论文标题
非平衡化学反应网络和广义熵产生分解的几何形状
Geometry of Nonequilibrium Chemical Reaction Networks and Generalized Entropy Production Decompositions
论文作者
论文摘要
我们在凸出耗散函数的legendre二元性诱导的通量和力空间上得出了非平衡化学反应网络（CRN）的Hessian几何结构，并将其动力学表征为广义流动。使用这种结构，我们可以将具有二次耗散函数的非平衡系统的理论扩展到具有非二次耗散函数的理论，这对于研究化学反应网络至关重要。通过将Hessian几何形状的正交性的广义概念应用于化学反应网络，我们获得了两个熵产生速率的广义分解，每个分解速率均可捕获非平衡动力学中的梯度流量和最小散射方面。
We derive the Hessian geometric structure of nonequilibrium chemical reaction networks (CRN) on the flux and force spaces induced by the Legendre duality of convex dissipation functions and characterize their dynamics as a generalized flow. With this structure, we can extend theories of nonequilibrium systems with quadratic dissipation functions to more general ones with nonquadratic ones, which are pivotal for studying chemical reaction networks. By applying generalized notions of orthogonality in Hessian geometry to chemical reaction networks, we obtain two generalized decompositions of the entropy production rate, each of which captures gradient-flow and minimum-dissipation aspects in nonequilibrium dynamics.
