Tsallis Distribution as a Λ-Deformation of the Maxwell-Jüttner Distribution
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View abstract on PubMed
Summary
This summary is machine-generated.This study proposes a thermodynamic framework in special relativity, linking Tsallis distribution to cosmology. It reveals how the Tsallis parameter relates to the cosmological constant and particle properties.
Area Of Science
- Thermodynamics
- Special Relativity
- Cosmology
Background
- A consistent thermodynamic framework within special relativity is lacking.
- The Tsallis distribution offers a potential avenue for exploration.
Purpose Of The Study
- To develop a thermodynamic framework in special relativity.
- To connect the Tsallis distribution with cosmological parameters.
Main Methods
- Postulating a future-directed, time-like inverse temperature 4-vector (β).
- Conceptualizing the q-dependent Tsallis distribution as a de Sitterian deformation of the Maxwell-Jüttner distribution.
Main Results
- The Tsallis parameter (q) depends on the cosmological constant (Λ) and particle's Compton length (ℓc).
- The relationship is given by q = 1 + ℓcΛ/n, where n is a numerical factor.
Conclusions
- A novel connection is established between Tsallis distribution, quantum statistics, and the cosmological constant.
- This provides insights into relativistic thermodynamics and cosmological parameters.
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