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Late stage spinodal decomposition in binary critical fluids: scaling function obtained over a wide q-space of 4 orders of magnitude

Takeji Hashimoto, Hiroshi Jinnai, Hirokazu Hasegawa and Charles C. Han

Physica A: Statistical Mechanics and its Applications, 1994, vol. 204, issue 1, 261-276

Abstract: Space-time organization of the pattern in late stage spinodal decomposition was explored over an extremely wide q-space amounting to 4 orders of magnitude by a combined use of the time-resolved small-angle neutron and light scattering methods for a binary fluid mixture of perdeuterated polybutadiene and polyisoprene near the critical point. The scaled structure factor F(x) = S(q, t) qm(t)3 with x = qqm(t) was explored in detail where S(q, t) is the scattering structure factor at time t as a function of magnitude of scattering vector q and qm(t) is the q value at the maximum of the structure factor at t. A dynamical evolution of the mean value of the absolute interface curvature H(t) was estimated evolution of the mean have a particular relationship with that of qm(t), i.e., H(t)qm(t) ≅ 2, both being controlled by the hydrodynamic interaction effect. The dynamical scaling law was found to be valid for the global feature of the pattern growth, i.e., F(x,t) at x < 2. However, this is not the case for the local feature, giving rise to “extrinsic” and “intrinsic” nonuniversalities in F(x,t) at x > 2.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:204:y:1994:i:1:p:261-276

DOI: 10.1016/0378-4371(94)90430-8

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