Abstract
For the Cahn–Hilliard equation, the dynamics of the order parameter distribution with the values at plus and minus infinity corresponding to the binodal of the system is considered. A new family of exact solutions of this problem is analytically constructed. Solutions are expressed in terms of the Lambert W-function and generalized hypergeometric functions. It is shown that the dynamics of the interface width obey the power law with an exponent of 1 / 4 . The interface energy normalized to its equilibrium value is found to be equal to the arithmetic mean of the interface width normalized to its equilibrium value and its reciprocal.
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