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Faceted-to-rough transition in a branching growth model


  • Lucena, Liacir S
  • da Silva, Luciano R
  • Roux, Stéphane


A growth model, introduced to describe the development of branched polymers in an heterogeneous environment, gives rise to clusters whose boundary is either faceted or rough. We study the transition between these two morphologies as a function of the parameters of the model. The phase diagram is obtained by direct numerical simulations. The nature of the transition is discussed.

Suggested Citation

  • Lucena, Liacir S & da Silva, Luciano R & Roux, Stéphane, 1999. "Faceted-to-rough transition in a branching growth model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 266(1), pages 86-91.
  • Handle: RePEc:eee:phsmap:v:266:y:1999:i:1:p:86-91 DOI: 10.1016/S0378-4371(98)00664-5

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    References listed on IDEAS

    1. Quispel, G.R.W. & Capel, H.W. & Papageorgiou, V.G. & Nijhoff, F.W., 1991. "Integrable mappings derived from soliton equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 173(1), pages 243-266.
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