论文标题
反应扩散的现场理论：具有能量变异方法的质量作用
Field Theory of Reaction-Diffusion: Mass Action with an Energetic Variational Approach
论文作者
论文摘要
我们扩展了能量变异方法，因此可以应用于具有一般质量作用动力学的化学反应系统。我们的方法始于能量隔离法。我们表明，化学平衡取决于自由能的选择，化学反应的动力学取决于耗散的选择。这种方法使我们能够将化学反应与其他效果（例如电场中的扩散和漂移）进行磨合。作为例证，我们将方法应用于特定但规范的设置中的非平衡反应扩散系统。我们通过数值模拟显示，此类系统的输入输出关系取决于耗散的选择。
We extend the energetic variational approach so it can be applied to a chemical reaction system with general mass action kinetics. Our approach starts with an energy-dissipation law. We show that the chemical equilibrium is determined by the choice of the free energy and the dynamics of the chemical reaction is determined by the choice of the dissipation. This approach enables us to couple chemical reactions with other effects, such as diffusion and drift in an electric field. As an illustration, we apply our approach to a non-equilibrium reaction-diffusion system in a specific but canonical set-up. We show by numerical simulation that the input-output relation of such a system depends on the choice of the dissipation.
