PFC theory derived from DDFT through the standard approximations acquires spurious stripe phases, a spurious second spinodal, and a no-solution region; a one-mode approximation for log density is very accurate.
For example, for hexagons in DDFT-3, we take n(x) = µ σ(0) ( −1 +eik1·x +eik2·x +eik3·x + c.c
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Deriving phase field crystal theory from dynamical density functional theory: consequences of the approximations
PFC theory derived from DDFT through the standard approximations acquires spurious stripe phases, a spurious second spinodal, and a no-solution region; a one-mode approximation for log density is very accurate.