Relaxation properties of weakly coupled stochastic Ginzburg-Landau models under intense noise.
We investigate time relaxation properties of some correlation functions of stochastic Ginzburg-Landau models with weak coupling and under intense noise. Using a Feynman-Kac representation and a "high-temperature"-type approach, we study the low-lying spectrum of the generator of the dynamics, which determines the relaxation properties. We give the one-particle mass and energy-momentum dispersion curve, and also the two-particle bound-state mass, and show that both masses increase with the noise strength, in contrast with the behavior in the small noise regime.
Pereira
Emmanuel
E
Center for Mathematical Sciences Research, Rutgers University, 110 Frelinghuysen Road, Piscataway, New Jersey 08854-8019, USA. epereira@math.rutgers.edu