A stochastic chiral amplification model

Abstract

A stochastic version of Mason s modification of the Frank chiral amplification model is examined. The initial state of the system is chosen to be strictly racemic. Nevertheless, the system always evolves to a monochiral terminal state. Two characteristic times are considered: the separation time t0 – the moment after which the sign of the enantiomeric excess remains unchanged, and the parting time tp – the moment when the enantiomeric excess reaches 1% of its final value. Whereas tp depends (in average) linearly on the logarithm of the magnitude n of the fluctuations of the respective rate constants, the separation times are (in average) independent of n.