Towards arithmetic circuits in sub-excitable chemical media

Adamatzky, Andrew; De Lacy Costello, Ben; Bull, Larry; Holley, Julian

Abstract

A sub-excitable Belousov-Zhabotinsky medium exhibits localized travelling excitations (in contrast to an excitable medium exhibiting target or spiral waves). Initially assymetric perturbations give birth to excitation wave-fragments. The shape and velocity vectors of the wave-fragments are conserved, meaning they can travel for substantial distances in the reaction media. When the wave-fragments collide they may reflect, merge, or annihilate. We interpret wave-fragments as values of logical variables, and the post-collision states of the fragments as outputs of logical gates. We show how to cascade logical gates in primitive arithmetical circuits. Copyright © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

• Journal Article Type: Review
• Publication Date: Jan 1, 2011
• Journal: Israel Journal of Chemistry
• Print ISSN: 0021-2148
• Electronic ISSN: 1869-5868
• Publisher: Wiley-VCH Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 51
• Issue: 1
• Pages: 56-66
• DOI: https://doi.org/10.1002/ijch.201000046
• Keywords: wave fragments,systems, motion, Belousov-Zhabotinsky reaction, excitable chemical medium, collision-based computing, nonequilibrium processes, computational chemistry
• Public URL: https://uwe-repository.worktribe.com/output/965410
• Publisher URL: http://www.wiley-vch.de/publish/en/