Amino acid chiral amplification using Monte Carlo dynamic

Abstract

The present work focuses on the processes of chiral amplification that lead to the rapid growth of the enantiomeric excess in a solution, utilizing a lattice model and a suitable Glauber dynamics. The initial conditions stem from a racemic mixture or points near the racemic state. The aim is to understand the effect of some variables such as temperature, concentration and constants that define the interaction energies in the equilibrium concentration after the dynamic evolution of the system. Dynamic evolution involves a path towards phase equilibrium in a D-L-S system, where D and L represent opposite chiral molecules and S represents their poorly soluble solvent. Our results, pertaining to the phase equilibrium of the D-L-S system employing amino acids, faithfully reproduce several experimentally observed outcomes documented in the literature. Through simulations, we may understand how the system evolved over time, starting from a random configuration and moving toward an equilibrium state with the lowest possible potential energy. We were able to recreate phase diagrams that were strikingly close to those obtained experimentally by specifying an appropriate Glauber dynamics for the system. Finally, we will discuss some findings from the dynamics of the chiral amplification processes that were modeled.