Complexity of waves in nonlinear disordered media
Statistical Mechanics
2011-09-14 v1 Disordered Systems and Neural Networks
Optics
Abstract
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.
Cite
@article{arxiv.1009.3290,
title = {Complexity of waves in nonlinear disordered media},
author = {Claudio Conti and Luca Leuzzi},
journal= {arXiv preprint arXiv:1009.3290},
year = {2011}
}
Comments
20 pages, 11 Figures