George Duke wrote on Thu, Dec 29, 2011 09:37 PM UTC:
One of Betza's could be adapted to that, http://www.chessvariants.org/diffmove.dir/feeble.html, by progressively weakening to what Betza determines already as the weakest, lowest energy state. Subvariant: Feeble Physics. In Big Outer, http://www.chessvariants.org/large.dir/contest/bigouter.html, the pieces progressively weaken concentrically-bound toward the centre. (neither for entropy)