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Towards Arithmetic Circuits in Sub‐Excitable Chemical Media
Author(s) -
Adamatzky Andrew,
De Lacy Costello Ben,
Bull Larry,
Holley Julian
Publication year - 2011
Publication title -
israel journal of chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.908
H-Index - 54
eISSN - 1869-5868
pISSN - 0021-2148
DOI - 10.1002/ijch.201000046
Subject(s) - merge (version control) , cascade , chemistry , electronic circuit , arithmetic function , excitable medium , spiral wave , arithmetic , physics , classical mechanics , spiral (railway) , quantum mechanics , mathematical analysis , mathematics , computer science , parallel computing , chromatography
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.