simulate the Ising Model [closed]
I am using MATLAB to simulate a 1D Ising Chain. I am running into an issue where when trying to find heat capacity, my system has a tremendous amount of noise. I'll post my code and an image of the ...
- 171
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Why are the autocorrelations larger for the energy at the critical temperature?
Considering a simulation with the Swendsen-Wang algorithm for the 3-D cubic lattice I wanted to have a look at the auto-correlations, and expecting it to be quite small considering Swendsen-Wang is a ...
- 1,772
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336
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How to calculate the autocorrelation function of magnetic susceptibility for the Ising model?
In the paper Wolff U. 1989. Physics Letters B. 228(3):379–82, the autocorrelation time of susceptibility, $\tau_\chi$ was calculated, but the way to do so was not clearly explained in the paper.
To ...
3
votes
1
answer
694
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Magnetic susceptibility vs Monte Carlo step
I have some difficulties in understanding how to compute the magnetic susceptibility from a Monte Carlo simulation of the Ising model. I know that it is related to the magnetisation of the system by $\...
- 479
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2
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138
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Evaluating the quality of Monte Carlo simulations for 3D Ising model
Suppose I have developed a new Monte Carlo method, and I plan to test this method on studying the magnetization of a 3D Ising model at some non-zero temperature $T$. The coupling is nearest neighbor, ...
- 713
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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/...
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