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1
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85036262662
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J.D. Gunton, M. San Miguel, and P.S. Sani, Phase Transition and Critical Phenomena, edited by C. Domb and J.L. Lebowitz (Academic, London, 1983), Vol. 8
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J.D. Gunton, M. San Miguel, and P.S. Sani, Phase Transition and Critical Phenomena, edited by C. Domb and J.L. Lebowitz (Academic, London, 1983), Vol. 8
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2
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33749501072
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K. Binder, Material Sciences and Technology, edited by R. W. Cohen, P. Haasen, and E.J. Kramer (VCH, Weinheim, 1991), Vol. 5, p. 405
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H. Furukawa, Adv. Phys. 34, 703 (1984);K. Binder, Material Sciences and Technology, edited by R. W. Cohen, P. Haasen, and E.J. Kramer (VCH, Weinheim, 1991), Vol. 5, p. 405
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(1984)
Adv. Phys.
, vol.34
, pp. 703
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Furukawa, H.1
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7
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85036184296
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When the Reynolds number increases indefinitely, it seems that the final state, which may be an equilibrium state, is a peculiar state with an infinite Reynolds number. But this does not happen. If the system is finite, then such a peculiar state does not exist. If the system is infinite, then no equilibrium state is attained and therefore the Reynolds number increased indefinitely, though the characteristic velocity (Formula presented) goes to zero as (Formula presented), and any local part of the system would approach a local equilibrium state. However, no thermal equilibrium state with an infinite Reynolds number exists
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When the Reynolds number increases indefinitely, it seems that the final state, which may be an equilibrium state, is a peculiar state with an infinite Reynolds number. But this does not happen. If the system is finite, then such a peculiar state does not exist. If the system is infinite, then no equilibrium state is attained and therefore the Reynolds number increased indefinitely, though the characteristic velocity (Formula presented) goes to zero as (Formula presented), and any local part of the system would approach a local equilibrium state. However, no thermal equilibrium state with an infinite Reynolds number exists.
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8
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85036182241
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If the friction is simply written in the same way as the inertia, then a difficulty arises. The inertia (Formula presented), is negative in almost all cases, whereas the dissipative term, which is proportional to (Formula presented), is positive. This is because (Formula presented) and (Formula presented) in almost all cases. Therefore, the inertial friction should be proportional to (Formula presented) This form is natural if the dynamical scaling hypothesis is used
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If the friction is simply written in the same way as the inertia, then a difficulty arises. The inertia (Formula presented), is negative in almost all cases, whereas the dissipative term, which is proportional to (Formula presented), is positive. This is because (Formula presented) and (Formula presented) in almost all cases. Therefore, the inertial friction should be proportional to (Formula presented) This form is natural if the dynamical scaling hypothesis is used.
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14
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85036171172
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See the second reference of Ref. 3, and references cited therein
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See the second reference of Ref. 3, and references cited therein.
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16
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0001021792
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However, isolated domains in salad dressing may be rather due to asymmetric properties of two phases. For an example of such an asymmetric quench, see, A. Onuki and H. Nishimori, Phys. Rev. B 43, 13 649 (1991).
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(1991)
Phys. Rev. B
, vol.43
, Issue.13
, pp. 649
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Onuki, A.1
Nishimori, H.2
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18
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0000619098
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an early stage of the phase separation of fluid mixture
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A similar aspect was found by H. Tanaka and T. Araki, Phys. Rev. Lett. 81, 389 (1998) in an early stage of the phase separation of fluid mixture.
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(1998)
Phys. Rev. Lett.
, vol.81
, pp. 389
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Tanaka, H.1
Araki, T.2
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23
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5244359323
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The asymptotic form at large k is known as the Pord tail. G. Pord, Kolloid-Z. 123, 83 (1951)
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(1951)
Kolloid-Z.
, vol.123
, pp. 83
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Pord, G.1
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27
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25444512481
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for the asymptotic form at small k, see C. Yeung, Phys. Rev. Lett. 61, 1135 (1988)
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(1988)
Phys. Rev. Lett.
, vol.61
, pp. 1135
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Yeung, C.1
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32
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0000108448
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and reference cited therein
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The numerical test of the dynamical scaling for three-dimensional viscous fluid mixture seems to be in process. See S.I. Jury, P. Bladon, S. Krishna, and M.E. Cates, Phys. Rev. E 59, R2535 (1999), and reference cited therein.
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(1999)
Phys. Rev. E
, vol.59
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Jury, S.I.1
Bladon, P.2
Krishna, S.3
Cates, M.E.4
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33
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85036189820
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This is already given by Eq. (A10) of the second citation of Ref. 3
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This is already given by Eq. (A10) of the second citation of Ref. 3.
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35
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85036227804
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The creations of an isolated droplet in viscous fluid mixture is due the weak connectivity in two dimensions. Such a creation of an isolated droplet occurs even in low viscous fluid mixture
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The creations of an isolated droplet in viscous fluid mixture is due the weak connectivity in two dimensions. Such a creation of an isolated droplet occurs even in low viscous fluid mixture.
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36
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85036306376
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See the second citation of Ref. 3
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See the second citation of Ref. 3.
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38
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0001211650
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V.M. Kendon, J-C. Desplat, P. Bladon, and M.E. Cates, Phys. Rev. Lett. 83, 576 (1999).
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(1999)
Phys. Rev. Lett.
, vol.83
, pp. 576
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Kendon, V.M.1
Desplat, J.-C.2
Bladon, P.3
Cates, M.E.4
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