1997/12/15 by Miguel A. Muñoz · 4 citations
Computer Science · Mathematics · Physics and Astronomy · #Computer science #Impossibility #Langevin equation #Mathematical analysis #Mathematics #Multiplicative function #Multiplicative noise #Noise (video) #Nonlinear Dynamics and Pattern Formation #Physics #Quantum mechanics #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Type (biology) #Universality (dynamical systems) #cond-mat
paper · pdf · doi:10.1103/physreve.57.1377
7 figures, Latex file
arxiv created 1997/12/15 · openalex publication_date 1998/02/01 · arxiv updated 2016/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a comparison of three different types of Langevin equations exhibiting absorbing states: the Langevin equation defining the Reggeon field theory, one with multiplicative noise, and a third type in which the noise is complex. Each one is found to describe a different underlying physical mechanism; in particular, the nature of the different absorbing states depends on the type of noise considered. By studying the stationary single-site effective potential, we analyze the impossibility of finding a reaction-diffusion model in the multiplicative noise universality class. We also discuss some theoretical questions related to the nature of complex noise, as for example, whether it is necessary or not to consider a complex equation in order to describe processes as the annihilation reaction, A+\stackrel\ensuremath→A0.