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- W2059387832 abstract "The Cahn-Hilliard (CH) model of phase separation for a conserved order parameter is examined in two dimensions through numerical simulation as a function of the average order parameter (${ensuremath{psi}}_{0}$). The initial rapid amplification of large wavelength fluctuations in the order parameter (ensuremath{psi}) is shown to depend on ${ensuremath{psi}}_{0}$ through the scaled wave vector (i.e., k'=k/${q}_{c}$) and time (ensuremath{tau}'=ensuremath{tau}${q}_{c}^{4}$) where ${q}_{c}^{2}$=1--3${ensuremath{psi}}_{0}^{2}$. This early dynamical behavior creates large interconnected ``clusters'' with an average domain size that is proportional to 1/${q}_{c}$. The subsequent nonlinear growth is shown to be qualitatively dependent on ${ensuremath{psi}}_{0}$. A finite ${ensuremath{psi}}_{0}$ breaks the symmetry of the final state by introducing an asymmetric nonlinear term into the CH equation. When ${ensuremath{psi}}_{0}$ is large this term breaks apart the large clusters into small spherical droplets by enhancing growth of the minority phase. In contrast, the symmetric nonlinearities slow the growth of both phases when ${ensuremath{psi}}_{0}$ is small and keep the large interconnected structures intact. Various theoretical models of this process are compared with the numerical results." @default.
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- W2059387832 date "1989-07-01" @default.
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- W2059387832 title "Role of nonlinearities in off-critical quenches as described by the Cahn-Hilliard model of phase separation" @default.
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- W2059387832 doi "https://doi.org/10.1103/physrevb.40.243" @default.
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