Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Information and Entropy in Physical Systems Read chapter Read first chapter

2019 | OriginalPaper | Chapter

Second Law, Entropy Production, and Reversibility in Thermodynamics of Information

Author : Takahiro Sagawa

Published in: Energy Limits in Computation

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

We present a pedagogical review of the fundamental concepts in thermodynamics of information, by focusing on the second law of thermodynamics and the entropy production. Especially, we discuss the relationship among thermodynamic reversibility, logical reversibility, and heat emission in the context of the Landauer principle and clarify that these three concepts are fundamentally distinct to each other. We also discuss thermodynamics of measurement and feedback control by Maxwell’s demon. We clarify that the demon and the second law are indeed consistent in the measurement and the feedback processes individually, by including the mutual information to the entropy production.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now
previous chapter Conditional Erasure and the Landauer Limit
next chapter The Thermodynamics of Computation: A Contradiction
Literature
1.
J.C. Maxwell, Theory of Heat (Appleton, London, 1871)
2.
3.
C. Shannon, Bell Syst. Tech. J. 27, 379–423, 623–656 (1948)
4.
H.S. Leff, A.F. Rex (eds.), Maxwell’s Demon 2: Entropy, Classical and Quantum Information, Computing (Princeton University Press, New Jersey, 2003)
5.
6.
7.
8.
9.
10.
H. Matsueda, E. Goto, K.-F. Loe, RIMS Kôkyûroku 1013, 187 (1997)
11.
12.
13.
14.
15.
16.
17.
18.
19.
R. Kawai, J.M.R. Parrondo, C. Van den Broeck, Phys. Rev. Lett. 98, 080602 (2007)CrossRef
20.
21.
22.
23.
24.
25.
26.
G.N. Bochkov, Yu. E. Kuzovlev, Zh. Eksp. Teor. Fiz. 72, 238–247 (1977)
27.
C. Van den Broeck, Selforganization by nonlinear irreversible processes, in Proceedings of the Third International Conference, Kühlungsborn, GDR, 18–22 March 1985, ed. by W. Ebeling, H. Ulbricht (Springer, Berlin, 1985), pp. 57–61
28.
29.
30.
31.
32.
M.M. Barkeshli, arXiv:cond-mat/0504323 (2005)
33.
34.
35.
T. Sagawa, M. Ueda, Phys. Rev. Lett. 102, 250602 (2009); 106, 189901(E) (2011)CrossRef
36.
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
S. Lahiri, S. Rana, A.M. Jayannavar, J. Phys. A: Math. Theor. 45, 065002 (2012)CrossRef
49.
S. Still, D.A. Sivak, A.J. Bell, G.E. Crooks, Phys. Rev. Lett. 109, 120604 (2012)CrossRef
50.
51.
52.
S. Ciliberto, Phys. Rev. X 7, 021051 (2017)
53.
S. Toyabe, T. Sagawa, M. Ueda, E. Muneyuki, M. Sano, Nat. Phys. 6, 988 (2010)CrossRef
54.
A. Bérut, A. Arakelyan, A. Petrosyan, S. Ciliberto, R. Dillenschneider, E. Lutz, Nature 483, 187–189 (2012)CrossRef
55.
E. Roldan, I.A. Martinez, J.M.R. Parrondo, D. Petrov, Nat. Phys. 10, 457 (2014)CrossRef
56.
J.V. Koski, V.F. Maisi, T. Sagawa, J.P. Pekola, Phys. Rev. Lett. 113, 030601 (2014)CrossRef
57.
J.V. Koski, A. Kutvonen, I.M. Khaymovich, T. Ala-Nissila, J.P. Pekola, Phys. Rev. Lett. 115, 260602 (2015)CrossRef
58.
K. Chida, S. Desai, K. Nishiguchi, A. Fujiwara, Nat. Commun. 8, 15310 (2017)CrossRef
59.
60.
61.
62.
M. Gavrilov, R. Chétrite, J. Bechhoefer, Proc. Natl. Acad. Sci. USA 114, 11097–11102 (2017)CrossRef
63.
64.
65.
66.
M.D. Vidrighin, O. Dahlsten, M. Barbieri, M.S. Kim, V. Vedral, I.A. Walmsley, Phys. Rev. Lett. 116, 050401 (2016)CrossRef
67.
68.
69.
Y. Masuyama, K. Funo, Y. Murashita, A. Noguchi, S. Kono, Y. Tabuchi, R. Yamazaki, M. Ueda, Y. Nakamura, arXiv:1709.00548 (2017)
70.
H.B. Callen, Thermodynamics and an Introduction to Thermostatistics, 2nd edn. (Wiley, New York, 1985)MATH
71.
72.
D. Kondepudi, I. Prigogine, From Heat Engines to Dissipative Structures (Wiley, New York, 1998)MATH
73.
74.
75.
76.
M. Esposito, R. Kawai, K. Lindenberg, C. Van den Broeck, Phys. Rev. Lett. 105, 150603 (2010)CrossRef
77.
78.
N.G. van Kampen, Stochastic Processes in Physics and Chemistry, 3rd edn. (North-Holland Personal Library, 2007)
79.
80.
81.
82.
83.
84.
85.
J.M. Horowitz, T. Sagawa, J.M.R. Parrondo, Phys. Rev. Lett. 111, 010602 (2013)CrossRef
86.
87.
D. Andrieux, P. Gaspard, J. Stat. Mech. Theor. Exp. P02006 (2007)
88.
89.
A.E. Allahverdyan, D. Janzing, G. Mahler, J. Stat. Mech. Theor. Exp. P09011 (2009)
90.
91.
P. Strasberg, G. Schaller, T. Brandes, M. Esposito, Phys. Rev. Lett. 110, 040601 (2013)CrossRef
92.
93.
D. Hartich, A.C. Barato, U. Seifert, J. Stat. Mech. P02016 (2014)
94.
95.
J.M. Horowitz, M. Esposito, Phys. Rev. X 4, 031015 (2014)
96.
97.
N. Shiraishi, T. Sagawa, Phys. Rev, E 91, 012130 (2015)
98.
99.
S. Yamamoto, S. Ito, N. Shiraishi, T. Sagawa, Phys. Rev. E 94, 052121 (2016)CrossRef
100.
101.
102.
103.
104.
S. Deffner, C. Jarzynski, Phys. Rev. X 3, 041003 (2013)
105.
106.
107.
108.
109.
P. Strasberg, G. Schaller, T. Brandes, M. Esposito, Phys. Rev. X 7, 021003 (2017)
110.
111.
112.
A.B. Boyd, D. Mandal, P.M. Riechers, J.P. Crutchfield, Phys. Rev. Lett. 118, 220602 (2017)CrossRef
113.
G. Lan, P. Satori, S. Neumann, V. Sourjik, Y. Tu, Nat. Phys. 8, 422–428 (2012)CrossRef
114.
115.
116.
117.
A.H. Lang, C.K. Fisher, T. Mora, P. Mehta, Phys. Rev. Lett. 113, 148103 (2014)CrossRef
118.
P. Sartori, L. Granger, C.F. Lee, J.M. Horowitz, PLoS Compt. Biol. 10, e1003974 (2014)CrossRef
119.
120.
121.
P. Sartori, S. Pigolotti, Phys. Rev. X 5, 041039 (2015)
122.
123.
T.E. Ouldridge, C.C. Govern, P.R. ten Wolde, Phys, Rev. X 7, 021004 (2017)
124.
T. Matsumoto, T. Sagawa, arXiv:1711.00264 (2017)
125.
126.
127.
128.
129.
T. Sagawa, arXiv:1202.0983 (2012); Chapter of Lectures on Quantum Computing, Thermodynamics and Statistical Physics. Kinki University Series on Quantum Computing (World Scientific, Singapore, 2012)
130.
À. M. Alhambra, L. Masanes, J. Oppenheim, C. Perry, Phys. Rev. X 6, 041017 (2016)
131.
W.H. Zurek, in Frontiers of Nonequilibrium Statistical Physics, ed. by G.T. Moore, M.O. Scully. NATO ASI Series (Series B: Physics), vol. 135 (Springer, Boston, 1986). arXiv:quant-ph/0301076
132.
S.W. Kim, T. Sagawa, S. De Liberato, M. Ueda, Phys. Rev. Lett. 106, 070401 (2011)CrossRef
133.
134.
M.A. Nielsen, C.M. Caves, B. Schumacher, H. Barnum, Proc. R. Soc. Lond. A 454, 277 (1998)CrossRef
135.
136.
L. del Rio, J. Aberg, R. Renner, O. Dahlsten, V. Vedral, Nature 474, 61 (2011)CrossRef
137.
138.
139.
J.J. Park, K.-H. Kim, T. Sagawa, S.W. Kim, Phys. Rev. Lett. 111, 230402 (2013)CrossRef
140.
J. Goold, M. Huber, A. Riera, L. del Rio, P. Skrzypzyk, J. Phys. A: Math. Theor. 49, 143001 (2016)CrossRef
141.
142.
F.G.S.L. Brandão, M. Horodecki, N.H.Y. Ng, J. Oppenheim, S. Wehner, Proc. Natl. Acad. Sci. 112, 3275 (2015)CrossRef
143.
144.
145.
Metadata
Title
Second Law, Entropy Production, and Reversibility in Thermodynamics of Information
Author
Takahiro Sagawa
Copyright Year
2019
Book
Energy Limits in Computation

Print ISBN: 978-3-319-93457-0

Electronic ISBN: 978-3-319-93458-7

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-319-93458-7_3