Computer simulations of two-dimensional melting with dipole-dipole interactions

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dc.creatorLin, Shizeng
dc.creatorZheng, Bo
dc.creatorTrimper, Steffen
dc.date2008-06-21
dc.date.accessioned2026-07-07T09:46:03Z
dc.date.available2026-07-07T09:46:03Z
dc.descriptionWe perform molecular dynamics and Monte Carlo simulations of two-dimensional melting with dipole-dipole interactions. Both static and dynamic behaviors are examined. In the isotropic liquid phase, the bond orientational correlation length 6 and susceptibility 6 are measured, and the data are fitted to the theoretical ansatz. An algebraic decay is detected for both spatial and temporal bond orientational correlation functions in an intermediate temperature regime, and it provides an explicit evidence for the existence of the hexatic phase. From the finite-size scaling analysis of the global bond orientational order parameter, the disclination unbinding temperature Ti is estimated. In addition, from dynamic Monte Carlo simulations of the positional order parameter, we extract the critical exponents at the dislocation unbinding temperature Tm. All the results are in agreement with those from experiments and support the Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) theory.
dc.description23 pages, 12figures
dc.identifierhttps://arxiv.org/abs/0806.3528
dc.identifierhttp://arxiv.org/abs/0806.3528
dc.identifierPhys. Rev. E 73, 066106 (2006)
dc.identifierdoi:10.1103/PhysRevE.73.066106
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163401
dc.subjectSoft Condensed Matter
dc.subjectClassical Physics
dc.subjectComputational Physics
dc.titleComputer simulations of two-dimensional melting with dipole-dipole interactions
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