Second-law-like inequalities with information and their interpretations

作者：Horowitz Jordan M^*; Sandberg Henrik

来源：New Journal of Physics, 2014, 16(12): 125007.

DOI：10.1088/1367-2630/16/12/125007

• nonequilibrium thermodynamics
• feedback
• information theory
• optimal control theory

In a thermodynamic process with measurement and feedback, the second law of thermodynamics is no longer valid. In its place, various second-law-like inequalities have been advanced that each incorporate a distinct additional term accounting for the information gathered through measurement. We quantitatively compare a number of these information measures using an analytically tractable model for the feedback cooling of a Brownian particle. We find that the information measures form a hierarchy that reveals a web of interconnections. To untangle their relationships, we address the origins of the information, arguing that each information measure represents the minimum thermodynamic cost to acquire that information through a separate, distinct measurement procedure.

• 出版日期2014-12-10