Kinetics of spinodal decomposition in a polymer mixture

Phase separation dynamics of gluten protein mixtures

We investigate by time-resolved synchrotron ultra-small X-ray scattering the dynamics of liquid-liquid phase-separation (LLPS) of gluten protein suspensions following a temperature quench. Samples at a fixed concentration (237 mg ml^-1) but with different protein compositions are investigated. In our experimental conditions, we show that fluid viscoelastic samples depleted in polymeric glutenin phase-separate following a spinodal decomposition process. We quantitatively probe the late stage coarsening that results from a competition between thermodynamics that speeds up the coarsening rate as the quench depth increases and transport that slows down the rate. For even deeper quenches, the even higher viscoelasticity of the continuous phase leads to a "quasi" arrested phase separation. Anomalous phase-separation dynamics is by contrast measured for a gel sample rich in glutenin, due to elastic constraints. This work illustrates the role of viscoelasticity in the dynamics of LLPS in protein dispersions.

Coarsening kinetics of a spinodally decomposed vicinal Si(111) surface

The coarsening kinetics of the stepped-and-terrace groove structure formed on a vicinal Si(111) surface was investigated by in-situ synchrotron x-ray scattering. The time evolution of the groove period L at various temperatures below the (1 x 1)-to-(7 x 7) transition falls onto a universal curve when the annealing time is scaled by a scale factor. Distinctive stages of spinodal decomposition, coarsening, and saturation are identified in the evolution of the groove period. L increases following a power law, L approximately t;{n} with n = 1/6 and 0.29 in the initial stage and the late stage of coarsening, respectively. The initial coarsening proceeds via collective motion of step bunches while the late stage is dominated by the diffusion of individual steps.

Dynamics of spinodal decomposition in finite-lifetime systems: Nonlinear statistical theory based on a coarse-grained lattice-gas model

We study theoretically dynamics of the spinodal decomposition in finite-lifetime systems to clarify effects of the interparticle interactions beyond the Ginzburg-Landau-Wilson phenomenology. Our theory is based on the coarse-grained Hamiltonian derived from the interacting lattice-gas model with a finite lifetime. The information of a system is reduced to closed-form coupled integrodifferential equations for the single-point distribution function and the dynamical structure factor. These equations involve explicitly the interparticle interactions. The finite lifetime prevents the phase separation and the order formation in the cw creation case; domains cannot grow to be larger than an asymptotic characteristic size [k(max)(t --> infinity)](-1). Power-law dependence of k(max)(t --> infinity) on the interparticle interaction and the particle lifetime is also found numerically. The finite lifetime prevents the phase separation, i.e., the lower critical wave number k((1))(c) appears and domains of size larger than [k((1))(c)](-1) cannot grow.