Information geometry, trade-off relations, and generalized Glansdorff-Prigogine criterion for stability
Information geometry, trade-off relations, and generalized Glansdorff-Prigogine criterion for stability
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DOI：
10.1088/1751-8121/ac3fc2
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发表时间：
2019-08
期刊：
影响因子：
--
通讯作者：
Sosuke Ito
中科院分区：
文献类型：
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作者：
Sosuke Ito
我们讨论了信息几何和Glansdorff-Prigogine稳定性准则之间的关系。对于线性主方程，我们发现了线元与超熵产生率之间的关系。这种关系导致了一个新的视角在非平衡稳定状态的稳定性。我们还推广了基于信息几何的Glansdorff-Prigogine稳定性准则。我们的信息几何准则的稳定性工作以及非线性主方程，Glansdorff-Prigogine准则的稳定性不工作。我们推导出一个权衡之间的关系的波动的可观察的，平均变化的可观察的，和内在的速度。我们还得到了一个新的热力学权衡之间的过剩熵产生率和固有速度的关系。这些权衡关系提供了我们的信息几何稳定性标准的物理解释。我们说明了我们的信息几何稳定性标准的自催化反应模型，动力学驱动的非线性主方程。
We discuss a relationship between information geometry and the Glansdorff-Prigogine criterion for stability. For the linear master equation, we found a relation between the line element and the excess entropy production rate. This relation leads to a new perspective of stability in a nonequilibrium steady-state. We also generalize the Glansdorff-Prigogine criterion for stability based on information geometry. Our information-geometric criterion for stability works well for the nonlinear master equation, where the Glansdorff-Prigogine criterion for stability does not work well. We derive a trade-off relation among the fluctuation of the observable, the mean change of the observable, and the intrinsic speed. We also derive a novel thermodynamic trade-off relation between the excess entropy production rate and the intrinsic speed. These trade-off relations provide a physical interpretation of our information-geometric criterion for stability. We illustrate our information-geometric criterion for stability by an autocatalytic reaction model, where dynamics are driven by a nonlinear master equation.