6533b86dfe1ef96bd12ca043
RESEARCH PRODUCT
Thermalization of the dispersive three-wave interaction
Hans-rudolf JauslinAntonio PicozziS. Lagrangesubject
PhysicsDiffractionThermodynamic equilibriumGeneral Physics and AstronomyEnergy–momentum relationState (functional analysis)01 natural sciencesResonance (particle physics)010305 fluids & plasmasNonlinear systemThermalisationClassical mechanicsQuantum electrodynamics0103 physical sciences010306 general physicsDispersion (water waves)ComputingMilieux_MISCELLANEOUSdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-01-20 |