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Reaching a ground state of a spin system is analogous to a protein evolvinginto its native state. We study the ``folding'' times for various random Isingspin systems and determine characteristic temperatures that relate to the``folding''. Under optimal kinetic conditions, the ``folding'' times scale withthe system size as a power law with a non-universal exponent. This is similarto what happens in model proteins. On the other hand, the scaling behavior ofthe characteristic temperatures is different than in model proteins. Both inthe spin systems and in proteins, the folding properties deteriorate with thesystem size.Comment: REVTeX, 8 pages, EPS figures include

Spin analogues of proteins: scaling of `folding' properties