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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Published in | Physica A Vol. 308; no. 1; pp. 135 - 147 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Elsevier B.V
15.05.2002
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Subjects | |
Online Access | Get full text |
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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. |
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ISSN: | 0378-4371 1873-2119 |
DOI: | 10.1016/S0378-4371(02)00548-4 |