SYMMETRY APPROACH TO THE LIQUID SOLID TRANSITION

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Abstract
The transition from a liquid to a solid is discussed in terms of a symmetry breaking expansion around the dense isotropic liquid. The construction of the order parameter for general tensorial fields is described using the symmetry properties and elements of symmorphic or nonsymmorphic space groups. This generalizes standard results for the structure factors of scalar order parameters. The structure of the Landau expansion using these order parameters and its implications are discussed. A mean field theory for the freezing of fluids with spherically symmetric atomic units is derived and its structural implications are discussed

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