Brownian dynamics of self-regulated particles with additional degrees of freedom: Symmetry breaking and homochirality

Physical Review. E
Debankur BhattacharyyaDeb Shankar Ray

Abstract

We consider the Brownian motion of a collection of particles each with an additional degree of freedom. The degree of freedom of a particle (or, in general, a molecule) can assume distinct values corresponding to certain states or conformations. The time evolution of the additional degree of freedom of a particle is guided by those of its neighbors as well as the temperature of the system. We show that the local averaging over these degrees of freedom results in emergence of a collective order in the dynamics in the form of selection or dominance of one of the isomers leading to a symmetry-broken state. Our statistical model captures the basic features of homochirality, e.g., autocatalysis and chiral inhibition.

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Citations

Sep 27, 2018·Physical Chemistry Chemical Physics : PCCP·Tanwi Debnath, Pulak Kumar Ghosh
Feb 20, 2020·Physical Review. E·Shibashis PaulDeb Shankar Ray
Jul 10, 2021·The Journal of Chemical Physics·Rafna Rafeek, Debasish Mondal

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