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Nota de FísicaPublicado

Imitation Games: Power-law Sensitivity to Initial Conditions and Nonextensivity

A. R. R. Papa; C. Tsallis

1997

Datos de la publicación

Autores
A. R. R. Papa; C. Tsallis
Tipo
Nota de Física
Estado
Publicado
Fecha de publicación
1997
Descripción
We exhibit, at the self-organized critical state, a power-law sensitivity to the initial conditions in the system of competing logistic maps introduced by Suzuki and Kaneko (1994), and which modelizes the battle of birds for defending their territories. From the associated exponent we obtain the value for the entropic index ''q'' which defines the recently introduced nonextensive generali- zation of the Boltzmann-Gibbs thermostatistics. In addition to that, we calculate the dynamical exponent ''z''. We obtained <math> q \simeq - 0.69 \,\!</math> and <math> z \simeq 1.32 \,\!</math> for a mean-field-type calculation <math>(d = \infty )\,\!</math>, and <math> q \simeq - 0.39 \,\!</math> and <math> z \simeq 1.12\,\!</math> for the square lattice (d = 2).
Año
1997
Número
CBPF-NF-030/97
Vínculo con tesis
No
Vínculo con beca
No
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