Condensation of Classical Nonlinear Waves in a Two-Component System

Details Condensation of Classical Nonlinear Waves in a Two-Component System Condensation of Classical Nonlinear Waves in a Two-Component System

2008-03-06

arxiv.org/abs/0803.0884v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 figure

Scientific paper

We study the formation of large-scale coherent structures (a condensate) for a system of two weakly interacting classical waves. Using the coupled defocusing nonlinear Schr\"odinger (NLS) equations as a representative model, we focus on condensation in the phase mixing regime. We employ weak turbulence theory to provide a complete thermodynamic description of the classical condensation process. We show that the temperature and the condensate mass fractions are fully determined by the total number of particles in each component and the initial total energy. Moreover, we find that, at higher energies, condensation can occur in only one component. The theory presented provides excellent agreement with results of numerical simulations obtained by directly integrating the dynamical model.

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