We propose a connection between the butterfly velocity and the complexity growth rate in the context of thermodynamics of black holes where the cosmological constant is interpreted as thermodynamic pressure. According to the Smarr formula of black hole systems, there are different relations between butterfly velocity and complexity growth rate. The accuracy of this relationship has been checked for several models.

中文翻译：

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复杂性增长、蝴蝶速度和黑洞热力学

我们提出了在黑洞热力学背景下蝴蝶速度与复杂性增长率之间的联系，其中宇宙常数被解释为热力学压力。根据黑洞系统的 Smarr 公式，蝴蝶速度与复杂度增长率之间存在不同的关系。已经针对多个模型检查了这种关系的准确性。