Probing the Discriminatory role of Non-Equilibrium effects in the Emergence of Biological Homochirality by Considering Quantum Constraints

Emergence of biological homochirality is an everlasting mystery in the history of interdisciplinary researches. In this work, the discriminatory role of non-equilibrium effects in the emergence of chiral configurations of biological conformers is discussed. Based on the theory of open quantum system a Born-Markov master equation is derived for the analysis of chiral weights when the chiral molecule interacts with two environments at different temperatures, simultaneously. It is shown that interaction of a chiral molecule with non-equilibrium environments, results in discrimination of specific handedness for both of possible configuration that depends on characteristics of the environments. Real chiral chromophores for which experimental results are available, have been examined under the proposed theoretical framework.