Temporary mirror symmetry breaking and chiral excursions in open and closed systems

Celia Blanco; Michael Stich; David Hochberg

doi:10.1016/j.cplett.2011.02.032

Temporary mirror symmetry breaking and chiral excursions in open and closed systems

Celia Blanco
, Michael Stich
, David Hochberg^*

^*Corresponding author for this work

Instituto Nacional de Técnica Aeroespacial

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

48 Downloads (Pure)

Abstract

The reversible Frank model is capable of amplifying the initial small statistical deviations from the idealized racemic composition. This temporary amplification can be interpreted as a chiral excursion in a dynamic phase space. It is well known that if the system is open to matter and energy exchange, a permanently chiral state can be reached asymptotically, while the final state is necessarily racemic if the system is closed. In this work, we combine phase space analysis, stability analysis and numerical simulations to study the initial chiral excursions and determine how they depend on whether the system is open, semi-open or closed.

Original language	English
Pages (from-to)	140-147
Number of pages	8
Journal	Chemical Physics Letters
Volume	505
Issue number	4-6
Early online date	16 Feb 2011
DOIs	https://doi.org/10.1016/j.cplett.2011.02.032
Publication status	Published - 30 Mar 2011

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10.1016/j.cplett.2011.02.032

Temporary mirror symmetry breaking and chiral excursions in open and closed systems
© 2011, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Accepted author manuscript, 290 KBLicence: CC BY-NC-ND 3.0

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AU - Hochberg, David

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N2 - The reversible Frank model is capable of amplifying the initial small statistical deviations from the idealized racemic composition. This temporary amplification can be interpreted as a chiral excursion in a dynamic phase space. It is well known that if the system is open to matter and energy exchange, a permanently chiral state can be reached asymptotically, while the final state is necessarily racemic if the system is closed. In this work, we combine phase space analysis, stability analysis and numerical simulations to study the initial chiral excursions and determine how they depend on whether the system is open, semi-open or closed.

AB - The reversible Frank model is capable of amplifying the initial small statistical deviations from the idealized racemic composition. This temporary amplification can be interpreted as a chiral excursion in a dynamic phase space. It is well known that if the system is open to matter and energy exchange, a permanently chiral state can be reached asymptotically, while the final state is necessarily racemic if the system is closed. In this work, we combine phase space analysis, stability analysis and numerical simulations to study the initial chiral excursions and determine how they depend on whether the system is open, semi-open or closed.

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JO - Chemical Physics Letters

JF - Chemical Physics Letters

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ER -

Temporary mirror symmetry breaking and chiral excursions in open and closed systems

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