The avalanche dynamics in Bak-Sneppen evolution model observed with standard distribution width of fitness
نویسندگان
چکیده
We introduce the standard distribution width of fitness in the Bak-Sneppen evolution model. Through observing the fluctuation of this quantity in evolution, we find a different hierarchy of avalanche dynamics, w0 avalanche. We also obtain the corresponding gap equation and the self-organized threshold wc. The critical exponents (τ, γ and ρ), which describe the behavior of avalanche size distribution, behavior of average avalanche size and behavior of relaxation to attractor, respectively, are calculated with numerical simulation. The exact master equation and γ equation are derived. And the scaling relations are established among the critical exponents of this new avalanche. PACS numbers: 87.10.+e, 05.40.-a, 05.65.+b Typeset using REVTEX ∗Email address: [email protected] 1
منابع مشابه
Avalanche dynamics in Bak-Sneppen evolution model observed with standard distribution width of fitness
We introduce the standard distribution width of fitness to characterize the global and individual features of a ecosystem in the Bak-Sneppen evolution model. Through tracking this quantity in evolution, a different hierarchy of avalanche dynamics, w0 avalanche is observed. The corresponding gap equation and the self-organized threshold wc are obtained. The critical exponents τ, γ and ρ, which d...
متن کاملAsymptotic fitness distribution in the Bak-Sneppen model of biological evolution with four species
We suggest a new method to compute the asymptotic fitness distribution in the Bak–Sneppen model of biological evolution. As applications we derive the full asymptotic distribution in the four-species model, and give an explicit linear recurrence relation for a set of coefficients determining the asymptotic distribution in the five-species model.
متن کاملLimit Behavior of the Bak–sneppen Evolution Model by Ronald Meester
One of the key problems related to the Bak–Sneppen evolution model on the circle is computing the limit distribution of the fitness at a fixed observation vertex in the stationary regime as the size of the system tends to infinity. Some simulations have suggested that this limit distribution is uniform on (f,1) for some f ∼ 2/3. In this article, we prove that the mean of the fitness in the stat...
متن کاملJa n 20 03 On the limit behaviour of the Bak - Sneppen evolution model
One of the key problems related to the Bak-Sneppen evolution model on the circle is to compute the limit distribution of the fitness at a fixed observation vertex in the stationary regime, as the size of the system tends to infinity. Simulations in [4] and [1] suggest that this limit distribution is uniform on (f, 1), for some f ∼ 2/3. In this paper we prove that the mean of the fitness in the ...
متن کاملUniversality Class of Bak-Sneppen Model on Scale-Free Network
We study the critical properties of the Bak-Sneppen coevolution model on scalefree networks by Monte Carlo method. We report the distribution of the avalanche size and fractal activity through the branching process. We observe that the critical fitness fc(N) depends on the number of the node such as fc(N) ∼ 1/ log(N) for both the scale-free network and the directed scale-free network. Near the ...
متن کامل