Thermodynamic Uncertainty Relation and Thermodynamic Speed Limit in Deterministic Chemical Reaction Networks.
Reads0
Chats0
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.read more
Citations
More filters
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.
Journal ArticleDOI
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.
Journal ArticleDOI
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.
Journal ArticleDOI
Thermodynamic Unification of Optimal Transport: Thermodynamic Uncertainty Relation, Minimum Dissipation, and Thermodynamic Speed Limits
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
More filters
Journal ArticleDOI
Finite-time generalization of the thermodynamic uncertainty relation.
TL;DR: It is shown that this relation holds not only for the long-time limit of fluctuations, as described by large deviation theory, but also for fluctuations on arbitrary finite time scales, which facilitates applying the thermodynamic uncertainty relation to single molecule experiments, for which infinite time scales are not accessible.
Journal ArticleDOI
Speed Limit for Classical Stochastic Processes.
TL;DR: In this article, the authors consider the speed limit for stochastic Markov processes with and without the local detailed balance condition and find that a trade-off inequality exists between the speed of the state transformation and the entropy production.
Journal ArticleDOI
Quantum Speed Limit is Not Quantum.
Manaka Okuyama,Masayuki Ohzeki +1 more
TL;DR: This study obtains a classical speed limit corresponding to the QSL using Hilbert space for the classical Liouville equation and obtains similar speed limits for the imaginary-time Schrödinger equations such as the classical master equation.
Journal ArticleDOI
Generalized geometric quantum speed limits
Diego Paiva Pires,Marco Cianciaruso,Marco Cianciaruso,Lucas C. Céleri,Gerardo Adesso,Diogo O. Soares-Pinto +5 more
TL;DR: This work establishes an infinite family of quantum speed limits valid for unitary and nonunitary evolutions, based on an elegant information geometric formalism, and provides instances of novel bounds which are tighter than any established one based on the conventional quantum Fisher information.
Journal ArticleDOI
Fluctuation Theorem Uncertainty Relation.
Yoshihiko Hasegawa,Tan Van Vu +1 more
TL;DR: In this paper, the authors derived a thermodynamic uncertainty relation from the fluctuation theorem, which is the fundamental equality in nonequilibrium thermodynamics that is used to derive many important thermodynamic relations.
Related Papers (5)
Constant thermodynamic speed for minimizing entropy production in thermodynamic processes and simulated annealing.
Stoichiometric network analysis of entropy production in chemical reactions
David Hochberg,Josep M. Ribó +1 more