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Thermodynamic Uncertainty Relation and Thermodynamic Speed Limit in Deterministic Chemical Reaction Networks.

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TLDR
In this article, the authors generalize the thermodynamic uncertainty relation (TUR) and thermodynamic speed limit (TSL) for deterministic chemical reaction networks (CRNs) and derive the scaled diffusion coefficient derived by considering the connection between macro-and mesoscopic CRNs.
Abstract
We generalize the thermodynamic uncertainty relation (TUR) and thermodynamic speed limit (TSL) for deterministic chemical reaction networks (CRNs). The scaled diffusion coefficient derived by considering the connection between macro- and mesoscopic CRNs plays an essential role in our results. The TUR shows that the product of the entropy production rate and the ratio of the scaled diffusion coefficient to the square of the rate of concentration change is bounded below by two. The TSL states a trade-off relation between speed and thermodynamic quantities, the entropy production, and the time-averaged scaled diffusion coefficient. The results are proved under the general setting of open and nonideal CRNs.

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Geometrical aspects of entropy production in stochastic thermodynamics based on Wasserstein distance

TL;DR: In this paper, the authors studied the relationship between optimal transport theory and stochastic thermodynamics for the Fokker-Planck equation and derived a lower bound on the partial entropy production as a generalization of information thermodynamics.
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Speed Limit for a Highly Irreversible Process and Tight Finite-Time Landauer’s Bound

TL;DR: In this article , a tight finite-time Landauer's bound was established by establishing a general form of the classical speed limit for quasistatic processes, which captures the divergent behavior associated with the additional cost of a highly irreversible process which scales differently from a nearly irreversible process.
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Hessian geometry of nonequilibrium chemical reaction networks and entropy production decompositions

TL;DR: In this article , the authors derive the Hessian geometric structure of nonequilibrium chemical reaction networks on the flux and force spaces induced by the Legendre duality of convex dissipation functions and characterize their dynamics as a generalized flow.
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Thermodynamic Unification of Optimal Transport: Thermodynamic Uncertainty Relation, Minimum Dissipation, and Thermodynamic Speed Limits

- 03 Feb 2023 - 
TL;DR: In this article , a thermodynamic framework for discrete optimal transport was developed for continuous-state Langevin dynamics, and the Wasserstein distance was shown to be the minimum product of irreversible entropy production and dynamical state mobility over all admissible Markovian dynamics.
Posted Content

Thermodynamics of Concentration vs Flux Control in Chemical Reaction Networks

TL;DR: In this paper, the thermodynamic implications of two control mechanisms of open chemical reaction networks were investigated, i.e., the first controls the concentrations of the species that are exchanged with the surroundings, while the other controls the exchange fluxes.
References
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Journal ArticleDOI

Speed limit for open quantum systems

TL;DR: In this paper, the authors studied the quantum speed limit for open quantum systems described by the Lindblad master equation and showed a trade-off relation between the operation time and the physical quantities such as the energy fluctuation and the entropy production.
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Uncertainty Relations and Fluctuation Theorems for Bayes Nets.

TL;DR: This work derives fluctuation theorems governing the entropy production of arbitrary sets of the systems in such a Bayes net, and derives thermodynamic uncertainty relations relating the EP of the overall system to the precisions of probability currents within the individual systems.
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Information geometric inequalities of chemical thermodynamics

TL;DR: In this paper, a connection between chemical thermodynamics and information geometry is made, and the authors show a link between speed limits and the Cram\'er-Rao inequality and information-geometric trade-off relations in chemical reaction networks.
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Nonequilibrium thermodynamics of non-ideal chemical reaction networks

TL;DR: In this paper, the authors developed a general theory that accounts for interactions between chemical species within a mean-field approach using activity coefficients, and showed that the thermodynamic potential and the forces driving non-ideal chemical systems out of equilibrium are identified.
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Tighter thermodynamic bound on the speed limit in systems with unidirectional transitions.

TL;DR: The statistical length and thermodynamic cost function for transitions in the probability space are computed and the thermodynamic bound on the speed limit is derived to connect two distributions separated by a finite time, showing the effect of the presence of unidirectional transitions.
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