Publication: Fluctuation-induced pressures in fluids in thermal nonequilibrium steady states
Loading...
Official URL
Full text at PDC
Publication Date
2014-02-28
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
Abstract
Correlations in fluids in nonequilibrium steady states are long range. Hence, finite-size effects have important consequences in the nonequilibrium thermodynamics of fluids. One consequence is that nonequilibrium temperature fluctuations induce nonequilibrium Casimir-like pressures proportional to the square of the temperature gradient. Hence, fluctuations cause a breakdown of the concept of local thermal equilibrium. Furthermore, transport coefficients become dependent on boundary conditions and on gravity. Thus nonequilibrium fluctuations affect some traditional concepts in nonequilibrium thermodynamics.
Description
© 2014 American Physical Society. The research was supported by the US National Science Foundation under Grant No. DMR-09-01907. We thank M. L. Huber, E. W. Lemmon, and R. A. Perkins of the US National Institute of Standards and Technology for providing us with relevant thermodynamic-property information for the evaluation of the NE pressures. In addition, J.O.Z. acknowledges support from the UCM/Santander Research Grant No. PR6/13-18867.
UCM subjects
Unesco subjects
Keywords
Citation
[1] M. Kardar and R. Golestanian, Rev. Mod. Phys. 71, 1233 (1999).
[2] H. B. G. Casimir, Proc. Koninklijke Nederlandse Acad. Wetenschappen B 51, 793 (1948).
[3] V. M. Mostepanenko and N. N. Trunov, The Casimir Effect and its Applications (Clarendon, Oxford, 1997).
[4] I. E. Dzyalosshinskii, E. M. Lifshitz, and L. P. Pitaevskii, Adv. Phys. 10, 165 (1961).
[5] J. C. Munday and F. Capasso, Int. J. Mod. Phys. A 25, 2252 (2010).
[6] A. Gambassi, C. Hertlein, L. Helden, C. Bechinger, and S. Dietrich, Europhys. News 40, 18 (2009).
[7] M. E. Fisher and P. G. de Gennes, C. R. Acad. Sci. Paris B 287, 207 (1978).
[8] M. Krech, The Casimir Effect in Critical Systems (World Scientific, Singapore, 1994).
[9] M. Krech, J. Phys. Condens. Matter 11, R391 (1999).
[10] M. Krech, Phys. Rev. E 56, 1642 (1997).
[11] A. Gambassi, A. Maciolek, C. Hertlein, U. Nellen, L. Helden, C. Bechinger, and S. Dietrich, Phys. Rev. E 80, 061143 (2009).
[12] S. Rafai, D. Bonn, and J. Meunier, Physica A 386, 31 (2007).
[13] R. B. Jones, Physica A 105, 395 (1981).
[14] D. Y. C. Chan and L. R. White, Physica A 122, 505 (1983).
[15] J. R. Dorfman, T. R. Kirkpatrick, and J. V. Sengers, Annu. Rev. Phys. Chem. 45, 213 (1994).
[16] M. H. Ernst, E. H. Hauge, and J. M. J. van Leeuwen, Phys. Rev. A 4, 2055 (1971).
[17] M. H. Ernst, E. H. Hauge, and J. M. J. van Leeuwen, J. Stat. Phys. 15, 7 (1976).
[18] M. H. Ernst, E. H. Hauge, and J. M. J. van Leeuwen, J. Stat. Phys. 15, 23 (1976).
[19] Y. Pomeau and P. Résibois, Phys. Rep. 19, 63 (1975).
[20] T. R. Kirkpatrick, D. Belitz, and J. V. Sengers, J. Stat. Phys. 109, 373 (2002).
[21] L. P. Kadanoff and J. Swift, Phys. Rev. 166, 89 (1968).
[22] K. Kawasaki, Ann. Phys. (NY) 61, 1 (1970).
[23] J. V. Sengers, Int. J. Thermophys. 6, 203 (1985).
[24] T. R. Kirkpatrick, E. G. D. Cohen, and J. R. Dorfman, Phys. Rev. A 26, 995 (1982).
[25] T. R. Kirkpatrick, E. G. D. Cohen, and J. R. Dorfman, Phys. Rev. A 26, 950 (1982).
[26] T. R. Kirkpatrick, E. G. D. Cohen, and J. R. Dorfman, Phys. Rev. A 26, 972 (1982).
[27] D. Ronis and I. Procaccia, Phys. Rev. A 26, 1812 (1982).
[28] B. M. Law and J. V. Sengers, J. Stat. Phys. 57, 531 (1989).
[29] J. M. Ortiz de Zárate and J. V. Sengers, Hydrodynamic Fluctuations in Fluids and Fluid Mixtures (Elsevier, Amsterdam, 2006).
[30] P. N. Segr`e, R.W. Gammon, J. V. Sengers, and B. M. Law, Phys. Rev. A 45, 714 (1992).
[31] W.B.Li, P. N. Segrè, R.W. Gammon, and J. V. Sengers, Physica A 204, 399 (1994).
[32] J. M. Ortiz de Zárate, R. Pérez Cordón, and J.V. Sengers, Physica A 291, 113 (2001).
[33] J. M. Ortiz de Zárate and L. Muñoz Redondo, Eur. Phys. J. B 21, 135 (2001).
[34] T. R. Kirkpatrick, J. M. Ortiz de Zárate, and J. V. Sengers, Phys. Rev. Lett. 110, 235902 (2013).
[35] M. E. Fisher, J. Math. Phys. 5, 944 (1964).
[36] J. J. Brey, J. Chem. Phys. 79, 4585 (1983).
[37] M. H. Ernst and J. R. Dorfman, J. Stat. Phys. 12, 311 (1975).
[38] P. N. Segrè, R. Schmitz, and J. V. Sengers, Physica A 195, 31 (1993).
[39] J. M. Ortiz de Zárate and J. V. Sengers, Physica A 300, 25 (2001).
[40] J. M. Ortiz de Zárate and J. V. Sengers, Phys. Rev. E 66, 036305 (2002).
[41] A. Vailati and M. Giglio, Phys. Rev. Lett. 77, 1484 (1996).
[42] C. J. Takacs, A. Vailati, R. Cerbino, S. Mazzoni, M. Giglio, and D. S. Cannell, Phys. Rev. Lett. 106, 244502 (2011).
[43] D. N. Zubarev, Nonequilibrium Statistical Thermodynamics (Consultants Bureau, New York, 1974).
[44] R. Zwanzig, Annu. Rev. Phys. Chem. 16, 67 (1965).
[45] A. Onuki, Phys. Rev. E 55, 403 (1997).
[46] S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Oxford University Press/Dover, Oxford, 1981).
[47] E. W. Lemmon, M. L. Huber, and M. O. McLinden, Standard Reference Database 23, NIST Reference Fluid Thermodynamic and Transport Properties Database (REFPROP); Version 9.0 (Standards Reference Data, National Institute of Standards and Technology, Gaithersburg, MD, 2011).
[48] D. M. Danchev, Phys. Rev. E 58, 1455 (1998).
[49] R. A. Perkins (private communication).
[50] R. T. Schermer, C. C. Olson, J. P. Coleman, and F. Bucholtz, Opt. Express 19, 10571 (2011).
[51] A. Regazetti, M. Hoyos, and M. Martin, J. Phys. Chem. B 108, 15285 (2004).
[52] A. Najafi and R. Golestanian, Europhys. Lett. 68, 776 (2004).
[53] J. M. Ortiz de Zárate and J. V. Sengers, J. Stat. Phys. 115, 1341 (2004).
[54] T. R. Kirkpatrick and E. G. D. Cohen, Phys. Lett. A 88, 44 (1982).
[55] T. R. Kirkpatrick and E. G. D. Cohen, J. Stat. Phys. 33, 639 (1983).
[56] K. Kawasaki and J. D. Gunton, Phys. Rev. A 8, 2048 (1973).
[57] J. W. Dufty and J. A. McLennan, Phys. Rev. A 9, 1266 (1974).
[58] C. K. Wong, J. A. McLennan, M. Lindenfeld, and J. W. Dufty, J. Chem. Phys. 68, 1563 (1978).
[59] R. K. Standish, Phys. Rev. E 60, 5175 (1999).
[60] I. M. de Schepper, H. van Beijeren, and M. H. Ernst, Physica 75, 1 (1974).
[61] J. D. Foch, Ph.D. thesis, Rockefeller University, 1967.
[62] J. A. McLennan, Phys. Rev. A 8, 1479 (1973).
[63] A. Donev, T. G. Fai, and E. Vanden-Eijnden, arXiv:1312.1894 [J. Stat. Mech. (to be published)].
[64] M. H. Ernst, B. Cichocki, J. R. Dorfman, J. Sharma, and H. van Beijeren, J. Stat. Phys. 18, 237 (1978).
[65] J.Kestin and J. R. Dorfman, A Course on Statistical Thermodynamics (Academic, New York, 1971).
[66] J. C. Nieuwoudt, T.Kirkpatrick, and J. R.Dorfman, J. Stat. Phys. 34, 203 (1984).
[67] D. Brogioli and A. Vailati, Phys. Rev. E 63, 012105 (2000).
[68] A. Vailati and M. Giglio, Nature (London) 390, 262 (1997).
[69] A. Vailati and M. Giglio, Phys. Rev. E 58, 4361 (1998).
[70] W. B. Li, K. J. Zhang, J. V. Sengers, R. W. Gammon, and J. M. Ortiz de Zárate, Phys. Rev. Lett. 81, 5580 (1998).
[71] W. B. Li, K. J. Zhang, J. V. Sengers, R. W. Gammon, and J. M. Ortiz de Zárate, J. Chem. Phys. 112, 9139 (2000).
[72] D. Brogioli, A. Vailati, and M. Giglio, J. Phys.: Condens. Matter 12, A39 (2000).
[73] A. Vailati, R. Cerbino, S. Mazzoni, C. J. Takacs, D. S. Cannell, and M. Giglio, Nat. Commun. 2, 290 (2011).
[74] D. Bedeaux and P. Mazur, Physica 73, 431 (1974).
[75] D. Bedeaux and P. Mazur, Physica 75, 79 (1974).
[76] K. Kawasaki and J. D. Gunton, Phys. Rev. A 8, 2048 (1973).
[77] H. Wada and S.-i. Sasa, Phys. Rev. E 67, 065302(R) (2003).