Stochastic resonance and hysteresis in climate with state-dependent fluctuations.,Physical Review E

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Stochastic resonance and hysteresis in climate with state-dependent fluctuations.
Physical Review E ( IF 2.2 ) Pub Date : 2020-06-29 , DOI: 10.1103/physreve.101.062145
Moupriya Das ₁ , Holger Kantz ₁

Affiliation

We consider two aspects in climatic science where bistability between the two stable states of the systems is observed. One is the transition between the glacial and the interglacial period in Earth's glacial cycle. Another is the thermohaline circulation in the North Atlantic ocean. Both of these phenomena can be modeled by the overdamped dynamics of a Brownian particle in a double-well potential subject to periodic forcing. For the former case, the two wells represent two different climates and the periodic forcing is sufficiently weak not to cause a transition between the two states without the effect of the noise. Whereas in case of the latter phenomenon, the two states correspond to the two different conditions of the flow and the strength of the periodic forcing is high enough to give rise to hysteresis in the system. We propose that one important component of the dynamics, short-term fluctuations related to weather, in both of these cases, depends on the current climatic state of the system. This leads to introduction of the state-dependent diffusion coefficients in the dynamics because the diffusion coefficient represents the strength of the fluctuations. We justify our argument by analyzing the

δ^{18} O

record for the glacial cycle model. We have shown that this consideration can produce certain features in the dynamics which agree with the real observations in case of both glacial cycles and thermohaline flow.

中文翻译：

气候具有状态依赖性波动的随机共振和滞后现象。

我们考虑气候科学的两个方面，其中观察到系统的两个稳定状态之间的双稳态。一种是地球冰川周期中冰川期和间冰期之间的过渡。另一个是北大西洋的热盐环流。这两种现象都可以通过受到周期性强迫的双阱势中布朗粒子的过阻尼动力学建模。对于前一种情况，两个井代表两种不同的气候，周期性强迫足够弱，不会在没有噪声影响的情况下导致两个状态之间的过渡。而在后一种现象的情况下，这两种状态对应于两种不同的流动条件，并且周期性强迫的强度足够高，从而在系统中引起滞后。我们建议，在这两种情况下，动力学的重要组成部分，与天气有关的短期波动都取决于系统的当前气候状态。这导致在动力学中引入状态相关的扩散系数，因为扩散系数代表波动的强度。我们通过分析