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Diffusion Enhances Chirality Selection

Ryo Shibata·Yukio Saito·Hiroyuki Hyuga
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Abstract

Diffusion effect on chirality selection in a two-dimensional reaction-diffusion model is studied by the Monte Carlo simulation. The model consists of achiral reactants A which turn into either of the chiral products, R or S, in a solvent of chemically inactive vacancies V. The reaction contains the nonlinear autocatalysis as well as recycling process, and the chiral symmetry breaking is monitored by an enantiomeric excess $ϕ$. Without dilution a strong nonlinear autocatalysis ensures chiral symmetry breaking. By dilution, the chiral order $ϕ$ decreases, and the racemic state is recovered below the critical concentration $c_c$. Diffusion effectively enhances the concentration of chiral species, and $c_c$ decreases as the diffusion coefficient $D$ increases. The relation between $ϕ$ and $c$ for a system with a finite $D$ fits rather well to an interpolation formula between the diffusionless(D=0) and homogeneous ($D=\infty$) limits.

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Ryo Shibata, Yukio Saito, Hiroyuki Hyuga. 2006-03-16. Diffusion Enhances Chirality Selection. https://doi.org/10.1103/physreve.74.026117

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