We review the existing mathematical models which describe physicochemical mechanisms capable of producing a symmetry-breaking transition to a state in which one chirality dominates the other. A new model is proposed, with the aim of elucidating the fundamental processes at work in the crystal grinding systems of Viedma [Phys Rev Lett 94, 065504, (2005)] and Noorduin [J Am Chem Soc 130, 1158, (2...

this study historically analyzes the scientific output of mathematics to describe its structure, notions and scientific origin using the historiographical method. the research data consisted of scientific outputs of mathematics in isi database, science citation index (sci) and social science citation index (ssci) during 8 years (1990 to 2007). the data collection tool was the search engine and ...

für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...

This new book by Frank A. Farris, professor of mathematics at Santa Clara University, is a comprehensive introduction to the mathematics of symmetry. Symmetry has long provided a connection between mathematics and the visual arts. This book distinguishes itself from other treatments of the subject (e.g., [9], [5], and [1]) by its detailed descriptions of exactly how one creates new artistic des...

1.1. This article surveys some developments in pure mathematics which have, to varying degrees, grown out of the ideas of gauge theory in Mathematical Physics. The realisation that the gauge fields of particle physics and the connections of differential geometry are one and the same has had wide-ranging consequences, at different levels. Most directly, it has lead mathematicians to work on new ...

In many examples of repeating patterns in the art of various cultures, the use of symmetries to analyze those patterns does a good job of capturing the repetition intended by the artist. In other cases, however, the artist uses precise forms of repetition that are not well modeled by mathematical symmetries. The analysis of the orbits of motifs under the action of the symmetry group both reveal...

TO SYMMETRIC VARIATIONAL PROBLEMS Giuseppe Gaeta Department of Mathematical Sciences Loughborough University of Technology Loughborough LE11 3TU (England) [email protected] Summary By combining the Michel's geometric theory of symmetry breaking and classical result from variational analysis, we obtain a lower bound on critical points with given symmetry H G of a potential symmetric under G. The...