Sensitivity to initial conditions in the Bak-Sneppen model of biological evolution |
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Authors: | FA Tamarit SA Cannas C Tsallis |
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Institution: | (1) Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, Ciudad Universitaria, 5000 Córdoba, Argentina, AR;(2) Departamento de Fisica, Universidade Federal do Rio Grande do Norte, 59072-970 Natal-RN, Brazil, BR |
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Abstract: | We consider biological evolution as described within the Bak and Sneppen 1993 model. We exhibit, at the self-organized critical
state, a power-law sensitivity to the initial conditions, calculate the associated exponent, and relate it to the recently
introduced nonextensive thermostatistics. The scenario which here emerges without tuning strongly reminds of that of the tuned onset of chaos in say logistic-like one-dimensional maps. We also calculate the dynamical exponent z.
Received: 5 November 1997 / Received in final form: 11 November 1997 / Accepted: 19 November 1997 |
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Keywords: | PACS 05 20 -y Statistical mechanics - 05 45 +b Theory and models of chaotic systems - 05 70 Ln Nonequilibrium thermodynamics irreversible processes |
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