Abstract
We study a possibility for chiral symmetry breaking to take place without autocatalytic process in an open system. Our model consists of an inflow of enantiomers and outflow of heterogeneous dimers from the system, which corresponds to the Frank model without autocatalysis. It is demonstrated analytically as well as numerically that the rate equations for this system does not predict any kind of symmetry breaking but the stochastic master equation predicts that the system approaches asymptotically a homochiral state. This is caused by the fluctuations induced by the discreteness of population numbers of enantiomers in their perpetual flow. It is argued that this scenario can be effective for a very small open system and could be a candidate for an initial chiral imbalance.
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