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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

Unified approach to classical speed limit and thermodynamic uncertainty relation.

TL;DR: This work obtains a universal lower bound on the total entropy production in terms of probability distributions of an observable in the time forward and backward processes and demonstrates that a generalized thermodynamic uncertainty relation can be derived from another particular case of the universal relation.
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Thermodynamic Uncertainty Relation for General Open Quantum Systems.

TL;DR: In this article, a thermodynamic uncertainty relation for general open quantum dynamics, described by a joint unitary evolution on a composite system comprising a system and an environment, was derived, and the relation was satisfied for classical Markov processes with arbitrary time-dependent transition rates and initial states.
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Thermodynamically consistent coarse graining of biocatalysts beyond Michaelis–Menten

TL;DR: In this article, a coarse-grained procedure is proposed to provide stoichiometries, reaction fluxes (rate laws), and reaction forces (Gibbs energies of reaction) for the coarsegrained level.
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Mathematical Formalism of Nonequilibrium Thermodynamics for Nonlinear Chemical Reaction Systems with General Rate Law

TL;DR: In this article, a mathematical formalism of nonequilibrium thermodynamics for chemical reaction models with N species, M reactions, and general rate law was studied, and a generalized macroscopic chemical free energy function and its associated balance equation with nonnegative source and sink were presented.
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Nonequilibrium thermodynamic formalism of nonlinear chemical reaction systems with Waage–Guldberg’s law of mass action

TL;DR: In this article, a full kinetic and thermodynamic theory of chemical reaction systems that transcends mesoscopic and macroscopic levels is presented, and a nonequilibrium free energy balance equation dA/dt=-σ(tot)+σ(hk), which is on a par with celebrated entropy balance equation DS/dt, where η(ex) is the rate of entropy exchange with the environment.
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