Phase separation of binary fluids with dynamic temperature (original) (raw)

2010, Phys. Rev. E 82, 046302 (2010)

Abstract

Phase separation of binary fluids quenched by contact with cold external walls is considered.

Loading...

Loading Preview

Sorry, preview is currently unavailable. You can download the paper by clicking the button above.

References (53)

  1. J.D. Gunton, M. San Miguel, and P. Sahni, in Phase Transition and Critical Phenomena, ed. by C. Domb and J.H. Lebowitz (Academic, London, 1983), Vol. 8.
  2. J. Bray, Adv. Phys. 43, 357 (1994).
  3. W. van Saarloos, Phys. Rep. 386, 29 (2003).
  4. A. Jacot, M. Rappaz, and R.C. Reed, Acta Mater. 46, 3949 (1998).
  5. A. Voit, A. Krekov, W. Enge, L. Kramer, and W. Köhler, Phys. Rev. Lett. 94, 214501 (2005);
  6. A. P. Krekhov and L. Kramer, Phys. Rev. E 70, 061801 (2004).
  7. M. Yamamura, S. Nakamura, T. Kajiwara, H. Kage, and K. Adachi, Polymer 44, 4699 (2003).
  8. A. Onuki, Phys. Rev. Lett. 48, 753 (1982);
  9. H. Tanaka and T. Sigehuzi, Phys. Rev. Lett. 75, 875 (1995).
  10. J.S. Langer, Rev. Mod. Phys. 52, 1 (1980).
  11. L.P. Cheng, D.J. Lin, C.H. Shih, A.H. Dwan, and C.C. Gryte, J. Polym. Sci. 37, 2079 (1999);
  12. A. Akthakul, C.E. Scott, A.M. Mayes, and A. J. Wagner, J. Memb. Sci. 249, 213 (2005).
  13. R.E. Liesegang, Naturwiss. Wochenschr. 11, 353 (1896).
  14. T. Antal, M. Droz, J. Magnin, and Z. Racz, Phys. Rev. Lett. 83, 2880 (1999).
  15. J.M. Yeomans, Annu. Rev. Comput. Phys. 7, 61 (1999).
  16. H. Furukawa, Physica A 180, 128 (1992).
  17. P. Hantz and I. Biro, Phys. Rev. Lett. 96, 088305 (2006).
  18. E.M. Foard and A.J. Wagner, Phys. Rev. E 79, 056710 (2009).
  19. A. Krekov, Phys. Rev. E 79, 035302 (2009).
  20. R. C. Ball and R. L. H. Essery, J. Phys.: Condens. Matter 2, 10303 (1990).
  21. C. Thieulot, L.P.B.M. Janssen, and P. Español, Phys. Rev. E 72, 016714 (2005).
  22. D. Jasnow and J. Viñals, Phys. Fluids 8, 3 (1996).
  23. J. Vollmer, G.K. Auernhammer, and D. Vollmer, Phys. Rev. Lett. 98, 115701 (2007).
  24. A. Onuki, Phys. Rev. Lett. 94, 054501 (2005).
  25. S. R. De Groot and P. Mazur, Non-equilibrium Thermodynamics (Dover Publications, New York, 1984).
  26. G. Gonnella, A. Lamura, and A. Piscitelli, J. Phys. A 41, 105001 (2008).
  27. P. Lallemand and L. S. Luo, Int. J. Mod. Phys. B 17, 41 (2003);
  28. F. Dubois and P. Lallemand, J. Stat. Mech. P06006 (2009).
  29. A. G. Xu, G. Gonnella, and A. Lamura, Physica A 362, 42 (2006).
  30. D. Marenduzzo, E. Orlandini, M. E. Cates, and J. M. Yeomans, Phys. Rev. E 76, 031921 (2007).
  31. A. Tiribocchi, N. Stella, G. Gonnella, and A. Lamura, Phys. Rev. E 80, 026701 (2009).
  32. R. Benzi, S. Succi, and M. Vergassola, Phys. Rep. 222, 145 (1992);
  33. S. Chen and G. D. Doolen, Annu. Rev. Fluid Mech. 30, 329 (1998);
  34. S. Succi, The Lattice Boltzmann Equation for Fluid Dynamics and Beyond (Clarendon Press, Oxford, 2001).
  35. J. M. Yeomans, Physica A 369, 159 (2006);
  36. B. Dünweg and A. J. C. Ladd, Adv. Polym. Sci. 221, 89 (2009).
  37. M.R. Swift, W.R. Osborn, and J.M. Yeomans, Phys. Rev. Lett. 75, 830 (1995);
  38. G. Gonnella, E. Orlandini, and J. M. Yeomans, Phys. Rev. Lett. 78, 1695 (1997);
  39. V. M. Kendon, J.- C. Desplat, P. Bladon, and M. E. Cates, Phys. Rev. Lett. 83, 576 (1999);
  40. A. Lamura, G. Gonnella, and J. M. Yeomans, Europhys. Lett. 45, 314 (1999).
  41. P. Bathnagar, E. P. Gross, and M. K. Krook, Phys. Rev. 94, 511 (1954).
  42. Z. Guo, C. Zheng, and B. Shi, Phys. Rev. E 65, 046308 (2002).
  43. Y. Qian, D. d'Humieres, and P. Lallemand, Europhys. Lett. 17, 479 (1992).
  44. A. J. C. Ladd and R. Verberg, J. Stat. Phys. 104, 1191 (2001).
  45. A. Lamura and G. Gonnella, Physica A 294, 295 (2001).
  46. R. Zhang and H. Chen, Phys. Rev. E 67, 066711 (2003);
  47. T. Seta, K. Kono, and S. Chen, Int. J. Mod. Phys. B 17, 169 (2003);
  48. G. Gonnella, A. Lamura, and V. Sofonea, Phys. Rev. E 76, 036703 (2007);
  49. M. Sbragaglia, R. Benzi, L. Biferale, H. Chen, X. Shan, and S. Succi, J. Fluid Mech. 628, 299 (2009).
  50. V. M. Kendon, M. E. Cates, I. Pagonabarraga, J. C. Desplat, and P. Bladon, J. Fluid Mech. 440, 147 (2001).
  51. F. Corberi, G. Gonnella, and A. Lamura, Phys. Rev. Lett. 81, 3852 (1998);
  52. F. Corberi, G. Gonnella, and A. Lamura, Phys. Rev. Lett. 83, 4057 (1999).
  53. FIG. 9: Configuration of concentration ϕ at time t = 21 × 10 5 , intermediate viscosity (η = 2.167), lattice size 512 × 512, T b /T c = T u /T c = 0.8, and k = 10 -2 .