Analog of the Carnot engine for fluctuating diffusivity in living cells
arXiv:2501.03452 · doi:10.1140/epjb/s10051-025-01033-x
Abstract
Recently, a formal analogy between the fluctuating diffusivity and thermodynamics has been proposed based on phenomena of heterogeneous diffusion observed in living cells. This not only offers the analogs of the quantity of heat and work as well as the internal energy but also achieves that of the Clausius inequality for the entropy concerning diffusivity fluctuations. Here, a discussion is developed about constructing a heat-like engine in terms of the fluctuating diffusivity. The engine constitutes two kinds of processes with the average diffusivity or the average local temperature being kept fixed, along which the fluctuation distribution obeys an exponential law. The efficiency of the engine in a cycle, which quantifies how much the diffusivity change as the analog of work can be extracted, is found to formally coincide with that of Carnot's. During the cycle, the total change of the entropy is also shown to vanish.
24 pages, 1 figure. The discussion developed further and some references added. Published version
References in corpus (12)
- Nanometer scale quantum thermometry in a living cell
- Anomalous transport in the crowded world of biological cells
- "Diffusing diffusivity": A model for anomalous and "anomalous yet Brownian" diffusion
- Viscoelastic subdiffusion: from anomalous to normal
- Elucidating the Origin of Heterogeneous Anomalous Diffusion in the Cytoplasm of Mammalian Cells
- Non-neurotoxic Nanodiamond Probes for Intraneuronal Temperature Mapping
- Packets of Diffusing Particles Exhibit Universal Exponential Tails
- Local Analysis of Heterogeneous Intracellular Transport: Slow and Fast moving Endosomes
- 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