Yakovlev Alex
School of Engineering, Newcastle University, Newcastle upon Tyne, UK
Philos Trans A Math Phys Eng Sci. 2018 Oct 29;376(2134):20170449. doi: 10.1098/rsta.2017.0449.
In his seminal , Oliver Heaviside stated 'We reverse this …' referring to the relationship between energy current and state changes in electrical networks. We explore implications of Heaviside's view upon the state changes in electronic circuits, effectively constituting computational processes. Our vision about energy-modulated computing that can be applicable for electronic systems with energy harvesting is introduced. Examples of analysis of computational circuits as loads on power sources are presented. We also draw inspiration from Heaviside's way of using and advancing mathematical methods from the needs of natural physical phenomena. A vivid example of Heavisidian approach to the use of mathematics is in employing series where they emerge out of the spatio-temporal view upon energy flows. Using expressions, and types of natural discretization in space and time, we explain the processes of discharging a capacitive transmission line, first, through a constant resistor and, second, through a voltage controlled digital circuit. We show that event-based models, such as Petri nets with an explicit notion of causality inherent in them, can be instrumental in creating bridges between electromagnetics and computing.This article is part of the theme issue 'Celebrating 125 years of Oliver Heaviside's 'Electromagnetic Theory''.
在其具有开创性的著作中,奥利弗·亥维赛指出“我们将此颠倒过来……”,指的是电网中能量流与状态变化之间的关系。我们探讨了亥维赛观点对电子电路状态变化的影响,这些变化实际上构成了计算过程。我们介绍了关于能量调制计算的愿景,这种计算可应用于具有能量收集功能的电子系统。文中给出了将计算电路作为电源负载进行分析的示例。我们还从亥维赛根据自然物理现象的需求运用和推进数学方法的方式中汲取灵感。亥维赛运用数学方法的一个生动例子是,当级数从能量流的时空视角中出现时,他就会使用级数。通过使用表达式以及空间和时间中的自然离散化类型,我们首先解释了电容性传输线通过恒定电阻放电的过程,其次解释了通过压控数字电路放电的过程。我们表明,基于事件的模型,如具有内在因果关系明确概念的Petri网,有助于在电磁学和计算之间架起桥梁。本文是“庆祝奥利弗·亥维赛的《电磁理论》发表125周年”主题特刊的一部分。