1932

Abstract

The overall effect of temperature gradients is stressed for the Earth's core and surface, but also for the Sun's surface. Using Rayleigh–Bénard convection in helium and mercury, we measured all of the scaling properties of the period-doubling cascade and quasiperiodicity. Hard turbulence scaling properties are presented in an experiment using helium gas at low temperature. A scaling law is measured and also an exponential distribution for temperature fluctuations is observed. We present a study of a Rayleigh–Bénard convection cell with an open top and a floater. One of the simplest limit cycles is observed for the floater position. It follows a model proposed by Wilson for continent motion. Using the Soret effect, we study how temperature differences lead to strong accumulation of DNA suspensions. Also using polyethylene glycol concentration gradients, we measured local DNA and RNA accumulation. Finally, using thermal convection, we build one of the smallest PCR machines.

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2023-03-10
2024-04-16
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Literature Cited

  1. 1.
    Libchaber A. 2019. Annu. Rev. Condens. Matter Phys. 10:275–93
  2. 2.
    Strahler AN. 1998. Plate Tectonics Cambridge, MA: Geo Books Pub.
  3. 3.
    Wegener A. 1912. Geol. Rundsch. 3:276–92
  4. 4.
    Wilson JT. 1966. Nature 211:5050676–81
  5. 5.
    Fortey RA. 2004. Am. Sci. 92:5446–53
  6. 6.
    Burgess SD, Bowring SA. 2015. Sci. Adv. 1:7e1500470
  7. 7.
    Carnot S. 1824. Reflections on the Motive Power of Fire and on Machines Fitted to Develop that Power, Vol. 108 Paris: Bachelier
  8. 8.
    Barry RG, Chorley RJ 1971. Atmospheric Weather and Climate London: Methuen
  9. 9.
    Hansen CJ, Kawaler SD, Trimble V. 2004. Stellar Energy Sources New York: Springer
  10. 10.
    Alberts B, Alexander J, Julian L, Martin R, Keith R, Pete W 2008. Molecular Biology of the Cell New York: Garland Sci.
  11. 11.
    Poincaré H. 1892. Les Méthodes Nouvelles de la Mécanique Céleste, Vol. 3 Invariants Integraux, Solutions Periodiques du Deuxieme Genre, Solutions Doublement Asymptotiques Paris: Gauthier-Villars et fils
  12. 12.
    Lyapunov A. 1892. The General Problem of the Stability of Motion Kharkov, Ukraine: Kharkov Math. Soc.
  13. 13.
    Landau LD, Lifshitz EM. 1960. Physique Théorique, Vol. I, Mécanique Transl. C Ligny, 1960 Moscou: Editions en Langue étrangères
    [Google Scholar]
  14. 14.
    Arneodo A, Coullet P, Tresser C, Libchaber A, Maurer J, D'Humières D. 1983. Phys. D: Nonlinear Phenom. 6:3385–92
  15. 15.
    Turing AM. 1952. Philos. Trans. R. Soc. Lond. 237:37B23737–72
  16. 16.
    Lorenz EN. 1963. J. Atmos. Sci. 20:2130–41
  17. 17.
    Gollub JP, Swinney HL. 1975. Phys. Rev. Lett. 35:14927–30
  18. 18.
    Ahlers G. 1974. Phys. Rev. Lett. 33:201185
  19. 19.
    Bergé P, Pomeau Y, Vidal C. 1987. Order Within Chaos New York: Wiley-VCH
  20. 20.
    Feigenbaum MJ. 1978. J. Stat. Phys. 19:125–52
  21. 21.
    D'Humieres D, Beasley MR, Huberman BA, Libchaber A. 1982. Phys. Rev. A 26:63483–96
  22. 22.
    Collet P, Eckmann J-P. 1980. Iterated Maps on the Interval as Dynamical Systems. Modern Birkhäuser Classics Boston, MA: Birkhäuser
  23. 23.
    Josephson BD. 1974. Rev. Mod. Phys. 46:2251–54
  24. 24.
    Maurer J, Libchaber A. 1980. J. Phys. Lett. 41:21515–18
  25. 25.
    Busse FH, Clever RM. 1979. J. Fluid Mech. 91:2319–35
  26. 26.
    Le Gal P, Pocheau A, Croquette V 1985. Phys. Rev. Lett. 54:232501
  27. 27.
    Libchaber A, Maurer J. 1980. J. Phys. Colloques 41:C3–51C3-56
  28. 28.
    Feigenbaum MJ. 1979. Phys. Lett. A 74:6375–78
  29. 29.
    Libchaber A, Laroche C, Fauve S. 1982. J. Phys. Lett. 43:7211–16
  30. 30.
    Libchaber A, Fauve S, Laroche C. 1983. Phys. D: Nonlinear Phenom. 7:73–84
  31. 31.
    Gleick J. 1988. Chaos: Making a New Science New York: Penguin Books
  32. 32.
    Glazier JA, Libchaber A. 1988. IEEE Trans. Circ. Syst. 35:7790–809
  33. 33.
    Jensen MH, Kadanoff LP, Libchaber A, Procaccia I, Stavans J. 1985. Phys. Rev. Lett. 55:252798–801
  34. 34.
    Glazier JA, Jensen MH, Libchaber A, Stavans J. 1986. Phys. Rev. A 34:21621–24
  35. 35.
    Stavans J. 1987. Phys. Rev. A 35:104314–28
  36. 36.
    Stavans J, Heslot F, Libchaber A. 1985. Phys. Rev. Lett. 55:6596–99 Erratum 1985. Phys. Rev. Lett. 55:111239
  37. 37.
    Halsey TC, Jensen MH, Kadanoff LP, Procaccia I, Shraiman BI. 1986. Phys. Rev. A 33:21141–51
  38. 38.
    Threlfall DC. 1975. J. Fluid Mech. 67:117–28
  39. 39.
    Heslot F, Castaing B, Libchaber A. 1987. Phys. Rev. A 36:125870–73
  40. 40.
    Sano M, Wu XZ, Libchaber A. 1989. Phys. Rev. A 40:116421–30
  41. 41.
    Castaing B, Gunaratne G, Heslot F, Kadanoff L, Libchaber A et al. 1989. J. Fluid Mech. 204:1–30
  42. 42.
    Malkus WVR, Chandrasekhar S. 1954. Proc. R. Soc. A. 225:1161196–212
  43. 43.
    Zhang J, Childress S, Libchaber A. 1997. Phys. Fluids 9:41034–42
  44. 44.
    Zocchi G, Moses E, Libchaber A 1990. Phys. A Stat. Mech. Appl. 166:3387–407
  45. 45.
    Belmonte A, Tilgner A, Libchaber A. 1994. Phys. Rev. E 50:1269–79
  46. 46.
    Tilgner A, Belmonte A, Libchaber A. 1993. Phys. Rev. E 47:4R2253–56
  47. 47.
    Zhang J, Libchaber A. 2000. Phys. Rev. Lett. 84:194361–64
  48. 48.
    Oxburgh E, Turcotte D. 1978. Rep. Prog. Phys. 41:81249–312
  49. 49.
    McKenzie D, Roberts J, Weiss N. 1974. J. Fluid Mech. 62:465–538
  50. 50.
    Lowman JP, Jarvis GT. 1993. Geophys. Res. Lett. 20:192087–90
  51. 51.
    Soret C. 1879. Arch. Sci. Phys. Nat. Geneve 2:48–64
  52. 52.
    Jülicher F, Prost J. 2009. Eur. Phys. J. E 29:127–36
  53. 53.
    Piazza R, Parola A. 2008. J. Phys. Condens. Matter 20:15153102
  54. 54.
    Braun D, Libchaber A. 2004. Phys. Biol. 1:1–2P1–8
  55. 55.
    Maeda YT, Buguin A, Libchaber A. 2011. Phys. Rev. Lett. 107:3038301
  56. 56.
    Braun D, Goddard NL, Libchaber A. 2003. Phys. Rev. Lett. 91:15158103
  57. 57.
    Kolmogorov AN. 1941. C. R. Acad. Sci. 30:301–5
  58. 58.
    Clarke S. 1717. A Collection of Papers, Which Passed Between the Late Learned Mr. Leibnitz, and Dr. Clarke, in the Years 1715 and 1716 London: Printed for James Knapton
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