Jump to main content
Jump to site search


Stochastic Chiral Symmetry Breaking Process Besides the Deterministic One

Abstract

In chiral symmetry breaking, populations with initial enantiomeric excess (EE) are probabilistically favored if statistical fluctuation is present, as in nature. Stochastic methods correctly describe chiral symmetry breaking by taking into account the quantitative enantiomeric difference (excess or deficiency) and the statistical fluctuation amplitude, which is inversely proportional to the absolute size of populations involved. From it, we obtain a law, which indicates that such favoring probability decreases exponentially [P(EE) = 1/(e^(αEE)+1)] with an initial enantiomeric deficiency mediated by statistical fluctuation. Obviously, chiral symmetry breaking equally favors populations without enantiomeric excess [P(0)=1/2]. However, if deterministic methods are considered, chiral symmetry breaking will strictly favor the population with initial enantiomeric excess (EE). To study these stochastic chiral symmetry breaking processes the autocatalytic Frank model was considered. Summarizing, our results break with the widespread idea that initial enantiomeric excesses are responsible for the final state configuration of autocatalytic systems.

Back to tab navigation

Supplementary files

Publication details

The article was received on 11 Jul 2017, accepted on 12 Oct 2017 and first published on 12 Oct 2017


Article type: Paper
DOI: 10.1039/C7CP04674J
Citation: Phys. Chem. Chem. Phys., 2017, Accepted Manuscript
  •   Request permissions

    Stochastic Chiral Symmetry Breaking Process Besides the Deterministic One

    L. S. Dias and A. L. Castillo, Phys. Chem. Chem. Phys., 2017, Accepted Manuscript , DOI: 10.1039/C7CP04674J

Search articles by author

Spotlight

Advertisements