Randomwalk model for kink-antikink annihilation in a fluctuating environment

Research output: Contribution to conferencePaper


In this report, the kink-antikink interaction, in one spatial dimension, is revised in the framework of a paradigmatic model for bistability (real Ginzburg- Landau equation). In particular, it is pointed out that, when it is taking into account the fluctuations, drastically changes the main features of the interaction. To wit, since the long distance interaction is exponentially weak, the kink-antikink movement is ruled by the fluctuations. A simple random walk model, that incorporates the pair self-annihilation, is proposed. We discussed the implications that, consider the fluctuations, has in the coarsening dynamics. That is, the coarsening law, for the growing of the domains in each stable state, changes from being logarithmic to becoming in the power law √ t.
Original languageAmerican English
Number of pages10
StatePublished - 1 Jan 2016
EventSpringer Proceedings in Physics -
Duration: 1 Jan 2016 → …


ConferenceSpringer Proceedings in Physics
Period1/01/16 → …


  • Kink-antikink Interactions
  • Real Ginzburg-Landau equation
  • Simple Random Walk Model
  • Annihilation Process
  • Noise Intensity


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