Mathematical models of homochiralisation by grinding of crystals

Details Mathematical models of homochiralisation by grinding of crystals Mathematical models of homochiralisation by grinding of crystals

2010-07-19

arxiv.org/abs/1007.3184v1

Biology

Quantitative Biology

Biomolecules

36 pp, 13 figs, to appear in Origins of Life and Evolution of Biospheres

Scientific paper

We review the existing mathematical models which describe physicochemical mechanisms capable of producing a symmetry-breaking transition to a state in which one chirality dominates the other. A new model is proposed, with the aim of elucidating the fundamental processes at work in the crystal grinding systems of Viedma [Phys Rev Lett 94, 065504, (2005)] and Noorduin [J Am Chem Soc 130, 1158, (2008)]. We simplify the model as far as possible to uncover the fundamental competitive process which causes the symmetry-breaking, and analyse other simplifications which might be expected to show symmetry-breaking.

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