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Microscopic noise, adaptation and survival in hostile environments

Author

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  • Y. Louzoun
  • N. M. Shnerb
  • S. Solomon

Abstract

The survival of autocatalytic agents in hostile environments depends on their ability to adapt their spatial configuration to local fluctuations. A model of diffusive reactants that extract the advantage of spatio-temporal fluctuations associated with the stochastic wandering of diffusive catalysts is discussed. Two arguments are presented for the basic processes behind this extraordinary behavior. In the first, the local colonies that evolve around any spatially advantageous region overlap in space-time and an infinite directed percolation cluster emerges. The second argument is based on the return probability of a diffusive agent that is shown to yield finite density of active “oases" with an exponentially large contribution to the reactant population. The different range of applicability of these survival lower bounds to small systems is discussed. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Suggested Citation

  • Y. Louzoun & N. M. Shnerb & S. Solomon, 2007. "Microscopic noise, adaptation and survival in hostile environments," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 56(2), pages 141-148, March.
    • Handle: RePEc:spr:eurphb:v:56:y:2007:i:2:p:141-148
    DOI: 10.1140/epjb/e2007-00093-7
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    Citations

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    Cited by:

    1. Sorin Solomon & Nataša Golo, 2015. "Microeconomic structure determines macroeconomic dynamics: Aoki defeats the representative agent," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 10(1), pages 5-30, April.
    2. G. Yaari & D. Stauffer & S. Solomon, 2008. "Intermittency and Localization," Papers 0802.3541, arXiv.org, revised Mar 2008.
    3. dos Santos, Renato Vieira & da Silva, Linaena Méricy, 2015. "Discreteness induced extinction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 17-25.
    4. Natasa Golo & Guy Kelman & David S. Bree & Leanne Usher & Marco Lamieri & Sorin Solomon, 2015. "Many-to-one contagion of economic growth rate across trade credit network of firms," Papers 1506.01734, arXiv.org.

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