Optimizing ising for spin I>1/2

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SUMMARY

This discussion focuses on optimizing an Ising model with spin 7/2 using simulated annealing for a pattern recognition task. The system consists of a 40x40 grid, resulting in 8 states per node due to the spin configuration. The primary challenge identified is determining the equivalent of thermal fluctuations and the method for transitioning between neighboring states in this context. The discussion also clarifies that this scenario is more accurately described by the Heisenberg model, as it involves spins greater than 1/2.

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zeta
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I am trying in vain to use simulated anneal to minimize an ising system with spin 7/2. This is a model for a pattern recognition task. The system is roughly 40^2 and the spin -7/2<I<7/2
ie., 2I+1 = 8 states per node. It's big.

The problem is that I can't work out what a thermal fluctuation corresponds to in this case or in other words how does one move between neighboring states? Take the TS problem, you simply rearrange coordinates. What's the analogous move here?
cheers
 
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strictly speaking this is called the Heisenberg model, b/c I>1/2
 

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