title: Multiplicative noise induces zero critical frequency.
abstract: Stochastic Bloch equations which model the fluorescence of two-level molecules and atoms, NMR experiments, and Josephson junctions are investigated to illustrate the profound effect of multiplicative noise on the critical frequency of a dynamical system. Using exact solutions and the cumulant expansion we find two main effects: (i) even very weak noise may double or triple the number of critical frequencies, which is related to an instability of the system, and (ii) strong multiplicative noise may induce a nontrivial zero critical frequency thus wiping out the overdamped phase.
authors.affiliation: Department of Physics, Bar Ilan University, Ramat-Gan 52900, Israel.
authors.forename: Y
authors.initials: Y
authors.lastname: Peleg
authors.forename: E
authors.initials: E
authors.lastname: Barkai