Non-Hermitian random matrices and the Calogero-Sutherland model - art. no.194102

Ve study the statistical properties of the eigenvalues of non-Hermitian ope rators associated with the dissipative complex systems. By considering the Gaussian ensembles of such operators, a hierarchical relation between the c orrelators. is obtained. Further, the eigenvalues are found to behave Like particles moving on a complex plane under two-body (inverse square) and thr ee-body interactions and there seems to underlie a deep connection and univ ersality in the spectral behavior of different complex systems.