# The limited roles of autocatalysis and enantiomeric cross inhibition in achieving homochirality in dilute systems

## TL;DR

This study uses Monte Carlo simulations to investigate how autocatalysis and enantiomeric cross-inhibition influence the emergence of homochirality in dilute systems, revealing their limited roles and the extensive steps needed without autocatalysis.

## Contribution

The paper demonstrates through simulations that autocatalysis and cross-inhibition have limited effectiveness in achieving homochirality, especially in dilute systems, requiring many reaction steps.

## Key findings

- Homochirality is hard to achieve without autocatalysis in dilute systems.
- Up to a billion reaction steps may be needed without autocatalysis.
- Bifurcation diagrams reveal parameter dependencies in the process.

## Abstract

To understand the effects of fluctuations on achieving homochirality, we employ a Monte-Carlo method where autocatalysis and enantiomeric cross-inhibition, as well as racemization and deracemization reactions are included. The results of earlier work either without autocatalysis or without cross-inhibition are reproduced. Bifurcation diagrams and the dependencies of the number of reaction steps on parameters are studied. In systems with 30,000 molecules, for example, up to a billion reaction steps may be needed to achieve homochirality without autocatalysis.