2000/04/30 by Andrea Rocco, Ute Ebert, Wim van Saarloos · 3 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Computer science #Exponent #Front (military) #Geometry #Mathematical analysis #Mathematics #Metastability #Meteorology #Multiplicative function #Multiplicative noise #Noise (video) #Nonlinear Dynamics and Pattern Formation #Perturbation (astronomy) #Physics #Position (finance) #Quantum mechanics #Square root #Statistical physics #Telecommunications #cond-mat #nlin.PS #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreve.62.r13
published as Phys. Rev. E 62 (2000) R13-R16 · 4 pages, 1 figure. Final version with minor changes
arxiv created 2000/05/17 · openalex publication_date 2000/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We study the propagation of a "pulled" front with multiplicative noise that is created by a local perturbation of an unstable state. Unlike a front propagating into a metastable state, where a separation of time scales for sufficiently large t creates a diffusive wandering of the front position about its mean, we predict that for so-called pulled fronts, the fluctuations are subdiffusive with root mean square wandering Delta(t) approximately t(1/4), not t(1/2). The subdiffusive behavior is confirmed by numerical simulations: For t</=600, these yield an effective exponent slightly larger than 1/4.