2002/05/01 by Olivier Deloubrière, O. Deloubrière, L. Frachebourg +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Applied mathematics #Computer science #Conservation law #Flow (mathematics) #Geometry #Langevin equation #Master equation #Mathematical analysis #Mathematical physics #Mathematics #Noise (video) #Parity (physics) #Physics #Poisson distribution #Quantum mechanics #Statistical physics #Statistics #Stochastic differential equation #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1016/s0378-4371(02)00548-4
published as Physica A 308 (2002) 135 · 12 pages, 5 figures
openalex publication_date 2002/05/01 · arxiv created 2016/03/04 · arxiv updated 2016/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 ϕplane 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.