Skip to main content
SpringerLink
Log in

Direct imaging of long-range concentration fluctuations in a ternary mixture

Direct imaging of ternary mixtures

  • Regular Article
  • Published:
The European Physical Journal E Aims and scope Submit manuscript

Abstract

We used a direct imaging technique to investigate concentration fluctuations enhanced by thermal fluctuations in a ternary mixture of methanol (Me), cyclohexane (C), and partially deuterated cyclohexane (C*) within 1mK above its consolute critical point. The experimental setup used a low-coherence white-light source and a red filter to visualize fluctuation images. The red-filtered images were analyzed off-line using a differential dynamic microscopy algorithm that allowed us to determine the correlation time, τ, of concentration fluctuations. From τ, we determined the mutual mass diffusion coefficient, D, very near and above the critical point of Me-CC* mixtures. We also numerically estimated both the background and critical contributions to D and compared the results against our experimental values determined from τ. We found that the experimental value of D is close to the prediction based on Stokes-Einstein diffusion law with Kawasaki’s correction.

Graphical abstract

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. C. Houessou, P. Guenoun, R. Gastaud, F. Perrot, D. Beysens, Phys. Rev. A 32, 1818 (1985).

    Article  ADS  Google Scholar 

  2. D. Beysens, P. Guenoun, F. Perrot, Phys. Rev. A 38, 4173 (1988).

    Article  ADS  Google Scholar 

  3. C. Knobler, N.-C. Wong, J. Phys. Chem. 85, 1972 (1981).

    Article  Google Scholar 

  4. C. Domb, The Critical Point: A Historical Introduction To The Modern Theory Of Critical Phenomena (Taylor and Francis Ltd, 1996).

  5. H. Stanley, Introduction to Phase Transitions and Critical Phenomena (Oxford University Press, 1987).

  6. R. Griffiths, J. Wheeler, Phys. Rev. A 2, 1047 (1970).

    Article  ADS  Google Scholar 

  7. J. Sengers, J. Shanks, J. Stat. Phys. 137, 857 (2009).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  8. D. Cannell, Phys. Rev. A 12, 225 (1975).

    Article  ADS  Google Scholar 

  9. J. Le Guillou, J. Zinn-Justin, Phys. Rev. Lett. 39, 95 (1977).

    Article  ADS  Google Scholar 

  10. R. Cerbino, V. Trappe, Phys. Rev. Lett. 100, 188102 (2008).

    Article  ADS  Google Scholar 

  11. F. Giavazzi, B. Brogioli, V. Trappe, T. Bellini, R. Cerbino, Phys. Rev. E 80, 031403 (2009).

    Article  ADS  Google Scholar 

  12. P. Kaplan, V. Trappe, D. Weitz, Appl. Opt. 38, 4151 (1999).

    Article  ADS  Google Scholar 

  13. M. Valentine, A. Popp, P. Kaplan, D. Weitz, Opt. Lett. 26, 890 (2001).

    Article  ADS  Google Scholar 

  14. L.G. Wilson, V.A. Martinez, J. Schwarz-Linek, J. Tailleur, G. Bryant, P.N. Pusey, W.C.K. Poon, Phys. Rev. Lett. 106, 018101 (2011).

    Article  ADS  Google Scholar 

  15. V. Martinez, R. Besseling, O. Croze, J. Tailleur, M. Reufer, J. Schwarz-Linek, L. Wilson, M. Bees, W. Poon, Biophys. J. 103, 1637 (2012).

    Article  ADS  Google Scholar 

  16. P.J. Lu, F. Giavazzi, T.E. Angelini, E. Zaccarelli, F. Jargstorff, A.B. Schofield, J.N. Wilking, M.B. Romanowsky, D.A. Weitz, R. Cerbino, Phys. Rev. Lett. 108, 218103 (2012).

    Article  ADS  Google Scholar 

  17. M. Reufer, V.A. Martinez, P. Schurtenberger, W.C.K. Poon, Langmuir 28, 4618 (2012).

    Article  Google Scholar 

  18. A. Oprisan, Fluctuations, Phase Separation and Wetting Films near Liquid-Gas Critical Point, PhD thesis (University of New Orleans, 2006).

  19. J.J. Hegseth, A. Oprisan, Y. Garrabos, D. Beysens, Phys. Rev. E 90, 022127 (2014).

    Article  ADS  Google Scholar 

  20. R. Kopelman, R. Gammon, M. Moldover, Phys. Rev. A 29, 2048 (1984).

    Article  ADS  Google Scholar 

  21. P. Guenoun, F. Perrot, D. Beysens, Phys. Rev. Lett. 63, 1152 (1989).

    Article  ADS  Google Scholar 

  22. P. Guenoun, R. Gastaud, F. Perrot, D. Beysens, Phys. Rev. A 36, 4876 (1987).

    Article  ADS  Google Scholar 

  23. J. Dainty, Laser speckle and related phenomena, Topics in Applied Physics (Springer-Verlag, 1984).

  24. F. Croccolo, D. Brogioli, A. Vailati, M. Giglio, D. Cannell, Ann. N.Y. Acad. Sci. 1077, 365 (2006).

    Article  ADS  Google Scholar 

  25. S. Trainoff, D. Cannell, Phys. Fluids 14, 1340 (2002).

    Article  ADS  Google Scholar 

  26. F. Croccolo, D. Brogioli, A. Vailati, M. Giglio, D. Cannell, Appl. Opt. 45, 2166 (2006).

    Article  ADS  Google Scholar 

  27. F. Croccolo, D. Brogioli, A. Vailati, M. Giglio, D. Cannell, Phys. Rev. E 76, 041112 (2007).

    Article  ADS  Google Scholar 

  28. F. Croccolo, H. Bataller, F. Scheffold, J. Chem. Phys. 137, 234202 (2012).

    Article  ADS  Google Scholar 

  29. K. Kawasaki, Ann. Phys. (N.Y.) 61, 1 (1970).

    Article  ADS  Google Scholar 

  30. C. Sorensen, R. Mockler, W. O’Sullivan, Phys. Rev. A 16, 365 (1977).

    Article  ADS  Google Scholar 

  31. C. Hartley, D. Jacobs, R. Mockler, W. O’Sullivan, Phys. Rev. Lett. 33, 1129 (1974).

    Article  ADS  Google Scholar 

  32. Y. Yosida, Phys. Lett. A 65, 161 (1978).

    Article  ADS  Google Scholar 

  33. A. Oprisan, B. Bayley, S. Oprisan, J. Hegseth, Y. Garrabos, C. Lecoutre, D. Beysens, Thermal fluctuation exponents for two near-critical point systems, in SPIE, Visual Information Processing XIX, Vol. 7701, edited by Z.-u. Rahman, S.E. Reichenbach, M.A. Neifeld (SPIE, 2010).

  34. D. Jacobs, Phys. Rev. A 33, 2605 (1986).

    Article  ADS  Google Scholar 

  35. R. Behrends, U. Kaatze, M. Schach, J. Chem. Phys. 119, 7957 (2003).

    Article  ADS  Google Scholar 

  36. A. Kostko, M. Anisimov, J. Sengers, Phys. Rev. E 76, 021804 (2007).

    Article  ADS  Google Scholar 

  37. H. Swinney, D. Henry, Phys. Rev. A 8, 2586 (1973).

    Article  ADS  Google Scholar 

  38. H. Burstyn, J. Sengers, J. Bhattacharjee, R. Ferrell, Phys. Rev. A 28, 1567 (1983).

    Article  ADS  Google Scholar 

  39. J. Sengers, Int. J. Thermophys. 6, 203 (1985).

    Article  ADS  Google Scholar 

  40. J. Sengers, Effects of critical fluctuations on the thermodynamic and transport properties of supercritical fluids, in Supercritical Fluids: Fundamentals for Application, edited by E. Kiran, J.M.H. Levelt Sengers (Kluwer Academic, Dordrecht, 1994) pp. 231--271.

  41. J. Sengers, J. Luettmer-Strathmann, The critical enhancements, in Properties of Fluids, edited by J.H. Dymond, J. Millat, C.A. Nieto de Castro (Cambridge University Press, Cambridge, UK, 1995) pp. 131--159.

  42. L. Mistura, Nuovo Cimento B 12, 35 (1972).

    Google Scholar 

  43. A. Onuki, Phys. Rev. E 55, 403 (1997).

    Article  ADS  Google Scholar 

  44. P. Hohenberg, B. Halperin, Rev. Mod. Phys. 49, 435 (1977).

    Article  ADS  Google Scholar 

  45. R. Folk, G. Moser, Phys. Rev. Lett. 75, 2706 (1995).

    Article  ADS  Google Scholar 

  46. J. Luettmer-Strathmann, Thermodiffusion in the critical region, in Thermal Nonequilibrium Phenomena in Fluid Mixtures, edited by K. Werner, S. Wiegand, Vol. 584 of Springer Lecture Notes in Physics (Springer, Berlin, Heidelberg, 2002) pp. 24--37.

  47. H. Burstyn, J. Sengers, Phys. Rev. A 25, 448 (1982).

    Article  ADS  Google Scholar 

  48. H. Leister, J. Allegra, G. Allen, J. Chem. Phys. 51, 3701 (1969).

    Article  ADS  Google Scholar 

  49. A. Alekhin, O. Bilous, Ukr. J. Phys. 52, 793 (2007).

    Google Scholar 

  50. H. Hao, Aspects of Dynamic Critical Phenomena in a Single Component Fluid, PhD thesis (University of Maryland, College Park, Maryland, 1991).

  51. H. Hao, R. Ferrell, J. Bhattacharjee, Phys. Rev. E 71, 021201 (2005).

    Article  ADS  Google Scholar 

  52. R. Berg, M. Moldover, G. Zimmerli, Phys. Rev. E 60, 4079 (1999).

    Article  ADS  Google Scholar 

  53. A. Stein, J. Allegra, G. Allen, J. Chem. Phys. 55, 4265 (1971).

    Article  ADS  Google Scholar 

  54. C. Sorensen, Int. J. Thermophys. 3, 365 (1982).

    Article  ADS  Google Scholar 

  55. D. Oxtoby, W. Gelbart, J. Chem. Phys. 61, 2957 (1974).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics and Astronomy, College of Charleston, 29424, Charleston, SC, USA

    Ana Oprisan & Sorinel A. Oprisan

  2. Department of Physics, University of New Orleans, 70148, New Orleans, LA, USA

    John J. Hegseth

  3. CNRS, ICMCB, ESEME, UPR 9048, F-33600, Pessac, France

    Yves Garrabos & Carole Lecoutre

  4. Univ. Bordeaux, ICMCB, UPR 9048, F-33600, Pessac, France

    Yves Garrabos & Carole Lecoutre

  5. Service des Basses Températures, UMR-E CEA/UJF-Grenoble 1, INAC, Grenoble, France

    Daniel Beysens

  6. Physique et Mécanique des Milieux Hétérogènes, UMR 7636 CNRS - ESPCI - Université Pierre et Marie Curie - Université Paris Diderot, 10 rue Vauquelin, 75005, Paris, France

    Daniel Beysens

Authors
  1. Ana Oprisan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Sorinel A. Oprisan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. John J. Hegseth
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Yves Garrabos
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Carole Lecoutre
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Daniel Beysens
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ana Oprisan.

Additional information

Contribution to the Topical Issue “Thermal nonequilibrium phenomena in multi-component fluids” edited by Fabrizio Croccolo and Henri Bataller.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Oprisan, A., Oprisan, S.A., Hegseth, J.J. et al. Direct imaging of long-range concentration fluctuations in a ternary mixture. Eur. Phys. J. E 38, 17 (2015). https://doi.org/10.1140/epje/i2015-15017-4

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epje/i2015-15017-4

Keywords

Search

Navigation