Abstract
The nonequilibrium asymptotic dynamics of a model for aging in a population of individuals initially having a random distribution of survival rates is studied. The model drives itself toward a steady state, and the average age tends toward a well-defined value. An analytic derivation shows that the average age of the members of the population decays in a power law fashion with the leading term of ordert −1. Monte Carlo simulations agree with the analytic work, and show that thet −1 decay is universally observed even when somatic mutations are introduced into the population.
Similar content being viewed by others
References
M. T. Landahl and E. Mollo-Christensen, eds.,Turbulence and Random Processes in Fluid Mechanics, 2nd ed. (Cambridge University Press, Cambridge, 1992).
P. Alstrom,Phys. Rev. A 38:4905 (1988).
D. Sornette,J. Phys. (Paris), submitted.
P. Bak, C. Tang, and K. Wiesenfeld,Phys. Rev. Lett. 59:381 (1987).
G. Grinstein, D. H. Lee, and S. Sachdev,Phys. Rev. Lett. 66:177 (1991).
D. ben-Avraham, M. A. Burschka, and C. R. Doering,J. Stat. Phys. 60:695 (1990).
F. Family and T. Vicsek,J. Phys. A 18:L75 (1985).
L. S. Schulman and P. E. Seiden,Science 233:425 (1986).
W. D. Hamilton,J. Theor. Biol. 12:12 (1966).
B. Charlesworth and J. A. Williamson,Genet. Res. 26:1 (1975).
M. R. Rose,Evolutionary Biology of Aging (Oxford University Press, Oxford, 1991).
L. Partridge and N. H. Barton,Nature 362:305 (1993).
D. Stauffer and N. Jan,Evolution, submitted.
K. Binder, ed.,Monte Carlo Methods in Statistical Physics (Springer-Verlag, 1979).
Author information
Authors and Affiliations
Additional information
Communicated by D. Stauffer
Rights and permissions
About this article
Cite this article
Ray, T.S. Self-organization of aging in a population approaching the steady state. J Stat Phys 74, 929–939 (1994). https://doi.org/10.1007/BF02188586
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02188586