On the two Green's function procedures for transport noise

K.M. van Vliet

Physica A: Statistical Mechanics and its Applications, 1979, vol. 99, issue 1, 345-349

Abstract: The noise spectra of y(r, t) governed by (∂/∂t + λ)y(r, t) = ξ(r, t), where ξ is a volume Langevin source, are expressed with the aid of the Fourier-Laplace transformed Green's function G. We give the response form (quadratic in G) and the correlation form (linear in G plus quadratic surface term). In the latter we need the covariance function Γ(r, r'), which is converted to Sξ by the λ-theorem. We show that the correlation form is invariant against the choice of the particular solution ĝG of the λ-theorem. In uniform systems one can usually choose ĝG such that the surface contribution vanishes.

Date: 1979
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:99:y:1979:i:1:p:345-349

DOI: 10.1016/0378-4371(79)90141-9

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