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原文連結
論文資訊
- 類型：已發表論文
- 日期：2015-10-09
摘要
We describe the lifetimes associated with the 隨機 演化 from an unstable uniform state to a patterned one when the time 演化 of the field is controlled by a nonlocal Fisher equation. A small noise is added to the 演化 equation to define the lifetimes and to calculate the mean first-passage time of the 隨機 field through a given threshold value, before the patterned steady state is reached. In order to obtain analytical results we introduce a 隨機 multiscale perturbation expansion. This multiscale expansion can also be used to tackle multiplicative 隨機 partial differential equations. A critical slowing down is predicted for the marginal case when the Fourier phase of the unstable initial condition is null. We carry out 蒙地卡羅 simulations to show the agreement with our theoretical predictions. Analytic res
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