1997/02/25 by Miguel A. Muñoz, M. A. Muñoz, Terence Hwa +1 · 1 citation
Economics, Econometrics and Finance · Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Anomalous diffusion #Complex Systems and Time Series Analysis #Computer science #Condensed matter physics #Diffusion #Engineering #Homogenization (climate) #Limiting #Mathematical analysis #Mathematics #Multiplicative function #Multiplicative noise #Noise (video) #Nonlinear system #Phase transition #Physics #Quantum mechanics #Statistical physics #Theoretical and Computational Physics #Universality (dynamical systems) #Upper and lower bounds #cond-mat.stat-mech
paper · pdf · doi:10.1209/epl/i1998-00123-2
4 pages, LaTeX, text and figures also available at http://matisse.ucsd.edu/~hwa
arxiv created 1997/02/25 · openalex publication_date 1998/01/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Nonlinear diffusion is studied in the presence of multiplicative noise. The nonlinearity can be viewed as a "wall" limiting the motion of the diffusing field. A dynamic phase transition occurs when the system "unbinds" from the wall. Two different universality classes, corresponding to the cases of an "upper" and a "lower" wall, are identified and their critical properties are characterized. While the lower wall problem can be understood by applying the knowledge of linear diffusion with multiplicative noise, the upper wall problem exhibits an anomaly due to an effective long-ranged repulsion exerted by the wall.