[nitpick]Only if the differential survival is a consequence of the difference between variants. Otherwise you've got GENETIC DRIFT.[/nitpick]
There is differential survival of minerals as a consequence that depends on the difference between variants, especially when it comes to defect structure. For instance, the growth f a crystal is highly sensitive to the structure and composition of the crystal surface.
Particularly important to OOL are the molecules adsorbed to the surface of the crystal in liquid water. Organic molecules that adsorb to the surface of the crystal can protect what is beneath from chemical reaction. A surface in water preferentially absorbs organic molecules can avoid corrosion from the water. There are also the chemical reactions that make the crystal grow. Redox reactions that affect crystal grwoth can be enhanced or inhibited by organic molecules.
OOL models that involve crystal surfaces. are sometimes called metabolism first. Crystal surfaces differentially affect redox reactions, which in living things are generally characterized as metabolism and growth. The molecules involve in bological replication, the nucleotides, often do their thing in liquid solution.
Reproduction involves both growth and replications. A formless mass that grows is in some sense reproducing, even if there are no separate units that can be replicated.
Some scientists are working with the idea that the reactions dealing with metabolism and growth first developed on the surface of minerals immersed in water. The minerals adsorbed organic molecules that would enhance the reactions for growing the crystal. The organic molecules on these surfaces grew more and more complex. Eventually, organic molecules were adsorbed that were also self replicators in the environment of these crystal surface. Eventually, the organic molecules peeled off to become independent cells.
There are several hypotheses on which minerals where responsible for the evolution of metabolism. Some of the OOL models involve clay particles. Now, many models use the minerals that appear in hydrothermal vents. The main idea in all these models is that the metabolism related growth evolved before the replication.
As of yet, they are all just hypotheses. Experiments have been restricted to analogous systems. However, none of these models involve a violation of known laws in physics or chemistry.
Responders in this thread seem to be restricting their attention to the nucleotides. Daniel's challenge is to show that a 'functioning' RNA molecule could spontaneously form outside the cell. I believe that such a spontaneous reaction could not occur in aqueous solution without a surface. However, outside the cell doesn't mean in aqueous solution.
In fact, the reactions that occur in a cell don't occur in aqueous solution. The enzymes involved are often embedded on a surface. The translation of RNA to protein occurs on the surface of a ribosome. The ribosome itself could have evolved before there was RNA on a surface on one of those 'black smoker chimneys'.