Reaction-noise induced homochirality

Abstract

Starting from the chemical master equation, we employ field theoretic techniques to derive Langevin-type equations that exactly describe the stochastic dynamics of the Frank chiral amplification model with spatial diffusion. The intrinsic multiplicative noise properties are completely and rigorously derived by this procedure. We carry out numerical simulations in two spatial dimensions. When the inherent spatio-temporal fluctuations are properly included, then complete chiral amplification results from a purely racemic initial configuration. Phase separation can also arise in which the enantiomers coexist in spatially segregated domains separated by a sharp racemic interface or boundary.

11 pages, 3 figures in color

References in corpus (3)

• Applications of Field-Theoretic Renormalization Group Methods to Reaction-Diffusion Problems
• `Real' vs `Imaginary' Noise in Diffusion-Limited Reactions
• Complex noise in diffusion-limited reactions of replicating and competing species

Cited by in corpus (5)

• A noise-induced mechanism for biological homochirality of early life self-replicators
• Stability of racemic and chiral steady states in open and closed chemical systems
• Homochirality and the need of energy
• Mirror symmetry breaking as a problem in dynamical critical phenomena
• Mirror symmetry breaking and restoration: the role of noise and chiral bias