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Stochastic thermodynamics of hidden pumps

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2015-05-11
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American Physical Society
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We show that a reversible pumping mechanism operating between two states of a kinetic network can give rise to Poisson transitions between these two states. An external observer, for whom the pumping mechanism is not accessible, will observe a Markov chain satisfying local detailed balance with an emerging effective force induced by the hidden pump. Due to the reversibility of the pump, the actual entropy production turns out to be lower than the coarse-grained entropy production estimated from the flows and affinities of the resulting Markov chain. Moreover, in presence of a large time scale separation between the fast-pumping dynamics and the slow-network dynamics, a finite current with zero dissipation may be produced. We make use of these general results to build a synthetase-like kinetic scheme able to reversibly produce high free-energy molecules at a finite rate and a rotatory motor achieving 100% efficiency at finite speed.
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© 2015 American Physical Society. M.E. is supported by the National Research Fund, Luxembourg in the frame of project FNR/A11/02. J.M.R.P. acknowledges financial support from Grant ENFASIS (No. FIS2011-22644, Spanish Government). This work also benefited from the COST Action Grant No. MP1209.
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[1] T. H. Hill, Free Energy Transduction and Biochemical Cycle Kinetics (Academic Press, New York, 1977). [2] J. Schnakenberg, Rev. Mod. Phys. 48, 571 (1976). [3] K. Sekimoto, Stochastic Energetics (Springer, Berlin, 2010). [4] U. Seifert, Rep. Prog. Phys. 75, 126001 (2012). [5] X.-J. Zhang, H. Qian, and M. Qian, Phys. Rep. 510, 1 (2012). [6] C. Van den Broeck and M. Esposito, Physica A 418, 6 (2015). [7] J. M. P. Parrondo and B. J. de Cisneros, Appl. Phys. A 75, 179 (2002). [8] A. W. C. Lau, D. Lacoste, and K. Mallick, Phys. Rev. Lett. 99, 158102 (2007). [9] U. Seifert, Eur. Phys. J. E 34, 26 (2011). [10] P. Gaspard and E. Gerritsma, J. Theor. Biol. 247, 672 (2007). [11] S. Rahav and C. Jarzynski, J. Stat. Mech. (2007) P09012. [12] A. Gomez-Marin, J. M. R. Parrondo, and C. Van den Broeck, Phys. Rev. E 78, 011107 (2008). [13] A. Puglisi, S. Pigolotti, L. Rondoni, and A. Vulpiani, J. Stat. Mech. (2010) P05015. [14] G. Bulnes Cuetara, M. Esposito, and P. Gaspard, Phys. Rev. B 84, 165114 (2011). [15] G. Bulnes Cuetara, M. Esposito, G. Schaller, and P. Gaspard, Phys. Rev. B 88, 115134 (2013). [16] G. Diana and M. Esposito, J. Stat. Mech. (2014) P04010. [17] J. Mehl, B. Lander, C. Bechinger, V. Blickle, and U. Seifert, Phys. Rev. Lett. 108, 220601 (2012). [18] T. Leonard, B. Lander, U. Seifert, and T. Speck, J. Chem. Phys. 139, 204109 (2013). [19] B. Altaner and J. Vollmer, Phys. Rev. Lett. 108, 228101 (2012). [20] J. M. Horowitz, T. Sagawa, and J. M. R. Parrondo, Phys. Rev. Lett. 111, 010602 (2013). [21] S. Bo and A. Celani, J. Stat. Phys. 154, 1325 (2014). [22] R. Kawai, J. M. R. Parrondo, and C. Van den Broeck, Phys. Rev. Lett. 98, 080602 (2007). [23] M. Esposito, Phys. Rev. E 85, 041125 (2012). [24] E. Roldán and J. M. R. Parrondo, Phys. Rev. Lett. 105, 150607 (2010). [25] E. Roldán and J. M. R. Parrondo, Phys. Rev. E 85, 031129 (2012). [26] S. Muy, A. Kundu, and D. Lacoste, J. Chem. Phys. 139, 124109 (2013). [27] A. Celani, S. Bo, R. Eichhorn, and E. Aurell, Phys. Rev. Lett. 109, 260603 (2012). [28] K. Kawaguchi and Y. Nakayama, Phys. Rev. E 88, 022147 (2013). [29] J. M. R. Parrondo, Phys. Rev. E 57, 7297 (1998). [30] R. D. Astumian and I. Der´enyi, Phys. Rev. Lett. 86, 3859 (2001). [31] R. D. Astumian, Phys. Rev. Lett. 91, 118102 (2003). [32] R. D. Astumian, Proc. Natl. Acad. Sci. USA 104, 19715 (2007). [33] N. A. Sinitsyn and I. Nemenman, Euro. Phys. Lett. 77, 58001 (2007). [34] S. Rahav, J. Horowitz, and C. Jarzynski, Phys. Rev. Lett. 101, 140602 (2008). [35] P. Gaspard, J. Stat. Phys. 117, 599 (2004). [36] S. Deffner and C. Jarzynski, Phys. Rev. X 3, 041003 (2013).
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