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G. Falasco, M. Esposito, and J.-C. Delvenne, “Unifying thermodynamic uncertainty relations,” (2019), arXiv:1906.11360 [cond-mat.stat-mech]
Original
1906
Earlier work this paper cites.
Z. Cao, H. Jiang, and Z. Hou, “Thermodynamic uncertainty relation for active particle systems,” (2019), arXiv:1907.11459 [cond-mat.stat-mech]
Original
1907
Earlier work this paper cites.
J. S. Lee, J.-M. Park, and H. Park, “Thermodynamic uncertainty relation for underdamped langevin systems driven by a velocity-dependent force,” (2019), arXiv:1907.06221 [cond-mat.stat-mech]
Original
1907
Earlier work this paper cites.
T. V. Vu and Y. Hasegawa, “Thermodynamic uncertainty relations under arbitrary control protocols,” (2019), arXiv:1909.10988 [cond-mat.stat-mech]
Original
1909
Earlier work this paper cites.
Y. Hasegawa, “Quantum thermodynamic uncertainty relation for continuous measurement,” (2019), arXiv:1911.11982 [cond-mat.stat-mech]
Original
1911
Earlier work this paper cites.
G. Paneru, S. Dutta, T. Tlusty, and H. K. Pak, “Approaching and violating thermodynamic uncertainty bounds in measurements of fluctuation-dissipation tradeoffs of information engines,” (2019), arXiv:1911.09835 [cond-mat.stat-mech]
Original
1911
Earlier work this paper cites.
T. Morimoto, Journal of the Physical Society of Japan 18
1963
Earlier work this paper cites.
M. J. M. de Jong, Phys. Rev. B 54
1996
Earlier work this paper cites.
C. Jarzynski, Phys. Rev. Lett. 78
1997
Earlier work this paper cites.
K. Sekimoto, Prog. Theor. Phys. Suppl. 130
1998
Earlier work this paper cites.
G. E. Crooks, Phys. Rev. E 60
1999
Earlier work this paper cites.
T. Hatano and S.-i. Sasa, Phys. Rev. Lett. 86
2001
Earlier work this paper cites.
D. A. Bagrets and Y. V. Nazarov, Phys. Rev. B 67
2003
Earlier work this paper cites.
U. Seifert, Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
S. Schuler, T. Speck, C. Tietz, J. Wrachtrup, and U. Seifert, Phys. Rev. Lett. 94
2005
Earlier work this paper cites.

Similar

T. M. Cover and J. A. Thomas, Elements of Information Theory (Wiley-Interscience, New York, NY, USA, 2006)
2006
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T. Sagawa and M. Ueda, Phys. Rev. Lett. 104
2010
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2010
Cited alongside, same era.
U. Seifert, Rep. Prog. Phys. 75
2012
Cited alongside, same era.
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2013
Cited alongside, same era.
J. V. Koski, V. F. Maisi, T. Sagawa, and J. P. Pekola, Phys. Rev. Lett. 113
2014
Cited alongside, same era.

Then

S. Pigolotti, I. Neri, E. Roldán, and F. Jülicher, Phys. Rev. Lett. 119
2017
Later among the works it cites.
Y. Murashita and M. Ueda, Phys. Rev. Lett. 118
2017
Later among the works it cites.
A. C. Barato, R. Chetrite, A. Faggionato, and D. Gabrielli, New J. Phys. 20
2018
Later among the works it cites.
T. Koyuk, U. Seifert, and P. Pietzonka, J. Phys. A 52
2018
Later among the works it cites.
A. Dechant, J. Phys. A 52
2018
Later among the works it cites.
D. Chiuchiù and S. Pigolotti, Phys. Rev. E 97
2018
Later among the works it cites.
J. Lee, Phys. Rev. E 97
2018

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2019

Thermodynamic Uncertainty Relation for Arbitrary Initial States

Liu, Kangqiao, Gong, Zongping, Ueda, Masahito

Understand

The thermodynamic uncertainty relation (TUR) describes a trade-off relation between nonequilibrium currents and entropy production and serves as a fundamental principle of nonequilibrium thermodynamics.

However, currently known TURs presuppose either specific initial states or an infinite-time average, which severely limits the range of applicability.
Here we derive a finite-time TUR valid for arbitrary initial states from the Cram\'er-Rao inequality.
We find that the variance of an accumulated current is bounded by the instantaneous current at the final time, which suggests that ``the boundary is constrained by the bulk".

Built on

G. Falasco, M. Esposito, and J.-C. Delvenne, “Unifying thermodynamic uncertainty relations,” (2019), arXiv:1906.11360 [cond-mat.stat-mech]
Original
1906
Earlier work this paper cites.
Z. Cao, H. Jiang, and Z. Hou, “Thermodynamic uncertainty relation for active particle systems,” (2019), arXiv:1907.11459 [cond-mat.stat-mech]
Original
1907
Earlier work this paper cites.
J. S. Lee, J.-M. Park, and H. Park, “Thermodynamic uncertainty relation for underdamped langevin systems driven by a velocity-dependent force,” (2019), arXiv:1907.06221 [cond-mat.stat-mech]
Original
1907
Earlier work this paper cites.
T. V. Vu and Y. Hasegawa, “Thermodynamic uncertainty relations under arbitrary control protocols,” (2019), arXiv:1909.10988 [cond-mat.stat-mech]
Original
1909
Earlier work this paper cites.
Y. Hasegawa, “Quantum thermodynamic uncertainty relation for continuous measurement,” (2019), arXiv:1911.11982 [cond-mat.stat-mech]
Original
1911
Earlier work this paper cites.
G. Paneru, S. Dutta, T. Tlusty, and H. K. Pak, “Approaching and violating thermodynamic uncertainty bounds in measurements of fluctuation-dissipation tradeoffs of information engines,” (2019), arXiv:1911.09835 [cond-mat.stat-mech]
Original
1911
Earlier work this paper cites.
T. Morimoto, Journal of the Physical Society of Japan 18
1963
Earlier work this paper cites.
M. J. M. de Jong, Phys. Rev. B 54
1996
Earlier work this paper cites.
C. Jarzynski, Phys. Rev. Lett. 78
1997
Earlier work this paper cites.
K. Sekimoto, Prog. Theor. Phys. Suppl. 130
1998
Earlier work this paper cites.
G. E. Crooks, Phys. Rev. E 60
1999
Earlier work this paper cites.
T. Hatano and S.-i. Sasa, Phys. Rev. Lett. 86
2001
Earlier work this paper cites.
D. A. Bagrets and Y. V. Nazarov, Phys. Rev. B 67
2003
Earlier work this paper cites.
U. Seifert, Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
S. Schuler, T. Speck, C. Tietz, J. Wrachtrup, and U. Seifert, Phys. Rev. Lett. 94
2005
Earlier work this paper cites.

Similar

T. M. Cover and J. A. Thomas, Elements of Information Theory (Wiley-Interscience, New York, NY, USA, 2006)
2006
Cited alongside, same era.
T. Sagawa and M. Ueda, Phys. Rev. Lett. 104
2010
Cited alongside, same era.
J. Ren, P. Hänggi, and B. Li, Phys. Rev. Lett. 104
2010
Cited alongside, same era.
U. Seifert, Rep. Prog. Phys. 75
2012
Cited alongside, same era.
J. V. Koski, T. Sagawa, O.-P. Saira, Y. Yoon, A. Kutvonen, P. Solinas, M. Möttönen, T. Ala-Nissila, and J. P. Pekola, Nat. Phys. 9
2013
Cited alongside, same era.
J. V. Koski, V. F. Maisi, T. Sagawa, and J. P. Pekola, Phys. Rev. Lett. 113
2014
Cited alongside, same era.

Then

S. Pigolotti, I. Neri, E. Roldán, and F. Jülicher, Phys. Rev. Lett. 119
2017
Later among the works it cites.
Y. Murashita and M. Ueda, Phys. Rev. Lett. 118
2017
Later among the works it cites.
A. C. Barato, R. Chetrite, A. Faggionato, and D. Gabrielli, New J. Phys. 20
2018
Later among the works it cites.
T. Koyuk, U. Seifert, and P. Pietzonka, J. Phys. A 52
2018
Later among the works it cites.
A. Dechant, J. Phys. A 52
2018
Later among the works it cites.
D. Chiuchiù and S. Pigolotti, Phys. Rev. E 97
2018
Later among the works it cites.
J. Lee, Phys. Rev. E 97
2018

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

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2014

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Z. Gong and H. T. Quan, Phys. Rev. E 92

2015

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A. C. Barato and U. Seifert, Phys. Rev. Lett. 114

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J. M. R. Parrondo, J. M. Horowitz, and T. Sagawa, Nat. Phys. 11

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N. Shiraishi, S. Ito, K. Kawaguchi, and T. Sagawa, New J. Phys. 17

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T. R. Gingrich, J. M. Horowitz, N. Perunov, and J. L. England, Phys. Rev. Lett. 116

2016

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Later among the works it cites.

P. Pietzonka, Thermodynamic bounds on current fluctuations , Ph.D. thesis , University of Stuttgart (2018)

2018

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P. P. Potts and P. Samuelsson, Phys. Rev. E 100

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