PHASE-TRANSITION AND 1/F NOISE IN A GAME DYNAMIC-MODEL
PHASE-TRANSITION AND 1/F NOISE IN A GAME DYNAMIC-MODEL
复制标题
DOI：
10.1103/physrevlett.69.1616
复制
发表时间：
1992-09-07
影响因子：
8.6
通讯作者：
DIEDERICH, S
中科院分区：
文献类型：
--
作者：
OPPER, M;DIEDERICH, S
我们研究了一个相互作用的物种群体，由理论生物学中建立的复制子模型描述。使用统计物理的方法，我们提出了一个精确的稳态解的模型作为人口的合作压力u的函数时，物种的数量是大的，相互作用是随机的。当u降低到临界值u（c）时，解变得不稳定。这种相变通过系统对弱外部噪声的响应的功率谱中的1/f行为表现出来。
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.