原型化学振荡器中的内禀涨落效应：亚稳态和开关
Effects of intrinsic fluctuations in a prototypical chemical oscillator: metastability and switching
摘要：
内在或人口统计噪声已被证明在包括捕食者-被捕食者种群、细胞内生化反应和振荡化学反应系统在内的各种系统的动力学中起重要作用，并且已知会引起振荡和斑图形成，其远远超出标准平均场分析所预测的参数范围。最初的动机由实验模型的细胞和组织中的细胞是由化学试剂在乳液液滴中分离的代表，我们研究的随机mixselator，一个简单的激活剂-抑制剂的化学反应模型。我们的工作建立在最近的研究结果的基础上，并希望了解当抑制剂种类的时间尺度快于激活剂时内在波动所起的作用。在这个限制，我们观察到噪声引起的切换之间的小振幅和大振幅的振荡，持续大系统尺寸（N），并深入到平均场相图的非振荡部分。我们得到了两个振荡态之间的第一次通过时间的标度关系。从我们的标度函数，我们表明，第一次通过时间有一个很好的定义在大N极限的形式。因此，在小噪声和大时标分离的限制下，对噪声的仔细处理将导致一组不同于从标准平均场极限获得的非平凡确定性方程。
英文摘要：
Intrinsic or demographic noise has been shown to play an important role in the dynamics of a variety of systems including predator-prey populations, intracellular biochemical reactions, and oscillatory chemical reaction systems, and is known to give rise to oscillations and pattern formation well outside the parameter range predicted by standard mean-field analysis. Initially motivated by an experimental model of cells and tissues where the cells are represented by chemical reagents isolated in emulsion droplets, we study the stochastic Brusselator, a simple activator-inhibitor chemical reaction model. Our work builds on the results of recent studies and looks to understand the role played by intrinsic fluctuations when the timescale of the inhibitor species is fast compared to that of the activator. In this limit, we observe a noise induced switching between small and large amplitude oscillations that persists for large system sizes (N), and deep into the non oscillatory part of the mean-field phase diagram. We obtain a scaling relation for the first passage times between the two oscillating states. From our scaling function, we show that the first passage times have a well defined form in the large N limit. Thus in the limit of small noise and large timescale separation a careful treatment of the noise will lead to a set of non-trivial deterministic equations different from those obtained from the standard mean-field limit.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
