Journal article

Publication year: 1992

Pages: 1616-1619

Journal: Physical Review Letters

Volume number: 69

Issue number: 10

ISSN: 0031-9007

DOI Link: https://doi.org/10.1103/PhysRevLett.69.1616

Publisher: American Physical Society

Abstract: 
We study a population of interacting species, described by the replicator model well established in theoretical biology. Using methods of statistical physics we present an exact steady-state solution to the model as a function of the population's cooperation pressure u when the number of species is large and the interactions are taken as random. When u is lowered to a critical value u(c), the solution becomes unstable. This phase transition manifests itself by a 1/f behavior in the power spectrum of the system's response against weak external noise.

Harvard Citation style: OPPER, M. and DIEDERICH, S. (1992) PHASE-TRANSITION AND 1/F NOISE IN A GAME DYNAMIC-MODEL, Physical Review Letters, 69(10), pp. 1616-1619. https://doi.org/10.1103/PhysRevLett.69.1616

APA Citation style: OPPER, M., & DIEDERICH, S. (1992). PHASE-TRANSITION AND 1/F NOISE IN A GAME DYNAMIC-MODEL. Physical Review Letters. 69(10), 1616-1619. https://doi.org/10.1103/PhysRevLett.69.1616