Diffusion Enhances Chirality Selection

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dc.creatorShibata, Ryo
dc.creatorSaito, Yukio
dc.creatorHyuga, Hiroyuki
dc.date2006-03-16
dc.date.accessioned2026-07-07T08:19:05Z
dc.date.available2026-07-07T08:19:05Z
dc.descriptionDiffusion 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.
dc.description7 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0603422
dc.identifierhttp://arxiv.org/abs/cond-mat/0603422
dc.identifierPhys. Rev. E 74 (2006) 026117-1-7.
dc.identifierdoi:10.1103/PhysRevE.74.026117
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134649
dc.subjectStatistical Mechanics
dc.titleDiffusion Enhances Chirality Selection
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