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摘要翻译：
电流守恒和电荷守恒几乎是一回事：例如，在理想介质中，当对电荷运动有足够的了解时，电流守恒可以从电荷守恒导出。在理想电介质中，电流守恒被电荷守恒理论所隐含。但是像半导体或离子溶液这样的真实材料中的电荷运动从来都不是理想的。我们提出了电流守恒定律的一个明显普遍的推导，并主张将该守恒定律明确地作为复杂流体和环境中电荷运动的理论和计算的一个独特的部分。经典的常微分方程模型很少满足电流守恒，包括采用质量作用定律的化学动力学模型和马尔可夫模型。如果要保护电流，必须对这些模型进行修正。严格执行电流守恒可能通过防止伪电荷积累来帮助数值分析。
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英文标题：
《Conservation of Charge and Conservation of Current》
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作者：
Bob Eisenberg
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最新提交年份：
2016
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分类信息：
一级分类：Quantitative Biology 数量生物学
二级分类：Other Quantitative Biology 其他定量生物学
分类描述：Work in quantitative biology that does not fit into the other q-bio classifications
不适合其他q-bio分类的定量生物学工作
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英文摘要：
Conservation of current and conservation of charge are nearly the same thing: when enough is known about charge movement, conservation of current can be derived from conservation of charge, in ideal dielectrics, for example. Conservation of current is enforced implicitly in ideal dielectrics by theories that conserve charge. But charge movement in real materials like semiconductors or ionic solutions is never ideal. We present an apparently universal derivation of conservation of current and advocate using that conservation law explicitly as a distinct part of theories and calculations of charge movement in complex fluids and environments. Classical models using ordinary differential equations rarely satisfy conservation of current, including the chemical kinetic models implementing the law of mass action and Markov models. These models must be amended if they are to conserve current. Strict enforcement of conservation of current is likely to aid numerical analysis by preventing artifactual accumulation of charge.
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PDF链接：
https://arxiv.org/pdf/1609.09175
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