[dogma1138]

The 'desirable state' always exists and that is govern by the laws of physics and the environment.

In this case if we have self replicating proteins in a puddle of amino acids then those which would replicate the best in that environment and that process would be governed by multiple factors such as what is the most "cost effective" combination and what is the most "resilient" combination that will hold up to environmental factors.

For the amino acids themselves it's not that different which ones would appear and at what ratio would also be governed by the laws of physics based on the compounds available, the make up of the solvent existing energy sources and more.

If for example you have amino acids that can survive dehydration and those who cannot then the only ones which will be left after a few cycles of that puddle drying up and filling with water will be those which can survive. Same will go for the proteins the protein which will be able to survive dehydration the best and or the proteins that would assemble and self replicate the fastest during the wet period would be the ones that are the "desirable state" as these would be the ones that survive this specific environment and process.