Gyroid symmetry and phase diagram of weak crystallization

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Abstract
The phase diagram in the (τ-δ) plane, where τ is the reduced temperature and δ is a parameter characterizing the anisotropy of the fourth vertex of the effective Hamiltonian, is constructed on the basis of the standard mean-field approximation of the theory of weak crystallization. It is shown that the region of the gyroid phase dominates the phase diagram for intermediate values of the parameters τ and δ. An expression is obtained for the free energy of the gyroid phase.