聖塔非研究所

摘要 We investigate bounds on the 熵 production (EP) an

2020 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 We investigate bounds on the 熵 production (EP) and extractable work involved in transforming a system from some initial distribution p to some final distribution p′, given the driving pro…

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  • 類型:已發表論文
  • 日期:2020

摘要

We investigate bounds on the 熵 production (EP) and extractable work involved in transforming a system from some initial distribution p to some final distribution p′, given the driving protocol constraint that the dynamical generators belong to some fixed set. We first show that, for any operator φ over distributions that (1) obeys the Pythagorean theorem from 資訊 geometry and (2) commutes with the set of available dynamical generators, the contraction of KL divergence D(p∥φ(p)) − D(p′∥φ(p′)) provides a non-negative lower bound on EP. We also derive a bound on extractable work, as well as a decomposition of the non-equilibrium free energy into an “accessible free energy” (which can be extracted as work) and “inaccessible free energy” (which must be dissipated as EP). We use our general resul

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