SCOPUS 정보 검색 플랫폼

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 85, Issue 3, 2012, Pages

Entropy production and Kullback-Leibler divergence between stationary trajectories of discrete systems

(2) Roldán, Édgar a Parrondo, Juan M R a

a UNIVERSIDAD COMPLUTENSE DE MADRID (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETE SYSTEMS; ENTROPY PRODUCTION; FINITE NUMBER; FLASHING RATCHET; KULLBACK-LEIBLER DIVERGENCE; LOWER BOUNDS; NUMBER OF DEGREES OF FREEDOM; NUMERICAL TECHNIQUES; PHYSICAL PROCESS; STATIONARY TIME SERIES; STATIONARY TRAJECTORY; STOCHASTIC DYNAMICS; TIME-REVERSED;

ESTIMATION; TIME SERIES; TRAJECTORIES;

ENTROPY;

EID: 84859021894 PISSN: 15393755 EISSN: 15502376 Source Type: Journal
DOI: 10.1103/PhysRevE.85.031129 Document Type: Article

Times cited : (150)

References (48)

1
- 33847255930
- Dissipation: The phase-space perspective
- DOI 10.1103/PhysRevLett.98.080602
- R. Kawai, J. M. R. Parrondo, and C. Vanden Broeck, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.080602 98, 080602 (2007). (Pubitemid 46326134)
- (2007) Physical Review Letters , vol.98 , Issue.8 , pp. 080602
- Kawai, R.¹ Parrondo, J.M.R.² Van Den Broeck, C.³

2
- 67651236152
- NJOPFM 1367-2630 10.1088/1367-2630/11/7/073008
- J. M. R. Parrondo, C. V. den Broeck, and R. Kawai, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/11/7/073008 11, 073008 (2009).
- (2009) New J. Phys. , vol.11 , pp. 073008
- Parrondo, J.M.R.¹ Den Broeck, C.V.² Kawai, R.³

3
- 84889281816
- Wiley, Hoboken, NJ
- T. M. Cover and J. A. Thomas, Elements of Information Theory, 2nd ed. (Wiley, Hoboken, NJ, 2006).
- (2006) Elements of Information Theory
- Cover, T.M.¹ Thomas, J.A.²

4
- 79960221901
- 1742-5468 10.1088/1742-5468/2011/06/P06003
- G. E. Crooks and D. A. Sivak, J. Stat. Mech.: Theory Exp. 1742-5468 10.1088/1742-5468/2011/06/P06003 (2011) P06003.
- J. Stat. Mech.: Theory Exp. , vol.2011 , pp. 06003
- Crooks, G.E.¹ Sivak, D.A.²

5
- 0346672421
- Time-Reversal and Entropy
- DOI 10.1023/A:1021026930129
- C. Maes and K. Netocny, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1021026930129 110, 269 (2003). (Pubitemid 38103736)
- (2003) Journal of Statistical Physics , vol.110 , Issue.1-2 , pp. 269-310
- Maes, C.¹ Netocny, K.²

6
- 33645666178
- PLEEE8 1539-3755 10.1103/PhysRevE.73.046105
- C. Jarzynski, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.73.046105 73, 046105 (2006).
- (2006) Phys. Rev. e , vol.73 , pp. 046105
- Jarzynski, C.¹

7
- 7244247460
- Time-reversed dynamical entropy and irreversibility in Markovian random processes
- DOI 10.1007/s10955-004-3455-1
- P. Gaspard, J. Stat. Phys. JSTPBS 0022-4715 10.1007/s10955-004-3455-1 117, 599 (2004). (Pubitemid 39436592)
- (2004) Journal of Statistical Physics , vol.117 , Issue.3-4 , pp. 599-615
- Gaspard, P.¹

8
- 78651385548
- PLEEE8 1539-3755 10.1103/PhysRevE.82.052104
- P. Zolfaghari, S. Zare, and B. Mirza, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.052104 82, 052104 (2010).
- (2010) Phys. Rev. e , vol.82 , pp. 052104
- Zolfaghari, P.¹ Zare, S.² Mirza, B.³

9
- 77957800581
- PRLTAO 0031-9007 10.1103/PhysRevLett.105.150607
- E. Roldán and J. M. R. Parrondo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.150607 105, 150607 (2010).
- (2010) Phys. Rev. Lett. , vol.105 , pp. 150607
- Roldán, E.¹ Parrondo, J.M.R.²

10
- 0033246864
- JSTPBS 0022-4715 10.1023/A:1004589714161
- J. L. Lebowitz and H. Spohn, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1004589714161 95, 333 (1999).
- (1999) J. Stat. Phys. , vol.95 , pp. 333
- Lebowitz, J.L.¹ Spohn, H.²

11
- 84859018650
- O. Mazonka and C. Jarzynski, e-print arXiv: cond-mat/9912121
- O. Mazonka and C. Jarzynski, e-print arXiv: cond-mat/9912121.

12
- 2342575459
- PRLTAO 0031-9007 10.1103/PhysRevLett.92.130601
- R. van Zon, S. Ciliberto, and E. G. D. Cohen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.130601 92, 130601 (2004).
- (2004) Phys. Rev. Lett. , vol.92 , pp. 130601
- Van Zon, R.¹ Ciliberto, S.² Cohen, E.G.D.³

13
- 27144483816
- Entropy production along a stochastic trajectory and an integral fluctuation theorem
- DOI 10.1103/PhysRevLett.95.040602, 040602
- U. Seifert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95. 040602 95, 040602 (2005). (Pubitemid 41506195)
- (2005) Physical Review Letters , vol.95 , Issue.4 , pp. 1-4
- Seifert, U.¹

14
- 34147144017
- Entropy production and time asymmetry in nonequilibrium fluctuations
- DOI 10.1103/PhysRevLett.98.150601
- D. Andrieux, P. Gaspard, S. Ciliberto, N. Garnier, S. Joubaud, and A. Petrosyan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.150601 98, 150601 (2007). (Pubitemid 46574384)
- (2007) Physical Review Letters , vol.98 , Issue.15 , pp. 150601
- Andrieux, D.¹ Gaspard, P.² Ciliberto, S.³ Garnier, N.⁴ Joubaud, S.⁵ Petrosyan, A.⁶

15
- 61449104482
- PLEEE8 1539-3755 10.1103/PhysRevE.79.021106
- J. Horowitz and C. Jarzynski, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.79.021106 79, 021106 (2009).
- (2009) Phys. Rev. e , vol.79 , pp. 021106
- Horowitz, J.¹ Jarzynski, C.²

16
- 47249094772
- EULEEJ 0295-5075 10.1209/0295-5075/82/50002
- A. Gomez-Marin, J. M. R. Parrondo, and C. V. den Broeck, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/82/50002 82, 50002 (2008).
- (2008) Europhys. Lett. , vol.82 , pp. 50002
- Gomez-Marin, A.¹ Parrondo, J.M.R.² Den Broeck, C.V.³

17
- 0040120726
- Fluctuation theorem for stochastic dynamics
- DOI 10.1088/0305-4470/31/16/003
- J. Kurchan, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/31/16/003 31, 3719 (1998). (Pubitemid 128059972)
- (1998) Journal of Physics A: Mathematical and General , vol.31 , Issue.16 , pp. 3719-3730
- Kurchan, J.¹

18
- 27944481256
- Nonequilibrium fluctuations in a resistor
- DOI 10.1103/PhysRevE.71.060101, 060101
- N. Garnier and S. Ciliberto, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.71.060101 71, 060101 (2005). (Pubitemid 41663716)
- (2005) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics , vol.71 , Issue.6 , pp. 1-4
- Garnier, N.¹ Ciliberto, S.²

19
- 0035807872
- Comparison of a hair bundle's spontaneous oscillations with its response to mechanical stimulation reveals the underlying active process
- DOI 10.1073/pnas.251530598
- P. Martin, A. J. Hudspeth, and F. Jülicher, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.251530598 98, 14380 (2001). (Pubitemid 33121400)
- (2001) Proceedings of the National Academy of Sciences of the United States of America , vol.98 , Issue.25 , pp. 14380-14385
- Martin, P.¹ Hudspeth, A.J.² Julicher, F.³

20
- 75749125019
- JCPSA6 0021-9606 10.1063/1.3294567
- C. P. Amann, T. Schmiedl, and U. Seifert, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.3294567 132, 041102 (2010).
- (2010) J. Chem. Phys. , vol.132 , pp. 041102
- Amann, C.P.¹ Schmiedl, T.² Seifert, U.³

21
- 37649031328
- PLEEE8 1539-3755 10.1103/PhysRevE.69.056208
- M. B. Kennel, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.69.056208 69, 056208 (2004).
- (2004) Phys. Rev. e , vol.69 , pp. 056208
- Kennel, M.B.¹

22
- 84859097888
- Springer, Berlin
- D. P. Coutinho and M. A. Figueiredo, Pattern Recognition and Image Analysis, Vol. 3523 of Lecture Notes in Computer Science (Springer, Berlin, 2005).
- (2005) Pattern Recognition and Image Analysis
- Coutinho, D.P.¹ Figueiredo, M.A.²

23
- 2442538938
- IETTAW 0018-9448 10.1109/TIT.2004.826687
- Z. Rached, F. Alajaji, and L. L. Campbell, IEEE Trans. Inf. Theory IETTAW 0018-9448 10.1109/TIT.2004.826687 50, 917 (2004).
- (2004) IEEE Trans. Inf. Theory , vol.50 , pp. 917
- Rached, Z.¹ Alajaji, F.² Campbell, L.L.³

24
- 26444495559
- Divergence estimation of continuous distributions based on data-dependent partitions
- DOI 10.1109/TIT.2005.853314
- Q. Wang, S. Kulkarni, and S. Verdu, IEEE Trans. Inf. Theory IETTAW 0018-9448 10.1109/TIT.2005.853314 51, 3064 (2005). (Pubitemid 41430975)
- (2005) IEEE Transactions on Information Theory , vol.51 , Issue.9 , pp. 3064-3074
- Wang, Q.¹ Kulkarni, S.R.² Verdu, S.³

25
- 80051601039
- ENTRFG 1099-4300 10.3390/e13071229
- M. Budka, B. Gabrys, and K. Musial, Entropy ENTRFG 1099-4300 10.3390/e13071229 13, 1229 (2011).
- (2011) Entropy , vol.13 , pp. 1229
- Budka, M.¹ Gabrys, B.² Musial, K.³

26
- 0027632406
- 0018-9448 10.1109/18.243444
- J. Ziv and N. Merhav, IEEE Trans. Inf. Theory 0018-9448 10.1109/18.243444 39, 1270 (1993).
- (1993) IEEE Trans. Inf. Theory , vol.39 , pp. 1270
- Ziv, J.¹ Merhav, N.²

27
- 0000765761
- PLEEE8 1539-3755 10.1103/PhysRevE.60.2721
- G. E. Crooks, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.60.2721 60, 2721 (1999).
- (1999) Phys. Rev. e , vol.60 , pp. 2721
- Crooks, G.E.¹

28
- 8344245726
- C. Maes, Sem. Poincaré 2, 29 (2003).
- (2003) Sem. Poincaré , vol.2 , pp. 29
- Maes, C.¹

29
- 0033196219
- JSTPBS 0022-4715 10.1023/A:1004604804070
- E. Cohen and G. Gallavotti, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1004604804070 96, 1343 (1999).
- (1999) J. Stat. Phys. , vol.96 , pp. 1343
- Cohen, E.¹ Gallavotti, G.²

30
- 40549129699
- Fluctuation theorem for entropy production during effusion of a relativistic ideal gas
- DOI 10.1103/PhysRevE.77.022103
- B. Cleuren, K. Willaert, A. Engel, and C. Van den Broeck, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.77.022103 77, 022103 (2008). (Pubitemid 351366275)
- (2008) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics , vol.77 , Issue.2 , pp. 022103
- Cleuren, B.¹ Willaert, K.² Engel, A.³ Van Den Broeck, C.⁴

31
- 47249141938
- PLEEE8 1539-3755 10.1103/PhysRevE.78.011107
- A. Gomez-Marin, J. M. R. Parrondo, and C. Van den Broeck, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.011107 78, 011107 (2008).
- (2008) Phys. Rev. e , vol.78 , pp. 011107
- Gomez-Marin, A.¹ Parrondo, J.M.R.² Van Den Broeck, C.³

32
- 0033705343
- IBMJAE 0018-8646 10.1147/rd.441.0261
- R. Landauer, IBM J. Res. Dev. IBMJAE 0018-8646 10.1147/rd.441.0261 44, 261 (2000).
- (2000) IBM J. Res. Dev. , vol.44 , pp. 261
- Landauer, R.¹

33
- 47749114982
- Nonequilibrium generation of information in copolymerization processes
- DOI 10.1073/pnas.0802049105
- D. Andrieux and P. Gaspard, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0802049105 105, 9516 (2008). (Pubitemid 352031333)
- (2008) Proceedings of the National Academy of Sciences of the United States of America , vol.105 , Issue.28 , pp. 9516-9521
- Andrieux, D.¹ Gaspard, P.²

34
- 0036681040
- Energetics of Brownian motors: A review
- DOI 10.1007/s003390201332
- J. M. R. Parrondo and B. J. de Cisneros, Appl. Phys. A APAMFC 0947-8396 10.1007/s003390201332 75, 179 (2002). (Pubitemid 34600187)
- (2002) Applied Physics A: Materials Science and Processing , vol.75 , Issue.2 , pp. 179-191
- Parrondo, J.M.R.¹ De Cisneros, B.J.²

35
- 0022594196
- 0740-7467 10.1109/MASSP.1986.1165342
- L. Rabiner and B. Juang, IEEE ASSP Magazine 0740-7467 10.1109/MASSP.1986.1165342 3, 4 (1986).
- (1986) IEEE ASSP Magazine , vol.3 , pp. 4
- Rabiner, L.¹ Juang, B.²

36
- 45749088482
- TCSCDI 0304-3975 10.1016/j.tcs.2008.01.012
- P. Jacquet, G. Seroussi, and W. Szpankowski, Theor. Comput. Sci. TCSCDI 0304-3975 10.1016/j.tcs.2008.01.012 395, 203 (2008).
- (2008) Theor. Comput. Sci. , vol.395 , pp. 203
- Jacquet, P.¹ Seroussi, G.² Szpankowski, W.³

37
- 33746645650
- Capacity of finite state channels based on lyapunov exponents of random matrices
- DOI 10.1109/TIT.2006.878230
- P. G. T. Holliday and A. Goldsmith, IEEE Trans. Inf. Theory 0018-9448 10.1109/TIT.2006.878230 52, 3509 (2006). (Pubitemid 44145113)
- (2006) IEEE Transactions on Information Theory , vol.52 , Issue.8 , pp. 3509-3532
- Holliday, T.¹ Goldsmith, A.² Glynn, P.³

38
- 0003625442
- Springer Series in Solid State Sciences
- A. Crisanti, G. Paladin, and A. Vulpiani, Products of Random Matrices in Statistical Physics (Springer Series in Solid State Sciences, 1993).
- (1993) Products of Random Matrices in Statistical Physics
- Crisanti, A.¹ Paladin, G.² Vulpiani, A.³

39
- 1342315068
- PLEEE8 1539-3755 10.1103/PhysRevE.53.2960
- M. J. de Oliveira and A. Petri, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.53.2960 53, 2960 (1996).
- (1996) Phys. Rev. e , vol.53 , pp. 2960
- De Oliveira, M.J.¹ Petri, A.²

40
- 0040973114
- Entropy estimation of symbol sequences
- DOI 10.1063/1.166191, Synchronization and Patterns in Complex Systems
- T. Schurmann and P. Grassberger, Chaos CHAOEH 1054-1500 10.1063/1.166191 6, 414 (1996). (Pubitemid 126130993)
- (1996) Chaos , vol.6 , Issue.3 , pp. 414-427
- Schuermann, T.¹ Grassberger, P.²

41
- 33746656746
- Universal divergence estimation for finite-alphabet sources
- DOI 10.1109/TIT.2006.878182
- H. Cai, S. Kulkarni, and S. Verdu, IEEE Trans. Inf. Theory IETTAW 0018-9448 10.1109/TIT.2006.878182 52, 3456 (2006). (Pubitemid 44145110)
- (2006) IEEE Transactions on Information Theory , vol.52 , Issue.8 , pp. 3456-3475
- Cai, H.¹ Kulkarni, S.R.² Verdu, S.³

42
- 0018019231
- IETTAW 0018-9448 10.1109/TIT.1978.1055934
- J. Ziv and A. Lempel, IEEE Trans. Inf. Theory IETTAW 0018-9448 10.1109/TIT.1978.1055934 24, 530 (1978).
- (1978) IEEE Trans. Inf. Theory , vol.24 , pp. 530
- Ziv, J.¹ Lempel, A.²

43
- 78149488605
- 9781-4244 10.1109/ICPR.2010.940
- D. P. Coutinho, A. L. Fred, and M. A. Figueiredo, 20th International Conference on Pattern Recognition 9781-4244 10.1109/ICPR.2010.940, 3858 (2010).
- (2010) 20th International Conference on Pattern Recognition , pp. 3858
- Coutinho, D.P.¹ Fred, A.L.² Figueiredo, M.A.³

44
- 0002142654
- JPRBAM 0021-9002 10.2307/3212273
- J. F. C. Kingman, J. Appl. Prob. JPRBAM 0021-9002 10.2307/3212273 6, 1 (1969).
- (1969) J. Appl. Prob. , vol.6 , pp. 1
- Kingman, J.F.C.¹

45
- 0000006523
- A. Ajdari and J. Prost, C. R. Acad. Sci. Paris Ser. II 315, 1635 (1992).
- (1992) C. R. Acad. Sci. Paris Ser. II , vol.315 , pp. 1635
- Ajdari, A.¹ Prost, J.²

46
- 84859053176
- matlab R2011b documentation (curve fitting toolbox)
- matlab R2011b documentation (curve fitting toolbox), http://www. mathworks.es/help/toolbox/curvefit/.

47
- 69949116061
- PLEEE8 1539-3755 10.1103/PhysRevE.80.021923
- D. Lacoste and K. Mallick, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.021923 80, 021923 (2009).
- (2009) Phys. Rev. e , vol.80 , pp. 021923
- Lacoste, D.¹ Mallick, K.²

48
- 0000311451
- JPHAC5 0305-4470 10.1088/0305-4470/12/4/016
- J. van Hemmen and R. Palmer, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/12/4/016 12, 563 (1979).
- (1979) J. Phys. A , vol.12 , pp. 563
- Van Hemmen, J.¹ Palmer, R.²

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.