Publication:
Casimir forces in granular and other non equilibrium systems

dc.contributor.authorBrito, Ricardo
dc.contributor.authorSoto, R.
dc.date.accessioned2023-06-20T10:34:50Z
dc.date.available2023-06-20T10:34:50Z
dc.date.issued2007-12
dc.description© Springer-Verlag 2007. The authors want to thank C. Cattuto for performing the computer simulations in the granular case. R.B. is supported by the Projects MOSAICO, FIS2004-271 and and UCM PR27/05- 13923-BSCH. U.M.B.M. acknowledges a grant COFIN-MIUR 2005, 2005027808. R.S. is supported by Fondecyt research grants 1030993 and 1061112 and Fondap grant 11980002.
dc.description.abstractIn this paper we present a method to calculate Casimir Forces for non equilibrium systems with long range correlations. The origin of the force are the fluctuating fields, and the modification that the external, macroscopic objects induce in the spectrum of the fluctuations. The method is first illustrated with a simple model: a reaction-diffusion non-equilibrium system with an structure factor that possesses a characteristic length. The second part of the paper deals with a granular fluid where correlations are long ranged at all scales. In the first case the hydrodynamic fluctuations are confined by two plates, while in the second one the confinement comes from two immobile large and heavy particles. In both cases Casimir forces are calculated, and their properties analyzed.
dc.description.departmentDepto. de Estructura de la Materia, Física Térmica y Electrónica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMOSAICO
dc.description.sponsorshipFondecyt
dc.description.sponsorshipFondap
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/21316
dc.identifier.citation1. Casimir, H.B.G.: Proc. K. Ned. Akad. Wet. 51, 793 (1948) 2. Lamoreaux, S.K.: Phys. Rev. Lett. 78, 5 (1997) 3. Lamoreaux, S.K.: Phys. Rev. Lett. 81, 5475 (1998) 4. Mohideen, U., Roy, A.: Phys. Rev. Lett. 81, 4549 (1998) 5. Roy, A., Lin,C.-Y., Mohideen,U.: Phys.Rev.D60, 111101 (1999) 6. Milton, K.A.: J. Phys. A 37, R209 (2004) 7. Kardar, M., Golestanian, R.: Rev. Mod. Phys. 71, 1233 (1999) 8. Fisher, M., de Gennes, C.R.: C. R. Acad. Sci. Ser. B 287, 207 (1978) 9. Stanley, H.G.: Introduction to Phase Transitions and Critical Phenomena. Oxford University Press, Oxford (1971) 10. Krech, M.: The Casimir Effect in Critical Systems. World Scientific, Singapore (1994) 11. Brankov, I., Danchev, D.M., Tonchev, N.S., Brankov, J.G.: Theory of Critical Phenomena in Finite-Size Systems: Scaling and Quantum Effects (Series in Modern Condensed Matter Physics, vol 9. World Scientific, Singapore (2000)) 12. Forster, D.: Hydrodynamic Fluctuations, Broken Symmetry, and Correlation Functions. HarperCollins Canada, (1994) 13. deGennes, P.G., Prost, J.: The Physics of Liquid Crystals. Oxford University Press, Oxford (1993) 14. Ajdari, A., Peliti, L., Prost, J.: Phys. Rev. Lett. 66, 1481 (1991) 15. Ueno, T. et al.: Phys. Rev. Lett. 90, 116102 (2003) 16. Martín, A. et al.: Phys. Rev. E 58, 2151 (1998) 17. Cardy, J.L.: Conformal invariance. In: Domb, C., Lebowitz, J.L. (eds.) Phase Transitions and Critical Phenomena, vol 11. Academic, New York (1987) 18. Gambassi, A., Dietrich, S.: J. Stat. Phys. 123, 929 (2006) 19. Dnatchev, D., Krech, M.: Phys. Rev. E 69, 046119 (2004) 20. Dorfman, J.R., Kirkpatrick, T.R., Sengers, J.V.: Ann. Rev. Phys. Chem. 45, 213 (1994) 21. Machta, J., Oppenheim, I., Procaccia, I.: Phys. Rev. Lett. 42, 1368 (1979) 22. Lutsko, J.F., Dufty, J.W.: Phys. Rev. E 66, 041206 (2002) 23. Procaccia, I., Ronis, D., Oppenheim, I.: Phys. Rev. Lett. 42, 287 (1979) 24. Li, W.B. et al.: Phys. Rev. Lett. 81, 5580 (1998) 25. Ortiz de Zárate, J.M., Sengers, J.V.: Hydrodynamic Fluctuations in Fluids and Fluid Mixtures. Elsevier, Amsterdam (2006) 26. Spohn, H.: J. Phys. A 16, 4275 (1983) 27. Garrido, P.L. et al.: Phys. Rev. A 42, 1954 (1990) 28. Grinstein, G., Lee, D.H., Sachdev, S.: Phys. Rev. Lett. 64, 1927 (1990) 29. Pagonabarraga, I., Rubí, M.: Phys. Rev. E 49, 267 (1994) 30. Gardiner, C.W.: Handbook of Stochastic Methods. Springer, Heidelberg (2004) 31. van Noije, T.P.C. et al.: Phys. Rev. Lett 79, 411 (1997) 32. van Noije, T.P.C. et al.: Phys. Rev. E 59, 4326 (1999) 33. Family, F., Vicsek, T. (eds.): Dynamics of Fractal Surfaces. World Scientific, Singapore (1991) 34. Kardar,M., Parisi,G., Zhang,Y.C.: Phys. Rev. Lett. 56, 889 (1986) 35. Roters, L., Lübeck, S., Usadel, K.D.: Phys. Rev. E 59, 2672 (1999) 36. Martínez, F.C. et al.: Phys. Rev. E 51, 835 (1995) 37. Beijeren, H. van : J. Stat. Phys. 60, 845 (1990) 38. Ernst, M.H., Bussemaker, H.J.: J. Stat. Phys. 81, 515 (1995) 39. Suárez, A., Boon, J.P., Grosfils, P.: Phys. Rev. E 54, 1208 (1996) 40. Baldassarri,A., Marini Bettolo Marconi,U., Puglisi, A.: Europhys. Lett. 58, 14 (2002) 41. Ernst, M.H., Brito, R.: Phys. Rev. E 65, 040301 (2002) 42. van Wijland, F., Oerding, K., Hilhorst, H.J.: Physica A 251, 179 (1998) 43. García-Ojalvo, J., Sancho, J.M.: Noise in Spatially Extended Systems. Springer, New York (1999) 44. Ajdari, A. et al.: J. Phys. II France 2, 487 (1992) 45. Gradshteyn, I.S., Ryzhik, I.M.: Table of Integrals, Series, and Products, 5th edn. Academic, New York (1994) 46. Bordag, M., Mohideen, U., Mostepanenko, V.M.: Phys. Reports 353, 1 (2001) 47. Reis, P., Mullin, T.: Phys. Rev. Lett. 89, 244301 (2002) 48. Aumaitre, S., Kruelle, C.A., Rehberg, I.: Phys. Rev. E 64, 041305 (2001) 49. Schnautz, T. et al.: Phys. Rev. Lett. 95, 028001 (2005) 50. Zuriguel, I. et al.: Phys. Rev. Lett. 95, 258002 (2005) 51. Cattuto, C., Marini Bettolo Marconi, U.: Phys. Rev. Lett. 92, 174502 (2004) 52. Kudrolli, A.: Rep. Prog. Phys. 67, 209 (2004) 53. Peng, G., Ohta, T.: Phys. Rev. E 58, 4737 (1998) 54. Verlet, L., Levesque, D.: Mol. Phys. 46, 969 (1982) 55. van Noije, T.P.C., Ernst, M.H., Brito, R.: Phys. Rev. E 57, 4891 (1998) 56. Cattuto, C. et al.: Phys. Rev. Lett. 96, 178001 (2006) 57. Gotzelmann, B., Evans, R., Dietrich, S.: Phys. Rev. E 57, 6785 (1998) 58. Crocker, J.C. et al.: Phys. Rev. Lett. 82, 4352 (1999) 59. Sanders, D.A. et al.: Phys. Rev. Lett. 93, 208002 (2004) 60. Bose, M. et al.: Phys. Rev. E 72, 021305 (2005)
dc.identifier.doi10.1007/s10035-007-0056-0
dc.identifier.issn1434-7636
dc.identifier.officialurlhttp://link.springer.com/content/pdf/10.1007%2Fs10035-007-0056-0
dc.identifier.relatedurlhttp://link.springer.com/
dc.identifier.relatedurlhttp://tnt.phys.uniroma1.it/~bettolo/PublishedGranMatterCasimir.pdf
dc.identifier.urihttps://hdl.handle.net/20.500.14352/50635
dc.issue.number1
dc.journal.titleGranular Matter
dc.language.isoeng
dc.page.final36
dc.page.initial29
dc.relation.projectIDFIS2004-271
dc.relation.projectIDUCM PR27/05-13923-BSCH
dc.relation.projectIDCOFIN-MIUR 2005
dc.relation.projectID2005027808
dc.relation.projectID1030993
dc.relation.projectID1061112
dc.rights.accessRightsrestricted access
dc.subject.cdu536
dc.subject.keywordNon-Equilibrium Systems
dc.subject.keywordLong Range Correlations
dc.subject.keywordCasimir forces
dc.subject.keywordGranular Matter
dc.subject.keywordSpatial Correlations
dc.subject.keywordLight-Scattering
dc.subject.keywordLiquid-Crystals
dc.subject.keywordSteady-State
dc.subject.keywordMu-M
dc.subject.keywordFluids
dc.subject.keywordDynamics
dc.subject.keywordGases
dc.subject.ucmTermodinámica
dc.subject.unesco2213 Termodinámica
dc.titleCasimir forces in granular and other non equilibrium systems
dc.typejournal article
dc.volume.number10
dspace.entity.typePublication
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