UNSPECIFIED. (2004) Ito versus Stratonovich white-noise limits for systems with inertia and colored multiplicative noise. PHYSICAL REVIEW E, 70 (3 Part 2). -. ISSN 1063-651X

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Abstract

We consider the dynamics of systems in the presence of inertia and colored multiplicative noise. We study the limit where the particle relaxation time and the correlation time of the noise both tend to zero. We show that the limiting equation for the particle position depends on the magnitude of the particle relaxation time relative to the noise correlation time. In particular, the limiting equation should be interpreted either in the Ito or Stratonovich sense, with a crossover occurring when the two fast-time scales are of comparable magnitude. At the crossover the limiting stochastic differential equation is neither of Ito nor of Stratonovich type. This means that, after adiabatic elimination, the governing equations have different drift fields, leading to different physical behavior depending on the relative magnitude of the two fast-time scales. Our findings are supported by numerical simulations.

Item Type:	Journal Article
Subjects:	Q Science > QC Physics
Journal or Publication Title:	PHYSICAL REVIEW E
Publisher:	AMERICAN PHYSICAL SOC
ISSN:	1063-651X
Date:	September 2004
Volume:	70
Number:	3 Part 2
Number of Pages:	9
Page Range:	-
Identification Number:	10.1103/PhysRevE.70.036120
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/7948

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