标题： 小规模性质的随机三次自催化反应-扩散模型 显示英文标题

标题： Small-scale properties of a stochastic cubic-autocatalytic reaction-diffusion model

摘要： 我们使用重整化技术研究随机三次自催化反应扩散（CARD）模型的小尺度性质。 我们对噪声引起的紫外发散进行重整化，并在单环情况下得到衰减率和耦合常数的β函数。 假设存在颜色（幂律）噪声，我们的结果表明，衰减率和耦合常数随尺度的变化关键取决于噪声指数。 将CARD模型解释为一个（非常简单的）生命系统的代理，我们的结果表明环境波动中的幂律相关性可以在更小尺度上既减少又增加结构的增长。 显示英文摘要

摘要： We investigate the small-scale properties of a stochastic cubic-autocatalytic reaction-diffusion (CARD) model using renormalization techniques. We renormalize noise-induced ultraviolet divergences and obtain beta functions for the decay rate and coupling at one-loop. Assuming colored (power law) noise, our results show that the behavior of both decay rate and coupling with scale depends crucially on the noise exponent. Interpreting the CARD model as a proxy for a (very simple) living system, our results suggest that power law correlations in environmental fluctuations can both decrease or increase the growth of structures at smaller scales.