Topics in the mathematical design of materials
Creators
- 1. Department of Mechanical and Aerospace Engineering, Hong Kong University of Science and Technology, Pokfulam, Hong Kong
- 2. Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213, USA
- 3. University of Ljubljana, Jadranska, 19, 1000 Ljubljana, Slovenia; Jozef Stefan Insitute, Jamova cesta, 39, 1000 Ljubljana, Slovenia
- 4. School of Mathematics, University of Bristol, Bristol BS8 1TW, UK
- 5. Dipartimento di Chimica Industriale 'Toso Montanari' and INSTM, Università di Bologna, Viale Risorgimento, 4, 40136 Bologna, Italy
- 6. BCAM, Basque Center for Applied Mathematics, Alameda Mazarredo, 14 Bilbao 48009, Spain; IKERBASQUE, Basque Foundation for Science, Plaza Euskadi, 5 48009 Bilbao, Bizkaia, Spain; 'Simion Stoilow' Institute of the Romanian Academy, 21 Calea Grivitei, 010702 Bucharest, Romania
Description
We present a selected review and research perspective on several current research directions relevant to the mathematical design of new materials. We discuss: (i)design problems for phase-transforming and shape-morphing materials, (ii) epitaxy as an approach of central importance in the design of advanced semiconductor materials, (iii) selected design problems in soft matter, (iv) some open problems in liquid crystals and soft materials, and (v) mathematical problems on liquid crystal colloids. The work combines topics from soft and hard condensed matter, with specific focus on themes and ideas where material design shows to be of clear relevance, and moreover -more formal, mathematical- approaches could possibly lead to exciting progress.
Notes
Files
Chen 2021 - Philos. Trans. R. Soc. A.pdf
Files
(333.4 kB)
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