PMID: 11909306Mar 23, 2002Paper

Computer simulations of a two-dimensional system with competing interactions

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
A D Stoycheva, S J Singer

Abstract

The results and methodology of large scale computer simulations of the two-dimensional dipolar Ising model with long-range interactions are reported. Systems as large as 117,649 particles were studied to elucidate the elementary excitations and phase diagram of two-dimensional systems, such as Langmuir monolayers, thin garnet films, and adsorbed films on solid surfaces, which spontaneously form patterns of stripes, bubbles, and intermediately shaped domains. The challenging numerical investigations of large scale systems with long-range interactions at low temperatures were made possible by combining the fast multipole method and a non-Metropolis Monte Carlo sampling technique. Our simulations provide evidence that, at sufficiently high ratios of the repulsive to the attractive coupling constant for the model, twofold stripe order in the systems of interest is lost through a defect-mediated mechanism. Heat capacity data and the excitations observed in our simulations as the system disorders indicate that it is most likely an instance of a Kosterlitz-Thouless phase transition. The results from simulations with and without external field are in excellent agreement with the predictions of an analytic scaling theory [A. D. Stoychev...Continue Reading

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Citations

Dec 24, 2008·The Journal of Chemical Physics·Juan J CerdàC Holm
May 6, 2006·The Journal of Chemical Physics·A Imperio, L Reatto
Dec 24, 2017·Scientific Reports·L A PamyatnykhM S Lysov
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·K NelissenF M Peeters
Oct 21, 2009·Journal of Physics. Condensed Matter : an Institute of Physics Journal·K L KohlstedtM Olvera de la Cruz
Oct 4, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Eliana AsciuttoCeleste Sagui
Aug 9, 2003·Physical Review Letters·R van GastelG L Kellogg
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alessandra ImperioStefano Zapperi
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C J Olson ReichhardtA R Bishop
Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E A Jagla
May 24, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C J Olson ReichhardtA R Bishop
Dec 12, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Saurish ChakrabartyZohar Nussinov

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