DYNAMICAL LOGICAL CIRCUITS IN SUBEXCITABLE CHEMICAL MEDIA Pilot project: PhD Studentship in Collision-Based Computing in Excitable Media

我们正在为两个博士研究生职位寻求资助，旨在跨学科研究，非经典计算的知识转移和培训，在新颖和自然启发的计算范式和架构之间的边界出现的科学领域，以及非线性化学和物理。我们将探索局部移动激励模式的复杂行为和交互动力学，以设计无架构计算设备的工作原型。我们通过实验证明，具有固定催化剂的Belousov-Zhabotinsky （BZ）介质中的激发波片段可用于构建基本逻辑门和电路，并可用于模拟某些类型的数学机器。我们用波浪碎片的存在/不存在或结构来表示变量的信息值。由于波片与其他波片的碰撞，波片可能会湮灭、融合、分裂并改变其速度矢量，从而使波片所表示的变量值发生变化，从而实现一定的逻辑运算和信息处理运算。我们的目标是在理论上设计和实验上构建一个基于可激发化学反应的通用碰撞大规模并行处理器，其中旅行局域激励的时空动力学实现嵌入式逻辑和算术电路和数学机器。

We are seeking fuding for two PhD studentship positions aimed for interdisciplinary research, knowledge transfer and training in non-classical computation, the field of science emerging at the boundary between novel and nature-inspired computing paradigms and architectures, and non-linear chemistry and physics. We will explore complex behaviour and interaction dynamics of localised mobile excitation patterns to design working prototypes of architectureless computing devices. 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, and to simulate certain classes of mathematical machines. We represent information values of variables by the presence/absence or structure of wave-fragments. The wave-fragments may annihilate, fuse, split and change their velocity vectors as a result of collision with other wave-fragments --- thus the values of variables represented by the wave-fragments change and certain logical operations and information processing operations are implemented. We aim to theoretically design and experimentally build a universal collision-based massively-parallel processor based on excitable chemical reactions, where the space-time dynamics of travelling localised excitations realise embedded logical and arithmetical circuits and mathematical machines.