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Landauer Principle and the Second Law in a Relativistic Communication Scenario
Yuri J Alvim1, Lucas C Céleri1
1QPequi Group, Institute of Physics, Federal University of Goiás, Goiânia 74690-900, Goiás, Brazil.
Entropy (Basel, Switzerland)
|July 26, 2024
Summary
This study integrates information theory with relativistic thermodynamics to establish a work bound for information acquisition. It quantifies the energy cost for acquiring information in relativistic communication scenarios.
Area of Science:
- Relativistic thermodynamics
- Information theory
- General relativity
Background:
- Formulating thermodynamics in relativistic scenarios is an unresolved challenge due to spacetime dynamics.
- The physical nature of information and Landauer's principle suggest a role for information theory.
Purpose of the Study:
- To explore the connection between information theory and relativistic thermodynamics.
- To determine the maximum work extractable by a receiver operating a heat engine powered by information in a relativistic setting.
Main Methods:
- Considered a relativistic communication task between two parties in a general Lorentzian spacetime.
- Applied Landauer's principle and the second law of thermodynamics.
- Assumed a local heat engine powered by information operated by the receiver.
Main Results:
- Established a bound on the energy cost for information acquisition.
- The derived bound is dependent on the spacetime metric and communication channel properties.
Conclusions:
- Information theory provides a framework for understanding relativistic thermodynamics.
- There is a quantifiable energy cost associated with acquiring information in relativistic communication.
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