Undergrad Decorrelation steps in Wolff algorithm

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In Monte Carlo simulations using the Wolff algorithm for the 2D/3D Ising and classical 3D Heisenberg models, a common guideline is to set decorrelation steps to 10 times the lattice size (10*L) to ensure independent measurements of observables, especially near critical temperatures. This recommendation aims to minimize autocorrelation in the data collected during simulations. However, the effectiveness of this rule can vary based on specific system parameters and conditions. Researchers are encouraged to validate the decorrelation step by monitoring the convergence of observables. Ultimately, ensuring adequate decorrelation is crucial for obtaining reliable simulation results.
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Decorrelation steps in Wolff algorithm
Hello all,

I am doing a monte Carlo simulation using Wolff algorithm for the 2D/3D Ising and classical 3D Heisenberg model, I have been told that the rule of thumb is to make your decorrelation steps = 10*L where L is the size of lattice, and this is would be sufficient enough to make independent measurements for observables even near the critical temperature

So what is recommendation really ?
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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