Multiplicative Noise: Applications in Cosmology and Field Theory

Details Multiplicative Noise: Applications in Cosmology and Field Theory Multiplicative Noise: Applications in Cosmology and Field Theory

1993-08-21

arxiv.org/abs/gr-qc/9308022v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, LaTex, LA-UR-93-2105

Scientific paper

10.1111/j.1749-6632.1993.tb24685

Physical situations involving multiplicative noise arise generically in cosmology and field theory. In this paper, the focus is first on exact nonlinear Langevin equations, appropriate in a cosmologica setting, for a system with one degree of freedom. The Langevin equations are derived using an appropriate time-dependent generalization of a model due to Zwanzig. These models are then extended to field theories and the generation of multiplicative noise in such a context is discussed. Important issues in both the cosmological and field theoretic cases are the fluctuation-dissipation relations and the relaxation time scale. Of some importance in cosmology is the fact that multiplicative noise can substantially reduce the relaxation time. In the field theoretic context such a noise can lead to a significant enhancement in the nucleation rate of topological defects.

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