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

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 φ. Such Langevin equations appear quite generally in field-theoretic treatments of reaction–diffusion p...

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Bibliographic Details
Published inPhysica A Vol. 308; no. 1; pp. 135 - 147
Main Authors Deloubrière, O., Frachebourg, L., Hilhorst, H.J., Kitahara, K.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.05.2002
Subjects
Imaginary noise
Langevin equation
Reaction–diffusion processes
05.40+j
Imaginary noise
Langevin equation
Reaction–diffusion processes
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Summary: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 φ. 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 φ 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.
ISSN:0378-4371
1873-2119
DOI:10.1016/S0378-4371(02)00548-4