Wave-turbulence description of interacting particles: Klein-Gordon model with a Mexican-hat potential.

@article{Gallet2015WaveturbulenceDO,
  title={Wave-turbulence description of interacting particles: Klein-Gordon model with a Mexican-hat potential.},
  author={Basile Gallet and Sergey V Nazarenko and B{\'e}reng{\`e}re Dubrulle},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2015},
  volume={92 1},
  pages={
          012909
        }
}
In field theory, particles are waves or excitations that propagate on the fundamental state. In experiments or cosmological models, one typically wants to compute the out-of-equilibrium evolution of a given initial distribution of such waves. Wave turbulence deals with out-of-equilibrium ensembles of weakly nonlinear waves, and is therefore well suited to address this problem. As an example, we consider the complex Klein-Gordon equation with a Mexican-hat potential. This simple equation… 

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References

SHOWING 1-10 OF 19 REFERENCES

Wave Turbulence

In this article, we state and review the premises on which a successful asymptotic closure of the moment equations of wave turbulence is based, describe how and why this closure obtains, and examine

Il nuovo cimento

HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and

X Acknowledgements

  • 1972

Journal de Physique

A and V

Physics Reports

  • Education

Journal of Physics G: Nuclear and Particle Physics

  • Journal of Physics G: Nuclear and Particle Physics
  • 2007

We thank Jean-Paul Blaizot for insightful discussions. During the time this work was conducted, Sergey Nazarenko was supported by Labex PALM ANR-10-LABX-0039 at SPEC laboratory

  • We thank Jean-Paul Blaizot for insightful discussions. During the time this work was conducted, Sergey Nazarenko was supported by Labex PALM ANR-10-LABX-0039 at SPEC laboratory

Physica D 238

  • 1524
  • 2009