H函数与熵之间的差异:对硬球气体严格建立的玻尔兹曼方程的洞察
Discrepancy between the H-Function and Entropy: Insights into the rigorously established Boltzmann equation for hard-sphere gases
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中文总结 AI 辅助
本研究探究H函数与熵演化差异的起源,阐明在玻尔兹曼-格拉德极限下的硬球气体玻尔兹曼方程中,H函数不能作为有效的时间箭头判据。
中文摘要 AI 辅助
通过研究H函数与熵之间演化差异的起源,我们阐明:在玻尔兹曼-格拉德极限下,针对硬球气体模型严格推导的玻尔兹曼方程中,H函数无法作为有效的时间箭头判据。
英文摘要
By investigating the origin of the evolutionary discrepancy between the H-function and entropy, we elucidate that the H-function fails to serve as a valid arrow-of-time criterion in the rigorously derived Boltzmann equation for the hard-sphere gas model under the Boltzmann-Grad limit.