Stability of racemic and chiral steady states in open and closed chemical systems

Details Stability of racemic and chiral steady states in open and closed chemical systems Stability of racemic and chiral steady states in open and closed chemical systems

2008-11-19

arxiv.org/abs/0811.3124v1

Biology

Quantitative Biology

Populations and Evolution

25 pages, 1 figure. To appear in Physics Letters A (2008)

Scientific paper

10.1016/j.physleta.2008.10.079

The stability properties of models of spontaneous mirror symmetry breaking in chemistry are characterized algebraically. The models considered here all derive either from the Frank model or from autocatalysis with limited enantioselectivity. Emphasis is given to identifying the critical parameter controlling the chiral symmetry breaking transition from racemic to chiral steady-state solutions. This parameter is identified in each case, and the constraints on the chemical rate constants determined from dynamic stability are derived.

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