2000/05/11 by Irene Giardina, Giardina, Irene, Jean‐Philippe Bouchaud +5
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · Physics and Astronomy · #Condensed Matter (cond-mat) #Evolution and Genetic Dynamics #FOS: Physical sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.48550/arxiv.cond-mat/0005187
4 pages, 4 .eps figures. Submitted to Physical Review Letters Corrected sign in flow equation, one figure changed, abstract changed. S
openalex publication_date 2000/05/11 · arxiv created 2000/07/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the competition between barrier slowing down and proliferation induced superdiffusion in a model of population dynamics in a random force field. Numerical results in d=1 suggest that a new intermediate diffusion behaviour appears. We introduce the idea of proliferation assisted barrier crossing and give a Flory like argument to understand qualitatively this non trivial diffusive behaviour. A one loop RG analysis close to the critical dimension dc=2 confirms that the random force fixed point is unstable and flows towards an uncontrolled strong coupling regime.