On the thermodynamic analogy of intracellular diffusivity fluctuations
arXiv:2511.06851 · doi:10.1088/1742-5468/ae52ea
Abstract
Two recent topics on a formal thermodynamic analogy of intracellular diffusivity fluctuations observed experimentally in normal/anomalous diffusion are reported. Not only the analogs of the quantity of heat and work as well as the internal energy but also that of the Clausius inequality are identified. Then, the analog of the heat engine is constructed to characterize extraction of the diffusivity change as the analog of work during a cycle, the efficiency of which is formally equivalent to that of the Carnot engine, making the total change of the entropy concerning the fluctuations vanish. The effect of the slow variation of the fluctuations on the efficiency is also briefly discussed.
arXiv comment26 pages, 1 figure. The discussion developed further and references added
References in corpus (12)
- Nanometer scale quantum thermometry in a living cell
- Brownian yet non-Gaussian diffusion: from superstatistics to subordination of diffusing diffusivities
- "Diffusing diffusivity": A model for anomalous and "anomalous yet Brownian" diffusion
- Viscoelastic subdiffusion: from anomalous to normal
- Non-neurotoxic Nanodiamond Probes for Intraneuronal Temperature Mapping
- Superstatistical modelling of protein diffusion dynamics in bacteria
- Robustness of the second law of thermodynamics under generalizations of the maximum entropy method
- Time evolution of entropy associated with diffusivity fluctuations: Diffusing diffusivity approach
- Fluctuating diffusivity of RNA-protein particles: Analogy with thermodynamics
- Conditional entropic approach to nonequilibrium complex systems with weak fluctuation correlation
- Conditional entropy and weak fluctuation correlation in nonequilibrium complex systems
- Analog of the Carnot engine for fluctuating diffusivity in living cells