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Why Ergodic Theory Does Not Explain the Success of Equilibrium Statistical Mechanics

机译:为什么遍历理论不能解释平衡统计力学的成功

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摘要

We argue that, contrary to some analyses in the philosophy of science literature, ergodic theory falls short in explaining the success of classical equilibrium statistical mechanics. Our claim is based on the observations that dynamical systems for which statistical mechanics works are most likely not ergodic, and that ergodicity is both too strong and too weak a condition for the required explanation: one needs only ergodic-like behaviour for the finite set of observables that matter, but the behaviour must ensure that the approach to equilibrium for these observables is on the appropriate time-scale.
机译:我们认为,与科学文献哲学中的某些分析相反,遍历理论不足以解释经典均衡统计力学的成功之处。我们的主张基于以下观察结果:统计力学所针对的动力学系统最有可能不是遍历遍历的,而遍历遍历太强又太弱,无法满足要求的解释:对于一个有限的集合,只需要类似于遍历的行为即可。重要的是可观察物,但是行为必须确保这些可观察物达到平衡的方法在适当的时间尺度上。

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