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Experimental implementation of collision-based gates in Belousov–Zhabotinsky medium

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  • De Lacy Costello, Benjamin
  • Adamatzky, Andrew

Abstract

We experimentally demonstrate that excitation wave-fragments in a Belousov–Zhabotinsky (BZ) medium with immobilised catalyst can be used to build elementary logical gates and circuits. Following our previous theoretical constructions [Adamatzky A. Collision-based computing in Belousov Zhabotinsky medium. Chaos, Solitons & Fractals 2004;21:1259–64] on embedding logical schemes in BZ medium, we represent True/False values of logical variables by presence/absence of wave-fragments. We show that when wave-fragments collide with each other they may annihilate, fuse, split and change their velocity vectors. Thus the values of logical variables represented by the wave-fragments change and certain logical operations are implemented. In the paper we provide examples of experimental logical gates, and present pioneer results in dynamic, architectureless computing in excitable reaction–diffusion systems.

Suggested Citation

  • De Lacy Costello, Benjamin & Adamatzky, Andrew, 2005. "Experimental implementation of collision-based gates in Belousov–Zhabotinsky medium," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 535-544.
    • Handle: RePEc:eee:chsofr:v:25:y:2005:i:3:p:535-544
    DOI: 10.1016/j.chaos.2004.11.056
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    References listed on IDEAS

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    1. Motoike, Ikuko N. & Adamatzky, Andrew, 2005. "Three-valued logic gates in reaction–diffusion excitable media," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 107-114.
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    Cited by:

    1. Zhang, Liang & Adamatzky, Andrew, 2009. "Collision-based implementation of a two-bit adder in excitable cellular automaton," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1191-1200.
    2. Peng, Zhen & Adam, Zachary R., 2024. "Two mechanisms for the spontaneous emergence, execution, and reprogramming of chemical logic circuits," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    3. Adamatzky, Andrew & Wuensche, Andrew & De Lacy Costello, Benjamin, 2006. "Glider-based computing in reaction-diffusion hexagonal cellular automata," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 287-295.
    4. Soun, L. & Alfaro-Bittner, K. & Clerc, M.G. & Barbay, S., 2022. "Computing using pulse collisions in lattices of excitable microlasers," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    5. Toth, Rita & Stone, Christopher & Adamatzky, Andrew & de Lacy Costello, Ben & Bull, Larry, 2009. "Experimental validation of binary collisions between wave fragments in the photosensitive Belousov–Zhabotinsky reaction," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1605-1615.
    6. Adamatzky, Andrew, 2009. "Localizations in cellular automata with mutualistic excitation rules," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 981-1003.
    7. Adamatzky, Andrew & Costello, Benjamin de Lacy, 2007. "Binary collisions between wave-fragments in a sub-excitable Belousov–Zhabotinsky medium," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 307-315.

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    1. Soun, L. & Alfaro-Bittner, K. & Clerc, M.G. & Barbay, S., 2022. "Computing using pulse collisions in lattices of excitable microlasers," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    2. Toth, Rita & Stone, Christopher & Adamatzky, Andrew & de Lacy Costello, Ben & Bull, Larry, 2009. "Experimental validation of binary collisions between wave fragments in the photosensitive Belousov–Zhabotinsky reaction," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1605-1615.

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