Itto, Yuichi2023-02-202023-02-2020211099-43001837223289http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-127783http://elib.uni-stuttgart.de/handle/11682/12778http://dx.doi.org/10.18419/opus-12759A formal analogy of fluctuating diffusivity to thermodynamics is discussed for messenger RNA molecules fluorescently fused to a protein in living cells. Regarding the average value of the fluctuating diffusivity of such RNA-protein particles as the analog of the internal energy, the analogs of the quantity of heat and work are identified. The Clausius-like inequality is shown to hold for the entropy associated with diffusivity fluctuations, which plays a role analogous to the thermodynamic entropy, and the analog of the quantity of heat. The change of the statistical fluctuation distribution is also examined from a geometric perspective. The present discussions may contribute to a deeper understanding of the fluctuating diffusivity in view of the laws of thermodynamics.eninfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/4.0/530article2021-04-08