Issue |
EPL
Volume 130, Number 3, May 2020
|
|
---|---|---|
Article Number | 30005 | |
Number of page(s) | 7 | |
Section | General | |
DOI | https://doi.org/10.1209/0295-5075/130/30005 | |
Published online | 03 June 2020 |
Physical meaning of temperature in superstatistics
1 Department of Civil Engineering and Geomatics, Cyprus University of Technology - PO Box 50329, 3603, Limassol, Cyprus
2 Eratosthenes Centre of Excellence, Cyprus University of Technology - Limassol, Cyprus
3 Division of Space Science and Engineering, Southwest Research Institute - San Antonio, TX 78238, USA
(a) elias.gravanis@cut.ac.cy
(b) evangelos.akylas@cut.ac.cy
(c) glivadiotis@swri.edu (corresponding author)
Received: 8 February 2020
Accepted: 14 May 2020
We show that the fluctuating temperature in the superstatistics construction is proportional to the average (arithmetic mean) energy per degree of freedom of the system in the thermodynamic limit. The latter is a fluctuating quantity due to the strong correlation of statistical nature introduced by superstatistics between degrees of freedom. The necessity for scale dependence of the parameters of superstatistics, which can be explicitly realized through applications of superstatistics in isotropic turbulence, is discussed.
PACS: 05.20.-y – Classical statistical mechanics / 47.27.eb – Statistical theories and models / 47.27.E- – Turbulence simulation and modeling
© EPLA, 2020
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