Modified Landauer Principle According to Tsallis Entropy

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.