Metabolic Dynamics of Ecosystems Realizing Steady Log-Uniform Distributions: the Case of Commodities in Shops
| Autor: | Misako Takayasu, Gen Sakoda, Hideki Takayasu |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Diffusion (acoustics)
Computer science Complex system random multiplicative diffusion General Physics and Astronomy lcsh:Astrophysics 01 natural sciences Article 010305 fluids & plasmas log-uniform symbols.namesake 0103 physical sciences lcsh:QB460-466 Statistical physics Pareto distribution 010306 general physics lcsh:Science ecosystem Stationary distribution Econophysics Stochastic process Multiplicative function lcsh:QC1-999 Nonlinear system econophysics symbols point-of-sales lcsh:Q metabolism lcsh:Physics |
| Zdroj: | Entropy, Vol 22, Iss 3, p 267 (2020) Entropy Volume 22 Issue 3 |
| Popis: | From the viewpoint of statistical physics, ecosystems in the real world are very attractive targets of research as examples of far-from thermal equilibrium systems where various kinds of components are coming in and out continuously while keeping the whole systems quasi-stationary. As a fortunate example of a fully-observable ecosystem, we analyzed the comprehensive data of convenience stores where approximately 5% of the commodity species is replaced by new ones daily. The share of stores for each species fluctuates significantly however, the entire distribution of shares is fairly stationary and follows the log-uniform distribution, that is, the power law distribution with exponent 0. We introduce an empirical time evolution model of shares and firstly deduce that the key mechanism of realizing this stationary distribution is random multiplicative diffusion in finite size spaces. Our model based on the general stochastic process is expected to be applicable to various dynamic systems, especially complex systems with highly nonlinear interactions. |
| Databáze: | OpenAIRE |
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