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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 7, issue 1/2
Nonlin. Processes Geophys., 7, 117–126, 2000
https://doi.org/10.5194/npg-7-117-2000
© Author(s) 2000. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
Nonlin. Processes Geophys., 7, 117–126, 2000
https://doi.org/10.5194/npg-7-117-2000
© Author(s) 2000. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

  30 Jun 2000

30 Jun 2000

Deterministic description of a phase transition in a medium of interacting waves

J. Vassalo Pereira J. Vassalo Pereira
  • Departamento de Física, Faculdade de Ciências, R. Escolo Politécnica, 58, 1294, Lisboa, Portugal

Abstract. We describe an effect of phase-locking catastrophe arising in an ensemble of a great number of oscillators interacting by means of their emitting waves. These waves can be either pulsatile, that is, soliton-like, or continuous stationary waves generated by the oscillators considered as resonators. Each one of these waves will introduce certain perturbations among the phases of the oscillators of the ensemble in such a way that it is possible to follow in time the distribution of these phases. In fact, we deduce the p.d.e's governing the evolution in time of this distribution, which displays a tendency of accumulating around certain of its values (phase-locking), and also of sudden increasing of the intensity of the physical effect (a "phase transition").

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