RT Journal Article
T1 Giant Casimir effect in fluids in nonequilibrium steady states
A1 Kirkpatrick, T. R.
A1 Ortiz de Zárate Leira, José María
A1 Sengers, J. V.
AB In this Letter, we consider the fluctuation-induced force exerted between two plates separated by a distance L in a fluid with a temperature gradient. We predict that for a range of distances L, this nonequilibrium force is anomalously large compared to other Casimir forces. The physical reason is that correlations in a nonequilibrium fluid are generally of longer range than other correlations, even than those near an equilibrium critical point. This giant Casimir force is related to a divergent Burnett coefficient that characterizes an Onsager cross effect between the pressure and the temperature gradient. The predicted Casimir force should be detectable with currently available experimental techniques.
PB American Physical Society
SN 0031-9007
YR 2013
FD 2013-06-07
LK https://hdl.handle.net/20.500.14352/33691
UL https://hdl.handle.net/20.500.14352/33691
LA eng
NO [1] M. Kardar and R. Golestanian, Rev. Mod. Phys. 71, 1233 (1999).[2] H. B. G. Casimir, Proc. Kon. Ned. Akad. Wet. B51, 793 (1948).[3] M. Antezza, L. P. Pitaevskii, S. Stringari, and V. B. Svetovoy, Phys. Rev. A 77, 022901 (2008).[4] M. Krüger, T. Emig, and M. Kardar, Phys. Rev. Lett. 106, 210404 (2011).[5] M. E. Fisher and P.-G. de Gennes, C. R. Acad. Sci. Paris B 287, 207 (1978).[6] A. Gambassi, C. Hertlein, L. Heiden, S. Dietrich, and C. Bechinger, Europhys. News 40, 18 (2009).[7] M. Krech, J. Phys. Condens. Matter 11, R391 (1999).[8] J. R. Dorfman, T. R. Kirkpatrick, and J.V. Sengers, Annu. Rev. Phys. Chem. 45, 213 (1994).[9] T. R. Kirkpatrick, E. G. D. Cohen, and J. R. Dorfman, Phys. Rev. A 26, 995 (1982).[10] D. Ronis and I. Procaccia, Phys. Rev. A 26, 1812 (1982).[11] P. N. Segrè, R.W. Gammon, J.V. Sengers, and B. M. Law, Phys. Rev. A 45, 714 (1992).[12] W. B. Li, P. N. Segrè, R.W. Gammon, and J.V. Sengers, Physica (Amsterdam) 204A, 399 (1994).[13] C. J. Takacs, A. Vailati, R. Cerbino, S. Mazzoni, M. Giglio, and D. S. Cannell, Phys. Rev. Lett. 106, 244502 (2011).[14] M. E. Fisher, J. Math. Phys. (N.Y.) 5, 944 (1964).[15] C. K. Wong, J. A. McLennan, M. Lindenfeld, and J.W. Dufty, J. Chem. Phys. 68, 1663 (1978).[16] Y. Pomeau and P. Résibois, Phys. Rep. 19, 63 (1975).[17] M. H. Ernst and J. R. Dorfman, J. Stat. Phys. 12, 311 (1975).[18] J. Brey, J. Chem. Phys. 79, 4585 (1983).[19] D. N. Zubarev, Nonequilibrium Statistical Thermodynamics (Consultants Bureau, New York, 1974).[20] M. H. Ernst, E. H. Hauge, and J. M. J. van Leeuwen, J. Stat. Phys. 15, 7 (1976).[21] T. R. Kirkpatrick, E. G. D. Cohen, and J. R. Dorfman, Phys. Rev. A 26, 950 (1982).[22] M. H. Ernst, E. H. Hauge, and J. M. J. van Leeuwen, J. Stat. Phys. 15, 23 (1976).[23] J. M. Ortiz de Zárate and J.V. Sengers, Hydrodynamic Fluctuations in Fluids and Fluid Mixtures (Elsevier, Amsterdam, 2006).[24] J. M. Ortiz de Zárate, R. Pérez Cordón, and J.V. Sengers, Physica (Amsterdam) 291A, 113 (2001).[25] J. M. Ortiz de Zárate and L. Muñoz Redondo, Eur. Phys. J. B 21, 135 (2001).[26] E.W. Lemmon and R. Span, J. Chem. Eng. Data 51, 785 (2006).[27] D. M. Danchev, Phys. Rev. E 58, 1455 (1998).[28] D. Rudhardt, C. Bechinger, and P. Leiderer, J. Phys. Condens. Matter 11, 10 073 (1999).[29] C. Hertlein, L. Helden, A. Gambassi, S. Dietrich, and C. Bechinger, Nature (London) 451, 172 (2008).[30] B. M. Law and J. C. Nieuwoudt, Phys. Rev. A 40, 3880 (1989).[31] A. Vailati and M. Giglio, Phys. Rev. Lett. 77, 1484 (1996).[32] W. B. Li, K. J. Zhang, J.V. Sengers, R.W. Gammon, and J. M. Ortiz de Zárate, J. Chem. Phys. 112, 9139 (2000).[33] A. Vailati, R. Cerbino, S. Mazzoni, C. J. Takacs, D. S. Cannell, and M. Giglio, Nat. Commun. 2, 290 (2011).[34] J. M. Ortiz de Zárate and J.V. Sengers, Physica (Amsterdam) 300A, 25 (2001).[35] J. M. Ortiz de Zárate and J.V. Sengers, Phys. Rev. E 66, 036305 (2002).[36] A. Najafi and R. Golestanian, Europhys. Lett. 68, 776 (2004).[37] J. M. Ortiz de Zárate and J.V. Sengers, J. Stat. Phys. 115, 1363 (2004).
NO © 2013 American Physical Society. We thank M. L. Huber and E. W. Lemmon at the U.S. National Institute of Standards and Technology for providing us with the relevant thermophysical-property information for saturated liquid toluene and C. Vélez at the Universidad Complutense for assisting us with obtaining quantitative estimates for pNE. The research was supported by the U.S. National Science Foundation under Grant No. DMR-09-01907.
NO U.S. National Science Foundation
DS Docta Complutense
RD 1 may 2024