Micro-canonical and canonical description for generalised entropy

Few parameters dependent generalised entropy includes Tsallis entropy, Renyi entropy, Sharma-Mittal entropy, Barrow entropy, Kaniadakis entropy, etc as particular representatives. Its relation to physical systems is not always clear. In this paper, we propose the microscopic thermodynamic description for an arbitrary generalised entropy in terms of the particle system. It is shown that the change in the volume of the phase space of the particle system in the micro-canonical description or the difference in the integration measure in the phase space in the canonical description may lead to generalised entropy. Our consideration may help us understand the structure of quantum gravity. & COPY; 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/). Funded by SCOAP3.

Automated summary

In this paper, a microscopic thermodynamic description for an arbitrary generalised entropy is proposed in terms of the particle system. It is revealed that the change in the volume of the phase space of the particle system or the difference in the integration measure in the phase space can lead to generalised entropy. The study contributes to our understanding of the structure of quantum gravity.