全身颤抖：在不忽略波动的情况下证明Landauer原理
Shakin' All Over: Proving Landauer's Principle without neglect of fluctuations
摘要：
Landauer原理大致上是这样的原理，即存在与逻辑上不可逆的操作的实现相关联的熵成本。虽然在计算热力学的文献中被广泛接受，但在哲学文献中它一直是相当有争议的主题。这一原则的证据的说服力和它的相关性，如果它是真的，受到了质疑。特别是，有人认为，微尺度波动所带来的耗散总是大大超过兰道尔界。在这篇文章中，朗道的原则是治疗内统计力学，并证明，既不依赖于忽略的波动，也不假设的可用性的可逆过程。此外，有人认为，微尺度波动是没有障碍，近似热力学可逆性，因为接近一个人想
英文摘要：
Landauer's principle is, roughly, the principle that there is an entropic cost associated with implementation of logically irreversible operations. Though widely accepted in the literature on the thermodynamics of computation, it has been the subject of considerable dispute in the philosophical literature. Both the cogency of proofs of the principle and its relevance, should it be true, have been questioned. In particular, it has been argued that microscale fluctuations entail dissipation that always greatly exceeds the Landauer bound. In this article Landauer's principle is treated within statistical mechanics, and a proof is given that neither relies on neglect of fluctuations nor assumes the availability of thermodynamically reversible processes. In addition, it is argued that microscale fluctuations are no obstacle to approximating thermodynamic reversibility as closely as one would like
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