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Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...
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Modified Landauer Principle According to Tsallis Entropy.

Luis Herrera1

  • 1Instituto Universitario de Física Fundamental y Matematicas, Universidad de Salamanca, 37007 Salamanca, Spain.

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|November 27, 2024
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Summary
This summary is machine-generated.

This study generalizes the Landauer principle using Tsallis entropy, impacting information theory and physics. It explores consequences like modified information mass and gravitational field effects on information erasure.

Keywords:
Landauer principlegeneral relativitygravitational radiationinformation theory

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Area of Science:

  • Thermodynamics
  • Information Theory
  • Statistical Mechanics

Background:

  • The Landauer principle sets a fundamental limit on energy dissipation during information erasure.
  • This limit is intrinsically linked to the concept of entropy in physical systems.
  • Current understanding primarily relies on standard Boltzmann-Gibbs statistical mechanics.

Purpose of the Study:

  • To generalize the Landauer principle by incorporating Tsallis entropy.
  • To explore the implications of this generalized principle on information physics.
  • To investigate novel phenomena arising from non-extensive statistical mechanics in information processing.

Main Methods:

  • Theoretical derivation of a generalized Landauer limit using Tsallis entropy.
  • Analysis of the relationship between Tsallis parameters and energy dissipation.
  • Extension of the principle to systems influenced by gravitational fields.

Main Results:

  • A modified lower bound for energy dissipation in information erasure based on Tsallis entropy.
  • A redefinition of the mass associated with one bit of information.
  • The principle's applicability to systems in gravitational fields, including gravitational wave emission.

Conclusions:

  • Tsallis entropy provides a broader framework for understanding information thermodynamics.
  • The generalized Landauer principle has implications for information mass and gravitational interactions.
  • This work opens new avenues for research at the intersection of information theory, gravity, and non-extensive statistical mechanics.