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Population dynamics in a random environment | | Irene Giardina
; Jean-Philippe Bouchaud
; Marc Mezard
; | | Date: |
11 May 2000 | | Subject: | cond-mat | | Affiliation: | CEA-Saclay and LPTMS Orsay | | Abstract: | 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 d_c=2 confirms that the random force fixed point is unstable and flows towards an uncontrolled strong coupling regime. | | Source: | arXiv, cond-mat/0005187 | | Services: | Forum | Review | PDF | Favorites | |
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