%0 Book Section %1 statphys23_0808 %A Angelani, L. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K disordered glass lasers random statphys23 systems topic-9 transition %T Statistical mechanics of random lasers: a glassy scenario %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=808 %X The electromagnetic field in nonlinear disordered active media, i.e. random lasers, can be described by coupled-mode equations for the complex field amplitudes introducing an Hamiltonian with many-body interaction terms among overlapping modes. Within the quenched-amplitudes approximation, the relevant variables are the mode-phases which interact through quenched disordered couplings $J$: equation H = - \sum_spqr J_spqr ( \varphi_s+\varphi_p-\varphi_q-\varphi_r) \nonumber equation Statistical mechanics methods can be applied to study the thermodynamics of the model. In the weakly disordered case (couplings fluctuation negligible with respect to their mean values) a paramagnetic-ferromagnetic phase transition is predicted, corresponding to phase-mode locking transition in multimode lasers. In the opposite regime (strongly disordered case) a glassy behaviour emerges: a one-step replica symmetry breaking glass transition is present at a given temperature (or pumping rate, i.e. stored energy in the modes), corresponding to a random mode-locking transition in random lasers. In the intermediate regime (couplings fluctuation comparable with mean values) a reach phase diagram is expected to hold, with the presence of paramagnetic, ferromagnetic and glassy phases. Implications on numerical and real experiments will be discussed.\\ \\ References: 1. L.~Angelani, C.~Conti, G.~Ruocco, and F.~Zamponi, Phys. Rev. Lett. 96, 065702 (2006), Phys. Rev. B 74, 104207 (2006). 2. L.~Angelani, C.~Conti, L.~Prignano, G.~Ruocco, and F.~Zamponi, Phys. Rev. B (submitted); cond-mat/0612024.

@incollection{statphys23_0808, abstract = {The electromagnetic field in nonlinear disordered active media, i.e. random lasers, can be described by coupled-mode equations for the complex field amplitudes introducing an Hamiltonian with many-body interaction terms among overlapping modes. Within the quenched-amplitudes approximation, the relevant variables are the mode-phases which interact through quenched disordered couplings $J$: \begin{equation} H = - \sum_{spqr} J_{spqr} \cos ( \varphi_{s}+\varphi_{p}-\varphi_{q}-\varphi_{r}) \nonumber \end{equation} Statistical mechanics methods can be applied to study the thermodynamics of the model. In the weakly disordered case (couplings fluctuation negligible with respect to their mean values) a paramagnetic-ferromagnetic phase transition is predicted, corresponding to phase-mode locking transition in multimode lasers. In the opposite regime (strongly disordered case) a glassy behaviour emerges: a one-step replica symmetry breaking glass transition is present at a given temperature (or pumping rate, i.e. stored energy in the modes), corresponding to a random mode-locking transition in random lasers. In the intermediate regime (couplings fluctuation comparable with mean values) a reach phase diagram is expected to hold, with the presence of paramagnetic, ferromagnetic and glassy phases. Implications on numerical and real experiments will be discussed.\\ \\ References: 1. L.~Angelani, C.~Conti, G.~Ruocco, and F.~Zamponi, Phys. Rev. Lett. {\bf 96}, 065702 (2006), Phys. Rev. B {\bf 74}, 104207 (2006). 2. L.~Angelani, C.~Conti, L.~Prignano, G.~Ruocco, and F.~Zamponi, Phys. Rev. B (submitted); cond-mat/0612024.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Angelani, L.}, biburl = {https://www.bibsonomy.org/bibtex/234b4e99ae0ddf23c244b08fc447d99f7/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {d9bc05f6abb4ca2a6ebe9323091358a7}, intrahash = {34b4e99ae0ddf23c244b08fc447d99f7}, keywords = {disordered glass lasers random statphys23 systems topic-9 transition}, month = {9-13 July}, timestamp = {2007-06-20T10:16:29.000+0200}, title = {Statistical mechanics of random lasers: a glassy scenario}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=808}, year = 2007 }