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极长时间和空间尺度下的热力学

Thermodynamics at Very Long Time and Space Scales.

作者信息

Andresen Bjarne, Essex Christopher

机构信息

Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark.

Department of Applied Mathematics, The University of Western Ontario, London, ON N6A 5B7, Canada.

出版信息

Entropy (Basel). 2020 Sep 28;22(10):1090. doi: 10.3390/e22101090.

Abstract

Any observation, and hence concept, is limited by the time and length scale of the observer and his instruments. Originally, we lived on a timescale of minutes and a length scale of meters, give or take an order of magnitude or two. Therefore, we devloped laboratory sized concepts, like volume, pressure, and temperature of continuous media. The past 150 years we managed to observe on the molecular scale and similarly nanoseconds timescale, leading to atomic physics that requires new concepts. In this paper, we are moving in the opposite direction, to extremely large time and length scales. We call this regime "slow time". Here, we explore which laboratory concepts still apply in slow time and which new ones may emerge. E.g., we find that temperature no longer exists and that a new component of entropy emerges from long time averaging of other quantities. Just as finite-time thermodynamics developed from the small additional constraint of a finite process duration, here we add a small new condition, the very long timescale that results in a loss of temporal resolution, and again look for new structure.

摘要

任何观察,进而任何概念,都受到观察者及其仪器的时间和长度尺度的限制。最初,我们生活在以分钟为单位的时间尺度和以米为单位的长度尺度上,或多或少相差一两个数量级。因此,我们发展出了实验室规模的概念,比如连续介质的体积、压力和温度。在过去的150年里,我们成功地在分子尺度以及类似的纳秒时间尺度上进行观察,这催生了需要新的概念的原子物理学。在本文中,我们正朝着相反的方向前进,即走向极其大的时间和长度尺度。我们将这个领域称为“慢时间”。在这里,我们探究哪些实验室概念在慢时间里仍然适用,以及可能会出现哪些新的概念。例如,我们发现温度不再存在,并且熵的一个新组分从其他量的长时间平均中出现。正如有限时间热力学是从有限过程持续时间这个小的附加约束发展而来的一样,在这里我们添加一个小的新条件,即导致时间分辨率丧失的非常长的时间尺度,然后再次寻找新的结构。

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