Tsallis $\delta$-entropy in an accelerating BIon

TL;DR

This paper studies the thermodynamic properties of an accelerating BIon, demonstrating that its entropy follows Tsallis entropy and increases with acceleration, linking brane dynamics to non-extensive entropy forms.

Contribution

It introduces the thermodynamic analysis of an accelerating BIon and shows that its entropy conforms to Tsallis entropy, highlighting the impact of acceleration on entropy growth.

Findings

Entropy of accelerating BIon follows Tsallis form.

Increasing acceleration enlarges BIon area and entropy.

Tsallis entropy describes non-extensive thermodynamics of brane systems.

Abstract

In this research, we consider thermodynamically the behaviour of an accelerating BIon and show that the entropy of this system has the form of Tsallis entropy. A BIon is a system that consists of a brane, an anti-brane and a wormhole which connects them together. By increasing the acceleration of branes, the area of BIon increases and its Tsallis entropy grows.