AI 中文总结
该研究在随机首次通过时间热力学框架下，将其应用于过热液体爆炸沸腾问题，推导非局部熵产生积分公式，计算临界指数，发现给定时刻耗散由物质流积分历史决定，描述了动力学灾难及原理违反情况。
AI 中文摘要
在随机首次通过时间热力学（TFPT）和幂律分布（米塔格 - 莱夫勒和列维）框架内，证实了分数阶卡普托导数在流体动力学方程中的出现。所开发的框架应用于过热液体的爆炸沸腾问题：推导了非局部熵产生的积分公式，计算了耗散强度的临界指数，以及引入外部压力时这些参数的定性变化。发现给定时刻的耗散严格由宏观物质流J(t)在直至相爆炸时刻的整个演化区间上的积分历史决定。计算出的临界耗散指数z严格描述了动力学灾难以及在旋节线附近普里戈金最小熵产生原理的违反。
英文摘要
Within the framework of stochastic first-passage time thermodynamics (TFPT) and power-law distributions (Mittag-Leffler and Levy), the appearance of fractional Caputo derivatives in hydrodynamic equations is substantiated. The developed framework is applied to the problem of explosive boiling of a superheated liquid: an integral formula for nonlocal entropy production is derived and the critical index of dissipation intensity is calculated, along with qualitative changes in these parameters upon introducing external pressure. It is found that dissipation at a given instant is strictly determined by the integral history of the macroscopic matter flow J(t) over the entire evolutionary interval up to the moment of phase explosion. The calculated critical dissipation index z strictly describes the kinetic catastrophe and the violation of Prigogine's minimum entropy production principle near spinodals.
Comments29 pages
