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An Interesting Little Thing about the CVM Entropy (with Code)

An Interesting Little Thing about the CVM Entropy (with Code)

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The 2-D CVM Entropy and Free Energy Minima when the Interaction Enthalpy Is Zero:   Today, we transition from deriving the equations for the Cluster Variation Method (CVM) entropies (both 1-D and 2-D) to looking at how these entropies fit into the overall context of a free energy equation. Let’s start with entropy. The truly important thing about entropy is that it gives shape and order to the universe. Now, this may seem odd to those of us who’ve grown…

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Expressing Total Microstates (Omega) for the 1-D and 2-D CVM – Part 2

Expressing Total Microstates (Omega) for the 1-D and 2-D CVM – Part 2

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Showing How the Omega Equation is Obtained for the 1-D and 2-D CVM – Part 2:   The cluster variation method (CVM) lets us characterize a system in terms of local patterns, and not just the numbers of units in on (A) and off (B) states. It works with a more complex entropy term. The natural question is: How do obtain this more complex entropy? This post continues a discussion begun in the last post, on how we actually get…

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Expressing Total Microstates (Omega) for the 1-D Cluster Variation Method – Part 1

Expressing Total Microstates (Omega) for the 1-D Cluster Variation Method – Part 1

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The 1-D CVM – A Single Zigzag Chain – Part 1:   The cluster variation method (CVM) lets us characterize a system in terms of local patterns, and not just the numbers of units in on/off states. This is likely to be useful for machine learning and AI applications. Up until now, we’ve not told the story of how we actually compute the CVM entropy from the microstates. We’ll do that starting with this post; it will be a handy…

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