论文标题

非平衡反应网络中能量耗散的缩放

Scaling of Energy Dissipation in Nonequilibrium Reaction Networks

论文作者

Yu, Qiwei, Zhang, Dongliang, Tu, Yuhai

论文摘要

非平衡反应系统中的能量耗散速率可以由基础反应网络中的反应速率确定。通过在状态空间中开发粗粒的过程和反应速率的相应的重新规定程序,我们发现能量耗散速率对在粗粒状状态下的微观状态数量具有反向驱动率。耗散缩放定律需要基础网络的自相似性,并且缩放指数取决于网络结构和通量相关性。讨论了这种反耗散缩放定律对活动流动系统(例如微管 - 运动蛋白混合物)的影响。

The energy dissipation rate in a nonequilibirum reaction system can be determined by the reaction rates in the underlying reaction network. By developing a coarse-graining process in state space and a corresponding renormalization procedure for reaction rates, we find that energy dissipation rate has an inverse power-law dependence on the number of microscopic states in a coarse-grained state. The dissipation scaling law requires self-similarity of the underlying network, and the scaling exponent depends on the network structure and the flux correlation. Implications of this inverse dissipation scaling law for active flow systems such as microtubule-kinesin mixture are discussed.

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