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0040884399
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note
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Of course, these two morphologies have different mean density of the Euler invariant, and in that sense, as well as in the sense of percolation, have "infinite range correlations". Unlike correlations of the order parameter φ, however, these can evolve from a white-noise initial state, by a purely local early-time dynamics in finite time.
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10
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0034206380
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The interfacial/inertial balance may be valid only at large length scales; since the interface area and kinetic energy are both decreasing, this cannot be true at all scales. See KENDON V. M., Phys. Rev. E, 61 (2000) R6071.
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Phys. Rev. E
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Kendon, V.M.1
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NICOLAYEV V. S., BEYSENS D. and GUENOUN P., Phys. Rev. Lett., 76 (1996) 3144; NICOLAYEV V. S. and BEYSENS D. A., Phys. Fluids 9 (1997) 3227.
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17
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0000126668
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Dynamic asymmetry can also arise through a φ-dependent viscosity; but this continues to affect the equations of motion themselves for all t. See NOVIK K. E. and COVENEY P. V., Phys. Rev. E, 61 (2000) 435.
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(2000)
Phys. Rev. E
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SWIFT M. R., ORLANDINI E., OSBORN W. R. and YEOMANS J. M., Phys. Rev. E, 54 (1996) 5041.
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21
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0040290088
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For an animation of the phase-ordering please check http : //www.ph.ed.ac.uk/cmatter/links/ awagner-drops. For animations of the symmetric case in three dimension see PAGONABARRAGA I., DESPLAT J.-C., WAGNER A. J. and CATES M. E., New J. Phys., 3 (2001) 9, http://njp.org/.
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22
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0004453558
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For an animation of the phase-ordering please check http : //www.ph.ed.ac.uk/cmatter/links/ awagner-drops. For animations of the symmetric case in three dimension see PAGONABARRAGA I., DESPLAT J.-C., WAGNER A. J. and CATES M. E., New J. Phys., 3 (2001) 9, http://njp.org/.
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FRISCH U., Turbulence (Cambridge University Press) 1995.
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