Complementarity relation for irreversible processes near steady states

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A relation giving a minimum for the irreversible work in quasi-equilibrium processes was derived by Sekimoto et al. [K. Sekimoto, S. Sasa, J. Phys. Soc. Japan 66 (1997) 3326] in the framework of stochastic energetics. This relation can also be written as a type of "uncertainty principle" i...

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Detalles Bibliográficos
Autor principal: Santini, E.S
Otros Autores: Carusela, María Florencia, Izquierdo, E.D
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2013
Acceso en línea:Registro en Scopus
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100 1 |a Santini, E.S. 
245 1 0 |a Complementarity relation for irreversible processes near steady states 
260 |c 2013 
270 1 0 |m Santini, E.S.; Comissão Nacional de Energia Nuclear, Rua General Severiano 90, Botafogo (22290-901), Rio de Janeiro, RJ, Brazil; email: santini@cbpf.br 
504 |a Bustamante, C., Liphardt, J., Ritort, F., (2005) Science, 58 (7), p. 43 
504 |a Wang, G.M., Sevick, E.M., Mittag, E., Searles, D.J., Evans, D.J., (2002) Phys. Rev. Lett., 89, p. 050601 
504 |a Liphardt, J., Dumont, S., Smith, S.B., Tinoco, Jr.I., Bustamante, C., (2002) Science, 296, p. 1832 
504 |a Collin, D., Ritort, F., Jarzynski, C., Smith, S., Tinoco, I., Bustamante, C., (2005) Nature, 437, p. 231 
504 |a Blickle, V., Speck, T., Helden, L., Seifert, U., Bechinger, C., (2006) Phys. Rev. Lett., 96, p. 070603 
504 |a Douarche, F., Joubaud, S., Garnier, N.B., Petrosyan, A., Ciliberto, S., (2006) Phys. Rev. Lett., 97, p. 140603 
504 |a Jarzinsky, C., (2008) Eur. Phys. J. B, 64, p. 331 
504 |a Toyabe, S., Sagawa, T., Ueda, M., Muneyuki, E., Sano, M., (2010) Nat. Phys., 6, p. 988 
504 |a Sekimoto, K., Sasa, S., (1997) J. Phys. Soc. Japan, 66, p. 3326. , arxiv:cond-mat/9708032 See also 
504 |a Jou, D., Casas-Vázquez, J., Lebon, G., (1998) Rep. Progr. Phys., 51, p. 1105 
504 |a Keizer, J., (1987) Statistical Thermodynamics of Nonequilibrium Processes, , Springer-Verlag Berlin 
504 |a Eu, B.C., (1998) Nonequilibrium Statistical Mechanics, , Kluwer Academic Publishers Dordrecht 
504 |a Hatano, T., Sasa, S., (2001) Phys. Rev. Lett., 16, p. 3463 
504 |a Oono, Y., Paniconi, M., (1998) Prog. Theoret. Phys. Suppl., 130, p. 29 
504 |a Schmiedl, T., Seifert, U., (2007) Phys. Rev. Lett., 98, p. 108301 
504 |a Sekimoto, K., (1997) J. Phys. Soc. Japan, 66, p. 1234 
504 |a Sekimoto, K., (2010) Stochastic Energetics, 799 VOL.. , Lect. Notes in Phys. Springer Berlin, Heidelberg 
504 |a Seifert, U., Stochastic Thermodynamics (2008) Lecture Notes: "soft Matter: From Synthetic to Biological Materials", 39. , IFF Spring School, Institute of Solid State Research, Research Centre 
504 |a Sekimoto, K., (1998) Prog. Theoret. Phys. Suppl., 130, p. 17 
504 |a Gardiner, C.W., (1990) Handbook of Stochastic Methods, , second ed. Springer-Verlag Berlin 
504 |a Sekimoto, K., Private communication; Trepagnier, E.H., Jarzynski, C., Ritort, F., Crooks, G.E., Bustamante, C.J., Liphardt, J., (2004) Proc. Natl. Acad. Sci. USA, 101, p. 15038 
504 |a Wirtz, D., (1995) Phys. Rev. Lett., 75 (12), p. 2436 
504 |a Speck, T., Blickle, V., Bechinger, C., Seifert, U., (2007) EPL, 79, p. 30002 
504 |a Landau, L.D., Lifshitz, E.M., Statistical physics (part 1) (1980) Course of Theoretical Physics, Vol. 5, , third revised and enlarged edition Pergamon Press (Chapter XII) 
506 |2 openaire  |e Política editorial 
520 3 |a A relation giving a minimum for the irreversible work in quasi-equilibrium processes was derived by Sekimoto et al. [K. Sekimoto, S. Sasa, J. Phys. Soc. Japan 66 (1997) 3326] in the framework of stochastic energetics. This relation can also be written as a type of "uncertainty principle" in such a way that the precise determination of the Helmholtz free energy through the observation of the work 〈W〉 requires an indefinitely large experimental time Δt. In the present article, we extend this relation to the case of quasi-steady processes by using the concept of non-equilibrium Helmholtz free energy. We give a formulation of the second law for these processes that extends that presented by Sekimoto [K. Sekimoto, Prog. Theoret. Phys. Suppl. No. 130 (1998) 17] by a term of the first order in the inverse of the experimental time. As an application of our results, two possible experimental situations are considered: stretching of a RNA molecule and the drag of a dipolar particle in the presence of a gradient of electric force. © 2013 Elsevier B.V. All rights reserved.  |l eng 
536 |a Detalles de la financiación: Ministério da Ciência, Tecnologia e Inovação 
536 |a Detalles de la financiación: Consejo Nacional de Investigaciones Científicas y Técnicas 
536 |a Detalles de la financiación: The authors wish to thank Prof. Ken Sekimoto for the fruitful discussions and private communications. We are also thankful for the enlightened criticism made by the anonymous referee 2. We would like to thank Consejo Nacional de Investigaciones Científicas y Técnicas from Argentina and the Ministério da Ciência , Tecnologia e Inovação / CNEN / CBPF of Brazil for their financial support. Appendix A 
593 |a Comissão Nacional de Energia Nuclear, Rua General Severiano 90, Botafogo (22290-901), Rio de Janeiro, RJ, Brazil 
593 |a Universidad Nacional de General Sarmiento, Instituto de Ciencias, J. M. Gutiérrez 1150, Malvinas Argentinas (1613), Pcia de Buenos Aires, Argentina 
593 |a Centro Brasileiro de Pesquisas Físicas - ICRA-BR, Rua Dr. Xavier Sigaud 150, Urca (22290-180), Rio de Janeiro, RJ, Brazil 
593 |a Ciclo Básico Común, Universidad de Buenos Aires, Cdad. Universitaria, Pab. 3, (1428) Buenos Aires, Argentina 
593 |a Facultad de Agronomía, Universidad de Buenos Aires, Av. Av. San Martn 4453, Cap. Fed., Buenos Aires (C1417DSE), Argentina 
593 |a Consejo Nacional de Investigaciones Científicas y Técnicas, Av. Rivadavia 1917, (1033)-Buenos Aires, Argentina 
690 1 0 |a FLUCTUATION PHENOMENA 
690 1 0 |a LANGEVIN EQUATION 
690 1 0 |a STOCHASTIC ENERGETICS 
690 1 0 |a THERMODYNAMICS 
690 1 0 |a COMPLEMENTARITY RELATIONS 
690 1 0 |a FLUCTUATION PHENOMENA 
690 1 0 |a IRREVERSIBLE PROCESS 
690 1 0 |a LANGEVIN EQUATION 
690 1 0 |a PRECISE DETERMINATIONS 
690 1 0 |a QUASI-EQUILIBRIUM PROCESS 
690 1 0 |a STOCHASTIC ENERGETICS 
690 1 0 |a UNCERTAINTY PRINCIPLES 
690 1 0 |a DIFFERENTIAL EQUATIONS 
690 1 0 |a FREE ENERGY 
690 1 0 |a RNA 
690 1 0 |a STOCHASTIC SYSTEMS 
690 1 0 |a THERMODYNAMICS 
690 1 0 |a STATISTICAL MECHANICS 
700 1 |a Carusela, María Florencia 
700 1 |a Izquierdo, E.D. 
773 0 |d 2013  |g v. 392  |h pp. 4856-4867  |k n. 20  |p Phys A Stat Mech Appl  |x 03784371  |w (AR-BaUEN)CENRE-280  |t Physica A: Statistical Mechanics and its Applications 
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856 4 0 |u https://doi.org/10.1016/j.physa.2013.06.045  |x doi  |y DOI 
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963 |a VARI 

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