In this section
@article{Morales:2023:1367-2630/ace4eb,
author = {Morales, PA and Korbel, J and Rosas, FE},
doi = {1367-2630/ace4eb},
journal = {New Journal of Physics},
title = {Thermodynamics of exponential Kolmogorov-Nagumo averages},
url = {http://dx.doi.org/10.1088/1367-2630/ace4eb},
volume = {25},
year = {2023}
}
TY - JOUR
AB - This paper investigates generalized thermodynamic relationships in physical systems where relevant macroscopic variables are determined by the exponential Kolmogorov–Nagumo average. We show that while the thermodynamic entropy of such systems is naturally described by Rényi's entropy with parameter γ, an ordinary Boltzmann distribution still describes their statistics under equilibrium thermodynamics. Our results show that systems described by exponential Kolmogorov–Nagumo averages can be interpreted as systems originally in thermal equilibrium with a heat reservoir with inverse temperature β that are suddenly quenched to another heat reservoir with inverse temperature $\beta^{^{\prime}} = (1-\gamma)\beta$. Furthermore, we show the connection with multifractal thermodynamics. For the non-equilibrium case, we show that the dynamics of systems described by exponential Kolmogorov–Nagumo averages still observe a second law of thermodynamics and the H-theorem. We further discuss the applications of stochastic thermodynamics in those systems—namely, the validity of fluctuation theorems—and the connection with thermodynamic length.
AU - Morales,PA
AU - Korbel,J
AU - Rosas,FE
DO - 1367-2630/ace4eb
PY - 2023///
SN - 1367-2630
TI - Thermodynamics of exponential Kolmogorov-Nagumo averages
T2 - New Journal of Physics
UR - http://dx.doi.org/10.1088/1367-2630/ace4eb
UR - https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:001040736000001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=a2bf6146997ec60c407a63945d4e92bb
UR - https://iopscience.iop.org/article/10.1088/1367-2630/ace4eb
UR - http://hdl.handle.net/10044/1/107097
VL - 25
ER -
