Landauer principle and the second law in a relativistic communication scenario

Abstract

The problem of formulating thermodynamics in a relativistic scenario remains unresolved, although many proposals exist in the literature. The challenge arises due to the intrinsic dynamic structure of spacetime as established by the general theory of relativity. With the discovery of the physical nature of information, which underpins Landauer's principle, we believe that information theory should play a role in understanding this problem. In this work, we contribute to this endeavor by considering a relativistic communication task between two partners, Alice and Bob, in a general Lorentzian spacetime. We then assume that the receiver, Bob, reversibly operates a local heat engine powered by information, and seek to determine the maximum amount of work he can extract from this device. Since Bob cannot extract work for free, by applying both Landauer's principle and the second law of thermodynamics, we establish a bound on the energy Bob must spend to acquire the information in the first place. This bound is a function of the spacetime metric and the properties of the communication channel.

References in corpus (18)

• Thermodynamics of Spacetime: The Einstein Equation of State
• Thermodynamical Aspects of Gravity: New insights
• Non-equilibrium Thermodynamics of Spacetime
• High-precision test of Landauer's principle in a feedback trap
• Second law and Landauer principle far from equilibrium
• An improved Landauer Principle with finite-size corrections
• A non-equilibrium quantum Landauer principle
• Experimental demonstration of information to energy conversion in a quantum system at the Landauer Limit
• Thermal time and the Tolman-Ehrenfest effect: temperature as the "speed of time"
• Generalising Landauer's Principle
• Validity of Landauer's principle in the quantum regime
• Nonperturbative approach to relativistic quantum communication channels
• Landauer's principle at zero temperature
• General relativistic statistical mechanics
• Nonlocal observables and lightcone-averaging in relativistic thermodynamics
• Beyond Landauer erasure
• The irreversibility of relativistic time-dilation
• Distinguishing pure and thermal states by Landauer's principle in open systems