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  • 1
    Electronic Resource
    Electronic Resource
    Diffusion reproduction processes (1990)
    Springer
    Journal of statistical physics 58 (1990), S. 849-861 
    Details
    ISSN: 1572-9613
    Keywords: Population dynamics ; fluctuation ; localization
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Interesting physics emerges from studying a population of reproducing individuals. Each can be regarded as a random walker, but it can either duplicate or die. Novel features of the collective behavior are quite surprising: if individuals reproduce or die freely, the life expectation is proportional to the size of the population, and if it is kept constant, the center of mass moves in space as if it were a single walker (i.e., the diffusion constant is independent of population's size). Biology-inspired interactions are also considered.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01026554
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  • 2
    Electronic Resource
    Electronic Resource
    Novel scaling behavior of directed polymers: Disorder distribution with long tails (1990)
    Springer
    Journal of statistical physics 61 (1990), S. 885-889 
    Details
    ISSN: 1572-9613
    Keywords: Directed polymers ; non-Gaussian distribution tails
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We study the problem of directed polymers (DP) on a square lattice. The distribution of disorderε is assumed to be independent but non-Gaussian. We show that for distributions with a power-law tailP(ε) ∼ 1/|ε|1+μ , whereμ〉2, so that the mean and variance are well defined, the scaling exponentv of the DP model depends onμ in a continuous fashion.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01027307
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  • 3
    Electronic Resource
    Electronic Resource
    Directed polymers in Hartree-Fock approximation (1989)
    Springer
    Journal of statistical physics 57 (1989), S. 1123-1128 
    Details
    ISSN: 1572-9613
    Keywords: Directed polymers ; replica trick ; self-consistent fields
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A replica trick is used to map the problem of directed polymers into a quantum mechanics problem ofn-body bound states. This bound-state problem is then treated using a self-consistent method of Hartree-Fock. Ford=2, the exact result of the DP exponents is reproduced; and for complex DP, the ground-state energyE n∼ n2 is found, confirming previous numerical results.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01020051
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