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Related Experiment Videos

Diffusion accelerates and enhances chirality selection.

Ryo Shibata1, Yukio Saito, Hiroyuki Hyuga

  • 1Department of Physics, Keio University, Yokohama 223-8522, Japan.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 10, 2006
PubMed
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Diffusion significantly impacts chirality selection in reaction-diffusion systems. Increased diffusion enhances chiral symmetry breaking and accelerates the development of chiral order, contrary to dilution effects.

Area of Science:

  • Chemical kinetics
  • Reaction-diffusion systems
  • Chirality and symmetry breaking

Background:

  • Chiral symmetry breaking is crucial in chemical and biological systems.
  • Reaction-diffusion models are used to study pattern formation and selection.
  • The role of diffusion in chiral selection within these models requires detailed investigation.

Purpose of the Study:

  • To investigate the effect of diffusion on chirality selection in a 2D reaction-diffusion model.
  • To understand how diffusion influences the enantiomeric excess (ee) and critical concentration for symmetry breaking.
  • To develop a model that interpolates between diffusionless and homogeneous limits.

Main Methods:

  • Monte Carlo simulations of a two-dimensional reaction-diffusion model.

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  • The model includes achiral reactants forming chiral products (R or S) in a solvent of vacancies (V).
  • Monitoring chiral symmetry breaking using enantiomeric excess (ee) phi.
  • Main Results:

    • In diffusionless systems, strong autocatalysis drives chiral symmetry breaking, but dilution reduces ee.
    • Introducing diffusion increases the steady-state ee (phi) and decreases the critical concentration (c(c)).
    • A formula was proposed to interpolate ee and concentration across different diffusion regimes (D=0 to D=infinity).

    Conclusions:

    • Diffusion enhances chiral symmetry breaking and stabilizes chiral order in reaction-diffusion systems.
    • Diffusion accelerates the establishment of chiral order, with time scaling inversely with the diffusion constant.
    • The findings provide insights into the spatial effects governing chiral selection in chemical systems.