Imaginary noise and parity conservation in the reaction A+A⇌0

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The master equation for the reversible reaction A+A 0 is considered in Poisson representation, where it is equivalent to a Langevin equation with imaginary noise for a complex stochastic variable ��. Such Langevin equations appear quite generally in field-theoretic treatments of reaction-diffusion problems. For this example we study the probability flow in the complex ��plane both analytically and by simulation. We show that this flow has various curious features that must be expected to occur similarly in other Langevin equations associated with reaction-diffusion problems.

12 pages, 5 figures

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