Population dynamics in a random environment

Details Population dynamics in a random environment Population dynamics in a random environment

2000-05-11

arxiv.org/abs/cond-mat/0005187v2

Physics

Condensed Matter

4 pages, 4 .eps figures. Submitted to Physical Review Letters Corrected sign in flow equation, one figure changed, abstract ch

Scientific paper

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.

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