Abstract
In the domain growth process, small structures gradually vanish, leaving behind larger ones. We investigate spectral energy transfers in two standard models for domain growth: (a) the Cahn-Hilliard (CH) equationwith conserved dynamics and (b) the time-dependent Ginzburg-Landau (TDGL) equationwith nonconserved dynamics. The nonlinear terms in these equationsdissipate fluctuations and facilitate energy transfers among Fourier modes. In the TDGL equation, only the ϕ(k=0,t) mode survives, and the order parameter ϕ(r,t) approaches a uniform state with ϕ=+1 or -1. On the other hand, there is no dynamics of the ϕ(k=0,t) mode in the CH equationdue to the conservation law, highlighting the different dynamics of these equations.
Published Version
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