Abstract
A one-dimensional model of hard rods with a long-range cosine interaction is solved exactly in some canonical ensemble cases. It exhibits a crystalline phase at low temperatures as a result of a spontaneous symmetry breaking of the order parameter which represents an effective collective mode. When the wavelength of the attractive potential is shorter than and commensurate with the rod length, the rods behave like point particles in a reduced volume; when the wavelength is comparable to the system size, the effective potential is equivalent to a quenched random field.
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