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Benchmark 2 misattributes concentration gradient energy term

Open guyer opened this issue 1 year ago • 5 comments

As reported by @daubners, the free energy in Benchmark 2 includes a term " $\frac{\kappa_{c}}{2}|\nabla c|^{2}$ " and says it is based on Ref. [ZHU] (and, indirectly, on Ref. [KKS]) and on Ref. [WBM]. None of these sources include a gradient energy term in concentration, although Ref. [WBM] does remark "a more general model might also include contributions due to the gradients of the other thermodynamic variables".

This term isn't "wrong", but it shouldn't be attributed to [ZHU] or [WBM].

Related: after Eq. (7), there is a typo in the coefficients: " $k_c = k_\phi = 3$ " should read " $\kappa_c = \kappa_\phi = 3$. "

Note: these issues carry over from the original benchmark paper.

guyer avatar Mar 14 '23 13:03 guyer