Fetching the paper…
Reading the bibliography…
A nonequilibrium system is characterized by a set of thermodynamic forces and fluxes which give rise to entropy production (EP).
I. Prigogine and R. Lefever, “Symmetry breaking instabilities in dissipative systems. II,” The Journal of Chemical Physics , vol. 48, no. 4, pp. 1695–1700, 1968
1968
Earlier work this paper cites.
F. Weinhold, “Metric geometry of equilibrium thermodynamics,” The Journal of Chemical Physics , vol. 63, no. 6, pp. 2479–2483, 1975, publisher: American Institute of Physics
1975
Earlier work this paper cites.
W. Rudin, Principles of Mathematical Analysis , 3rd ed. New York: McGraw-Hill Education, Jan. 1976
1976
Earlier work this paper cites.
G. Ruppeiner, “Thermodynamics: A Riemannian geometric model,” Physical Review A , vol. 20, no. 4, p. 1608, 1979, publisher: APS
1979
Earlier work this paper cites.
P. Salamon and R. S. Berry, “Thermodynamic length and dissipated availability,” Physical Review Letters , vol. 51, no. 13, p. 1127, 1983
1983
Earlier work this paper cites.
F. Schlögl, “Thermodynamic metric and stochastic measures,” Zeitschrift für Physik B Condensed Matter , vol. 59, no. 4, pp. 449–454, Dec. 1985
1985
Earlier work this paper cites.
H. Janyszek, “Riemannian geometry and stability of thermodynamical equilibrium systems,” Journal of Physics A: Mathematical and General , vol. 23, no. 4, p. 477, 1990, publisher: IOP Publishing
1990
Earlier work this paper cites.
R. Mrugala, J. D. Nulton, J. C. Schön, and P. Salamon, “Statistical approach to the geometric structure of thermodynamics,” Physical Review A , vol. 41, no. 6, pp. 3156–3160, Mar. 1990
1990
Earlier work this paper cites.
D. Brody and N. Rivier, “Geometrical aspects of statistical mechanics,” Physical Review E , vol. 51, no. 2, pp. 1006–1011, Feb. 1995
1995
Earlier work this paper cites.
L. Diósi, K. Kulacsy, B. Lukács, and A. Rácz, “Thermodynamic length, time, speed, and optimum path to minimize entropy production,” The Journal of Chemical Physics , vol. 105, no. 24, pp. 11 220–11 225, Dec. 1996
1996
Earlier work this paper cites.
Y. Oono and M. Paniconi, “Steady state thermodynamics,” Progress of Theoretical Physics Supplement , vol. 130, pp. 29–44, 1998
1998
Earlier work this paper cites.
T. Hatano and S.-i. Sasa, “Steady-state thermodynamics of Langevin systems,” Physical Review Letters , vol. 86, no. 16, p. 3463, 2001
2001
Earlier work this paper cites.
M. Collins, R. E. Schapire, and Y. Singer, “Logistic regression, AdaBoost and Bregman distances,” Machine Learning , vol. 48, no. 1, pp. 253–285, 2002
2002
Earlier work this paper cites.
C. Gardiner, Handbook of Stochastic Methods: for Physics, Chemistry and the Natural Sciences , 3rd ed. Berlin ; New York: Springer, Apr. 2004
2004
Earlier work this paper cites.
M. Esposito, U. Harbola, and S. Mukamel, “Entropy fluctuation theorems in driven open systems: Application to electron counting statistics,” Physical Review E , vol. 76, no. 3, p. 031132, 2007
2007
Earlier work this paper cites.
G. E. Crooks, “Measuring Thermodynamic Length,” Physical Review Letters , vol. 99, no. 10, Sep. 2007
2007
Earlier work this paper cites.
T. S. Komatsu, N. Nakagawa, S.-i. Sasa, and H. Tasaki, “Steady-state thermodynamics for heat conduction: microscopic derivation,” Physical Review Letters , vol. 100, no. 23, p. 230602, 2008
2008
Earlier work this paper cites.
M. Esposito and C. Van den Broeck, “Three detailed fluctuation theorems,” Physical Review Letters , vol. 104, no. 9, p. 090601, 2010
2010
Earlier work this paper cites.
M. Esposito and C. Van den Broeck, “Three faces of the second law. I. Master equation formulation,” Physical Review E , vol. 82, no. 1, p. 011143, 2010
2010
Earlier work this paper cites.
E. Aurell, C. Mejía-Monasterio, and P. Muratore-Ginanneschi, “Optimal protocols and optimal transport in stochastic thermodynamics,” Physical Review Letters , vol. 106, no. 25, p. 250601, 2011
2011
Earlier work this paper cites.
T. Sagawa and H. Hayakawa, “Geometrical expression of excess entropy production,” Physical Review E , vol. 84, no. 5, p. 051110, 2011
2011
Earlier work this paper cites.
J. Maas, “Gradient flows of the entropy for finite Markov chains,” Journal of Functional Analysis , vol. 261, no. 8, pp. 2250–2292, Oct. 2011
2011
Earlier work this paper cites.
A. Mielke, “A gradient structure for reaction–diffusion systems and for energy-drift-diffusion systems,” Nonlinearity , vol. 24, no. 4, p. 1329, 2011
2011
Earlier work this paper cites.
R. E. Spinney and I. J. Ford, “Nonequilibrium thermodynamics of stochastic systems with odd and even variables,” Physical Review Letters , vol. 108, no. 17, p. 170603, 2012
2012
Earlier work this paper cites.
I. J. Ford and R. E. Spinney, “Entropy production from stochastic dynamics in discrete full phase space,” Physical Review E , vol. 86, no. 2, p. 021127, 2012
2012
Cited alongside, same era.
D. A. Sivak and G. E. Crooks, “Thermodynamic Metrics and Optimal Paths,” Physical Review Letters , vol. 108, no. 19, May 2012
2012
Cited alongside, same era.
A. Bérut, A. Arakelyan, A. Petrosyan, S. Ciliberto, R. Dillenschneider, and E. Lutz, “Experimental verification of Landauer’s principle linking information and thermodynamics,” Nature , vol. 483, no. 7388, pp. 187–189, 2012
2012
Cited alongside, same era.
R. E. Spinney and I. J. Ford, “Entropy production in full phase space for continuous stochastic dynamics,” Physical Review E , vol. 85, no. 5, p. 051113, 2012
2012
Cited alongside, same era.
H. K. Lee, C. Kwon, and H. Park, “Fluctuation theorems and entropy production with odd-parity variables,” Physical Review Letters , vol. 110, no. 5, p. 050602, 2013
J. M. Horowitz and T. R. Gingrich, “Thermodynamic uncertainty relations constrain non-equilibrium fluctuations,” Nature Physics , vol. 16, no. 1, pp. 15–20, 2020
2020
Later among the works it cites.
V. T. Vo, T. Van Vu, and Y. Hasegawa, “Unified approach to classical speed limit and thermodynamic uncertainty relation,” Phys. Rev. E , vol. 102, p. 062132, Dec 2020
2020
Later among the works it cites.
M. Nakazato and S. Ito, “Geometrical aspects of entropy production in stochastic thermodynamics based on Wasserstein distance,” Physical Review Research , vol. 3, no. 4, p. 043093, 2021
2021
Later among the works it cites.
A. Kolchinsky and D. H. Wolpert, “Work, entropy production, and thermodynamics of information under protocol constraints,” Physical Review X , vol. 11, no. 4, p. 041024, 2021
2021
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2013
Cited alongside, same era.
C. Maes and K. Netočnỳ, “A nonequilibrium extension of the Clausius heat theorem,” Journal of Statistical Physics , vol. 154, no. 1, pp. 188–203, 2014
2014
Cited alongside, same era.
G. C. Calafiore and L. El Ghaoui, Optimization models . Cambridge university press, 2014
2014
Cited alongside, same era.
T. R. Gingrich, J. M. Horowitz, N. Perunov, and J. L. England, “Dissipation bounds all steady-state current fluctuations,” Physical Review Letters , vol. 116, no. 12, p. 120601, 2016
2016
Cited alongside, same era.
S.-i. Amari, Information geometry and its applications . Springer, 2016, vol. 194
2016
Cited alongside, same era.
D. Mandal and C. Jarzynski, “Analysis of slow transitions between nonequilibrium steady states,” Journal of Statistical Mechanics: Theory and Experiment , vol. 2016, no. 6, p. 063204, 2016
2016
Cited alongside, same era.
R. Rao and M. Esposito, “Nonequilibrium thermodynamics of chemical reaction networks: wisdom from stochastic thermodynamics,” Physical Review X , vol. 6, no. 4, p. 041064, 2016
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,” Chemical Physics , vol. 472, pp. 241–248, 2016
2016
Cited alongside, same era.
2021
Later among the works it cites.
2021
Later among the works it cites.
T. Van Vu and Y. Hasegawa, “Geometrical bounds of the irreversibility in Markovian systems,” Physical Review Letters , vol. 126, no. 1, p. 010601, 2021
2021
Later among the works it cites.
K. Yoshimura and S. Ito, “Thermodynamic uncertainty relation and thermodynamic speed limit in deterministic chemical reaction networks,” Physical Review Letters , vol. 127, no. 16, p. 160601, 2021
2021
Later among the works it cites.
Y.-Z. Zhen, D. Egloff, K. Modi, and O. Dahlsten, “Universal bound on energy cost of bit reset in finite time,” Physical Review Letters , vol. 127, no. 19, p. 190602, 2021
2021
Later among the works it cites.
2021
Later among the works it cites.
2022
Closest in time.
A. Dechant, S.-i. Sasa, and S. Ito, “Geometric decomposition of entropy production in out-of-equilibrium systems,” Physical Review Research , vol. 4, no. 1, p. L012034, 2022
2022
Closest in time.
——, “Geometric decomposition of entropy production into excess, housekeeping, and coupling parts,” Phys. Rev. E , vol. 106, p. 024125, Aug 2022
2022
Closest in time.
S. Ito, “Information geometry, trade-off relations, and generalized Glansdorff–Prigogine criterion for stability,” Journal of Physics A: Mathematical and Theoretical , vol. 55, no. 5, p. 054001, 2022
2022
Closest in time.
Y. Sughiyama, D. Loutchko, A. Kamimura, and T. J. Kobayashi, “Hessian geometric structure of chemical thermodynamic systems with stoichiometric constraints,” Phys. Rev. Research , vol. 4, p. 033065, Jul 2022
2022
Closest in time.
N. Ohga and S. Ito, “Information-geometric structure for chemical thermodynamics: An explicit construction of dual affine coordinates,” Phys. Rev. E , vol. 106, p. 044131, Oct 2022
2022
Closest in time.
T. J. Kobayashi, D. Loutchko, A. Kamimura, and Y. Sughiyama, “Kinetic derivation of the hessian geometric structure in chemical reaction networks,” Phys. Rev. Research , vol. 4, p. 033066, Jul 2022
2022
Closest in time.
T. J. Kobayashi, D. Loutchko, A. Kamimura, and Y. Sughiyama, “Hessian geometry of nonequilibrium chemical reaction networks and entropy production decompositions,” Physical Review Research , vol. 4, no. 3, p. 033208, 2022
2022
Closest in time.
A. Dechant, “Minimum entropy production, detailed balance and Wasserstein distance for continuous-time Markov processes,” Journal of Physics A: Mathematical and Theoretical , 2022
2022
Closest in time.
R. Hamazaki, “Speed limits for macroscopic transitions,” PRX Quantum , vol. 3, no. 2, p. 020319, 2022
2022
Closest in time.
——, “Inverse linear versus exponential scaling of work penalty in finite-time bit reset,” Physical Review E , vol. 105, no. 4, p. 044147, 2022
2022
Closest in time.
J. S. Lee, S. Lee, H. Kwon, and H. Park, “Speed limit for a highly irreversible process and tight finite-time Landauer’s bound,” Phys. Rev. Lett. , vol. 129, p. 120603, Sep 2022
2022
Closest in time.
D. S. P. Salazar, “Lower bound for entropy production rate in stochastic systems far from equilibrium,” Phys. Rev. E , vol. 106, p. L032101, Sep 2022
2022
Closest in time.
S. Otsubo, S. K. Manikandan, T. Sagawa, and S. Krishnamurthy, “Estimating time-dependent entropy production from non-equilibrium trajectories,” Communications Physics , vol. 5, no. 1, pp. 1–10, 2022
2022
Closest in time.