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Volumn 61, Issue 2, 2000, Pages 1423-1431

Spinodal decomposition of two-dimensional fluid mixtures: A spectral analysis of droplet growth

Author keywords

[No Author keywords available]

Indexed keywords

DROPS; MIXTURES; REYNOLDS NUMBER; SPECTRUM ANALYSIS; VISCOSITY; VISCOUS FLOW;

EID: 0001301298     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.1423     Document Type: Article
Times cited : (43)

References (38)
  • 1
    • 85036262662 scopus 로고    scopus 로고
    • 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
    • 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
  • 2
    • 33749501072 scopus 로고
    • K. Binder, Material Sciences and Technology, edited by R. W. Cohen, P. Haasen, and E.J. Kramer (VCH, Weinheim, 1991), Vol. 5, p. 405
    • 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
    • (1984) Adv. Phys. , vol.34 , pp. 703
    • Furukawa, H.1
  • 7
    • 85036184296 scopus 로고    scopus 로고
    • 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
    • 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.
  • 8
    • 85036182241 scopus 로고    scopus 로고
    • 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
    • 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.
  • 14
    • 85036171172 scopus 로고    scopus 로고
    • See the second reference of Ref. 3, and references cited therein
    • See the second reference of Ref. 3, and references cited therein.
  • 16
    • 0001021792 scopus 로고
    • 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).
    • (1991) Phys. Rev. B , vol.43 , Issue.13 , pp. 649
    • Onuki, A.1    Nishimori, H.2
  • 18
    • 0000619098 scopus 로고    scopus 로고
    • an early stage of the phase separation of fluid mixture
    • 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.
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 389
    • Tanaka, H.1    Araki, T.2
  • 23
    • 5244359323 scopus 로고
    • The asymptotic form at large k is known as the Pord tail. G. Pord, Kolloid-Z. 123, 83 (1951)
    • (1951) Kolloid-Z. , vol.123 , pp. 83
    • Pord, G.1
  • 27
    • 25444512481 scopus 로고
    • for the asymptotic form at small k, see C. Yeung, Phys. Rev. Lett. 61, 1135 (1988)
    • (1988) Phys. Rev. Lett. , vol.61 , pp. 1135
    • Yeung, C.1
  • 32
    • 0000108448 scopus 로고    scopus 로고
    • and reference cited therein
    • 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.
    • (1999) Phys. Rev. E , vol.59
    • Jury, S.I.1    Bladon, P.2    Krishna, S.3    Cates, M.E.4
  • 33
    • 85036189820 scopus 로고    scopus 로고
    • This is already given by Eq. (A10) of the second citation of Ref. 3
    • This is already given by Eq. (A10) of the second citation of Ref. 3.
  • 35
    • 85036227804 scopus 로고    scopus 로고
    • 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
    • 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.
  • 36
    • 85036306376 scopus 로고    scopus 로고
    • See the second citation of Ref. 3
    • See the second citation of Ref. 3.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.