| Abstract: | Abstract: Statistical mechanics of two coupled vector fields is studied within the framework of the tight-binding model with nonlinearity which describes propagation of polarized light in discrete waveguides in the presence of the four-wave mixing. The energy and power conservation laws enable the formulation of the equilibrium properties of the polarization state in terms of the Gibbs measure with positive temperature. The transition line T = \infty is established beyond which the discrete vector solitons are created. In the limit of the large nonlinearity an analytical expression for the distribution of Stokes parameters is obtained which is found to be dependent only on the statistical properties of the initial polarization state and not on the strength of nonlinearity. |
