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We propose a housekeeping/excess decomposition of entropy production for general nonlinear dynamics in a discrete space, including chemical reaction networks and discrete stochastic systems.
F. Horn and R. Jackson, General mass action kinetics, Arch. Ration. Mech. and Anal. 47
1972
Earlier work this paper cites.
J. Schnakenberg, Network theory of microscopic and macroscopic behavior of master equation systems, Rev. Mod. Phys. 48
1976
Earlier work this paper cites.
S. Schuster and R. Schuster, A generalization of Wegscheider’s condition. implications for properties of steady states and for quasi-steady-state approximation, Journal of Mathematical Chemistry 3
1989
Earlier work this paper cites.
Y. Oono and M. Paniconi, Steady state thermodynamics, Progress of Theoretical Physics Supplement 130
1998
Earlier work this paper cites.
T. Hatano and S.-i. Sasa, Steady-state thermodynamics of langevin systems, Phys. Rev. Lett. 86
2001
Earlier work this paper cites.
C. Godsil and G. F. Royle, Algebraic graph theory , Vol. 207 (Springer Science & Business Media, 2001)
2001
Earlier work this paper cites.
D. Andrieux and P. Gaspard, Fluctuation theorem for currents and schnakenberg network theory, J. Stat. Phys. 127
2007
Earlier work this paper cites.
D. A. Beard and H. Qian, Chemical biophysics: quantitative analysis of cellular systems , Vol. 126 (Cambridge University Press Cambridge, 2008)
2008
Earlier work this paper cites.
C. Maes and K. Netočnỳ, Canonical structure of dynamical fluctuations in mesoscopic nonequilibrium steady states, EPL (Europhysics Letters) 82
2008
Earlier work this paper cites.
C. Villani, Optimal transport: old and new , Vol. 338 (Springer, 2009)
2009
Earlier work this paper cites.
J. Dolbeault, B. Nazaret, and G. Savaré, A new class of transport distances between measures, Calc. Var. Partial Differ. Equ. 34
2009
Earlier work this paper cites.
R. T. Rockafellar and R. J.-B. Wets, Variational analysis , Vol. 317 (Springer Science & Business Media, 2009)
2009
Earlier work this paper cites.
M. Esposito and C. Van den Broeck, Three faces of the second law. I. master equation formulation, Phys. Rev. E 82
2010
Earlier work this paper cites.
C. Van den Broeck and M. Esposito, Three faces of the second law. II. fokker-planck formulation, Physical Review E 82
2010
Earlier work this paper cites.
A. Mielke, A gradient structure for reaction–diffusion systems and for energy-drift-diffusion systems, Nonlinearity 24
2011
Earlier work this paper cites.
E. Aurell, C. Mejía-Monasterio, and P. Muratore-Ginanneschi, Optimal protocols and optimal transport in stochastic thermodynamics, Phys. Rev. Lett. 106
2011
Earlier work this paper cites.
J. Maas, Gradient flows of the entropy for finite Markov chains, J. Funct. Anal. 261
2011
Earlier work this paper cites.
S. Puntanen, G. P. Styan, and J. Isotalo, Matrix tricks for linear statistical models: our personal top twenty (Springer, 2011)
2011
Earlier work this paper cites.
D. F. Anderson, A proof of the global attractor conjecture in the single linkage class case, SIAM Journal on Applied Mathematics 71
2011
Earlier work this paper cites.
2011
Earlier work this paper cites.
E. Aurell, K. Gawȩdzki, C. Mejía-Monasterio, R. Mohayaee, and P. Muratore-Ginanneschi, Refined second law of thermodynamics for fast random processes, J. Stat. Phys. 147
2012
Earlier work this paper cites.
M. Erbar and J. Maas, Ricci curvature of finite Markov chains via convexity of the entropy, Arch. Ration. Mech. and Anal. 206
2012
Earlier work this paper cites.
S.-N. Chow, W. Huang, Y. Li, and H. Zhou, Fokker–planck equations for a free energy functional or Markov process on a graph, Arch. Ration. Mech. and Anal. 203
2012
Cited alongside, same era.
A. Mielke, Geodesic convexity of the relative entropy in reversible Markov chains, Calc. Var. Partial Differ. Equ. 48
2013
Cited alongside, same era.
S. Bo, E. Aurell, R. Eichhorn, and A. Celani, Optimal stochastic transport in inhomogeneous thermal environments, Europhys. Lett. 103
2013
Cited alongside, same era.
P. Muratore-Ginanneschi, C. Mejía-Monasterio, and L. Peliti, Heat release by controlled continuous-time Markov jump processes, J. Stat. Phys. 150
2013
Cited alongside, same era.
C. Maes and K. Netočnỳ, A nonequilibrium extension of the Clausius heat theorem, J. Stat. Phys. 154
2014
Cited alongside, same era.
G. Falasco, M. Esposito, and J.-C. Delvenne, Unifying thermodynamic uncertainty relations, New J. Phys. 22
2020
Later among the works it cites.
D. H. Wolpert, Uncertainty relations and fluctuation theorems for Bayes nets, Phys. Rev. Lett. 125
2020
Later among the works it cites.
S. Otsubo, S. Ito, A. Dechant, and T. Sagawa, Estimating entropy production by machine learning of short-time fluctuating currents, Phys. Rev. E 101
2020
Later among the works it cites.
S. K. Manikandan, D. Gupta, and S. Krishnamurthy, Inferring entropy production from short experiments, Phys. Rev. Lett. 124
2020
Later among the works it cites.
K. Liu, Z. Gong, and M. Ueda, Thermodynamic uncertainty relation for arbitrary initial states, Phys. Rev. Lett. 125
2020
Later among the works it cites.
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M. Polettini and M. Esposito, Irreversible thermodynamics of open chemical networks. i. emergent cycles and broken conservation laws, J. Chem. Phys. 141
2014
Cited alongside, same era.
J. M. Horowitz and M. Esposito, Thermodynamics with continuous information flow, Phys. Rev. X 4
2014
Cited alongside, same era.
2015
Cited alongside, same era.
R. Rao and M. Esposito, Nonequilibrium thermodynamics of chemical reaction networks: wisdom from stochastic thermodynamics, Phys. Rev. X 6
2016
Cited alongside, same era.
H. Ge and H. Qian, Nonequilibrium thermodynamic formalism of nonlinear chemical reaction systems with waage–guldberg’s law of mass action, Chem. Phys. 472
2016
Cited alongside, same era.
T. R. Gingrich, J. M. Horowitz, N. Perunov, and J. L. England, Dissipation bounds all steady-state current fluctuations, Phys. Rev. Lett. 116
2016
Cited alongside, same era.
P. Pietzonka, A. C. Barato, and U. Seifert, Universal bound on the efficiency of molecular motors, J. Stat. Mech. 2016
2016
Cited alongside, same era.
A. Dechant and S.-i. Sasa, Fluctuation–response inequality out of equilibrium, Proceedings of the National Academy of Sciences 117
2020
Later among the works it cites.
T. Van Vu and Y. Hasegawa, Unified approach to classical speed limit and thermodynamic uncertainty relation, Phys. Rev. E 102
2020
Later among the works it cites.
T. Koyuk and U. Seifert, Thermodynamic uncertainty relation for time-dependent driving, Phys. Rev. Lett. 125
2020
Later among the works it cites.
A. Dechant and S.-i. Sasa, Continuous time reversal and equality in the thermodynamic uncertainty relation, Phys. Rev. Research 3
2021
Later among the works it cites.
K. Yoshimura and S. Ito, Thermodynamic uncertainty relation and thermodynamic speed limit in deterministic chemical reaction networks, Phys. Rev. Lett. 127
2021
Later among the works it cites.
T. Van Vu and Y. Hasegawa, Geometrical bounds of the irreversibility in Markovian systems, Phys. Rev. Lett. 126
2021
Later among the works it cites.
R. Fu, A. Taghvaei, Y. Chen, and T. T. Georgiou, Maximal power output of a stochastic thermodynamic engine, Automatica 123
2021
Later among the works it cites.
M. Nakazato and S. Ito, Geometrical aspects of entropy production in stochastic thermodynamics based on Wasserstein distance, Phys. Rev. Research 3
2021
Later among the works it cites.
F. Avanzini, E. Penocchio, G. Falasco, and M. Esposito, Nonequilibrium thermodynamics of non-ideal chemical reaction networks, J. Chem. Phys. 154
2021
Later among the works it cites.
B. Remlein and U. Seifert, Optimality of nonconservative driving for finite-time processes with discrete states, Phys. Rev. E 103
2021
Later among the works it cites.
N. Shiraishi, Optimal thermodynamic uncertainty relation in Markov jump processes, J. Stat. Phys. 185
2021
Later among the works it cites.
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