Monte Carlo studies of two-dimensional dislocation systems in applied external stress

S. Pafka, J. Cserti, G. Tichy

Research output: Article

1 Citation (Scopus)


A two-dimensional dislocation system on a triangular lattice is studied by Monte Carlo simulations with special emphasis on the effect of external stress applied to the system. For fixed values of the stress, only pairs of dislocations with opposite Burgers vectors are present to a considerable extent in the system at low temperatures, while with increasing temperature unbinding of the dislocation pairs occurs and leads to a phase transition. Our results are in agreement with earlier theoretical predictions, namely the Kosterlitz-Thouless-Berezinskii theory for zero stress and a model adopted by Khantha et al for the case of non-zero stress. The stress dependence of the critical temperature obtained from our Monte Carlo simulations is in very good agreement with the analytical expression derived by Khantha et al. Finally, we have found that stress-dependent dislocation currents appear in the system and they show behaviour similar to an electric current in the insulator-metal transition in layered superconductors.

Original languageEnglish
Pages (from-to)507-519
Number of pages13
JournalModelling and Simulation in Materials Science and Engineering
Issue number5
Publication statusPublished - dec. 1 1998


ASJC Scopus subject areas

  • Modelling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Computer Science Applications

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