| Issue |
EPL
Volume 79, Number 6, September 2007
|
|
|---|---|---|
| Article Number | 64001 | |
| Number of page(s) | 6 | |
| Section | Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics | |
| DOI | https://doi.org/10.1209/0295-5075/79/64001 | |
| Published online | 21 August 2007 | |
Thermalization of the dispersive three-wave interaction
CNRS-Institut Carnot de Bourgogne, UMR 5209 - Dijon, France
Received:
21
March
2007
Accepted:
27
July
2007
We investigate the role of dispersion effects on the long-term evolution of the nonlinear three-wave interaction. We show that the three waves exhibit, as a general rule, an irreversible evolution towards a thermodynamic equilibrium state in which they propagate with identical velocities. As a result of this thermalization process, the three-wave system is driven away from spatio-temporal resonance, so that the equilibrium state does not satisfy the (phase-matching) resonant conditions of energy and momentum conservation for the averaged frequencies. Moreover, we show that the interplay between temporal dispersion and spatial diffraction leads to the emergence of a peculiar equilibrium state characterized by an X-shaped spatio-temporal spectrum.
PACS: 42.65.Sf – Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics / 05.45.-a – Nonlinear dynamics and chaos / 42.25.Kb – Coherence
© Europhysics Letters Association, 2007
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