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Other recent papers where people have studied the pinning of an interface moving through a random potential are: K. Sneppen, Phys. Rev. Lett. 69, 3539 (1992); M. Dong, M.C. Marchetti, A.A. Middleton, and V. Vinokur, ibid. 70, 662 (1993); H. Leschhorn and L.-H. Tang, Phys. Rev. Lett. 70, 3832 (1993); Z. Olami, I. Procaccia, and R. Zeitak, Phys. Rev. E 49, 1232 (1994); H.J. Jensen, J. Phys. A 28, 1861 (1995).
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Other recent papers where people have studied the pinning of an interface moving through a random potential are: K. Sneppen, Phys. Rev. Lett. 69, 3539 (1992); M. Dong, M.C. Marchetti, A.A. Middleton, and V. Vinokur, ibid. 70, 662 (1993); H. Leschhorn and L.-H. Tang, Phys. Rev. Lett. 70, 3832 (1993); Z. Olami, I. Procaccia, and R. Zeitak, Phys. Rev. E 49, 1232 (1994); H.J. Jensen, J. Phys. A 28, 1861 (1995).
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Other recent papers where people have studied the pinning of an interface moving through a random potential are: K. Sneppen, Phys. Rev. Lett. 69, 3539 (1992); M. Dong, M.C. Marchetti, A.A. Middleton, and V. Vinokur, ibid. 70, 662 (1993); H. Leschhorn and L.-H. Tang, Phys. Rev. Lett. 70, 3832 (1993); Z. Olami, I. Procaccia, and R. Zeitak, Phys. Rev. E 49, 1232 (1994); H.J. Jensen, J. Phys. A 28, 1861 (1995).
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Other recent papers where people have studied the pinning of an interface moving through a random potential are: K. Sneppen, Phys. Rev. Lett. 69, 3539 (1992); M. Dong, M.C. Marchetti, A.A. Middleton, and V. Vinokur, ibid. 70, 662 (1993); H. Leschhorn and L.-H. Tang, Phys. Rev. Lett. 70, 3832 (1993); Z. Olami, I. Procaccia, and R. Zeitak, Phys. Rev. E 49, 1232 (1994); H.J. Jensen, J. Phys. A 28, 1861 (1995).
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note
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v, respectively. Despite the similarity of the Hamiltonian Eq. (2), the analysis in Ref. [5] was quite different from Ref. [4] and what follows in this paper.
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31
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0003580854
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Fluid Mechanics
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Pergamon, New York
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See, e.g., L.D. Landau and E.M. Lifshitz, Fluid Mechanics, Course of Theoretical Physics Vol. 6 (Pergamon, New York, 1994), Chap. VII or J.S. Rowlinson and B. Widom, Molecular Theory of Capillarity (Oxford University Press, Oxford, 1982).
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See, e.g., L.D. Landau and E.M. Lifshitz, Fluid Mechanics, Course of Theoretical Physics Vol. 6 (Pergamon, New York, 1994), Chap. VII or J.S. Rowlinson and B. Widom, Molecular Theory of Capillarity (Oxford University Press, Oxford, 1982).
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Rowlinson, J.S.1
Widom, B.2
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33
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85087579993
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note
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0 the initial temperature.
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34
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5644283711
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note
-
The deformation of the contact line is known to be logarithmic without the gravity term in Eq. (2) [3], but since gravity introduces a length scale in the problem (the capillary length) the decay of the contact line becomes exponential [21].
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