CNCS Center for Nonlinear and Complex Systems
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Publications [#323248] of Joshua Socolar

Papers Published

  1. Rutkowski, DM; Marcoux, C; Socolar, JES; Hall, CK, Formation of limit-periodic structures by quadrupole particles confined to a triangular lattice, Physical review. E, vol. 95 no. 1 (January, 2017), American Physical Society [doi]
    (last updated on 2017/12/12)

    Abstract:
    We have performed Monte Carlo (MC) simulations on two-dimensional systems of quadrupole particles confined to a triangular lattice in order to determine the conditions that permit the formation of a limit-periodic phase. We have found that limit-periodic structures form only when the rotations of the particles are confined to a set of six orientations aligned with the lattice directions. Related structures including striped and unidirectional rattler phases form when π/6 rotations or continuous rotations are allowed. Order parameters signaling the formation of the limit-periodic structure and related structures are measured as a function of temperature. Our findings on the formation of the limit-periodic structure elucidate features relevant to the experimental creation of such a structure, which is expected to have interesting vibrational and electromagnetic modes.