Mathematical Models of Chiral Symmetry-breaking – A Review of General Theories, and Adiabatic Approximations of the APED System

Diniz, Priscila C; Wattis, Jonathan A.D.; Da Costa, Fernando P

Abstract

We review the literature surrounding chiral symmetry-breaking in chemical systems, with a focus on understanding the mathematical models underlying these chemical processes. We comment in particular on the toy model of Sandars, Viedma’s crystal grinding systems and the APED model. We include a few new results based on asymptotic analysis of the APED system.

Citation

Diniz, P. C., Wattis, J. A., & Da Costa, F. P. (2022). Mathematical Models of Chiral Symmetry-breaking – A Review of General Theories, and Adiabatic Approximations of the APED System. Origins of Life and Evolution of Biospheres, 52(4), 183-204. https://doi.org/10.1007/s11084-022-09631-w

• Journal Article Type: Article
• Acceptance Date: Oct 17, 2022
• Online Publication Date: Nov 23, 2022
• Publication Date: 2022-12
• Deposit Date: Nov 18, 2022
• Publicly Available Date: Nov 24, 2022
• Journal: Origins of Life and Evolution of Biospheres
• Print ISSN: 0169-6149
• Electronic ISSN: 1573-0875
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 52
• Issue: 4
• Pages: 183-204
• DOI: https://doi.org/10.1007/s11084-022-09631-w
• Keywords: Origins of Life; Homochirality; APED; Mathematical Models; bifurcation theory
• Public URL: https://nottingham-repository.worktribe.com/output/13752956
• Publisher URL: https://link.springer.com/article/10.1007/s11084-022-09631-w