Free-energy functionals at the high-gradient limit

Philip Rosenau*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


It is shown that free energy functionals have a unique infinite-gradient limit which assures a finite interaction energy. This limit is used to extrapolate the Ginzburg-Landau small-gradient theory. The resulting functionals allow the existence of cusped equilibria or equilibria with sharp interfaces. If perturbed, a sharp interface will not quench immediately, but rather dissolve within a finite time.

Original languageEnglish
Pages (from-to)2227-2230
Number of pages4
JournalPhysical Review A
Issue number4
StatePublished - 1990
Externally publishedYes


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