TY - JOUR

T1 - Late stage spinodal decomposition in binary critical fluids

T2 - scaling function obtained over a wide q-space of 4 orders of magnitude

AU - Hashimoto, Takeji

AU - Jinnai, Hiroshi

AU - Hasegawa, Hirokazu

AU - Han, Charles C.

N1 - Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.

PY - 1994/3/1

Y1 - 1994/3/1

N2 - 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 = q qm(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.

AB - 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 = q qm(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.

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U2 - 10.1016/0378-4371(94)90430-8

DO - 10.1016/0378-4371(94)90430-8

M3 - Article

AN - SCOPUS:4944263439

VL - 204

SP - 261

EP - 276

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

IS - 1-4

ER -