Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-09-16
Phys. Rev. B 83, 134204 (2011)
Physics
Condensed Matter
Statistical Mechanics
20 pages, 11 Figures
Scientific paper
10.1103/PhysRevB.83.134204
The statistical properties of the phases of several modes nonlinearly coupled in a random system are investigated by means of a Hamiltonian model with disordered couplings. The regime in which the modes have a stationary distribution of their energies and the phases are coupled is studied for arbitrary degrees of randomness and energy. The complexity versus temperature and strength of nonlinearity is calculated. A phase diagram is derived in terms of the stored energy and amount of disorder. Implications in random lasing, nonlinear wave propagation and finite temperature Bose-Einstein condensation are discussed.
Conti Claudio
Leuzzi Luca
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