Noise-induced escape from the metastable part of a potential is considered on time scales preceding the formation of quasiequilibrium within that part of the potential. It is shown that, counterintuitively, the escape flux may then depend exponentially strongly, and in a complicated manner, on time and friction. (c) 2001 American Institute of Physics.
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http://dx.doi.org/10.1063/1.1378788 | DOI Listing |
Chaos
December 2024
Research Department Complexity Science, Potsdam Institute for Climate Impact Research, Potsdam 14473, Germany.
J Phys Chem Lett
October 2024
Institut Courtois, Université de Montréal, 1375 Avenue Thérèse-Lavoie-Roux, Montréal, Québec H2V 0B3, Canada.
We propose a quantum analogue of the Huygens clock, where the phases of two spins synchronize through their interaction with a shared environment. This environment acts like the escapement mechanism in a mechanical clock, regulating the gear train and allowing discrete timing advances. In our model, the relative phases of the two spins synchronize via a mutually correlated environment.
View Article and Find Full Text PDFZhonghua Lao Dong Wei Sheng Zhi Ye Bing Za Zhi
May 2024
Institute of Occupational and Environmental Health, Twelfth People's Hospital Affiliated to Guangzhou Medical University, Guangzhou 510620, China Key Laboratory of Occupational Environment and Health, Guangzhou Twelfth People's Hospital, Guangzhou 510620, China.
To explore the effect of the absent in melanoma 2 (AIM2) -mediated neuroinflammation in noise-induced cognitive dysfunction in rats. In April 2023, sixteen male Wistar rats were randomly divided into control group and noise group, with 8 rats in each group. The rats in the noise group were placed in 50 cm×50 cm×40 cm transparent boxes and exposed to 100 dB (A) white noise with a sound pressure level of 100 dB (A) (4 h/d for 30 d) .
View Article and Find Full Text PDFSci Rep
May 2024
Department of Complexity Science and Engineering, Graduate School of Frontier Sciences, The University of Tokyo, Chiba, 277-8561, Japan.
Diverse complex systems often undergo sudden changes in their states, such as epileptic seizures, climate changes, and social uprisings. Such behavior has been modeled by noise-induced escape of bistable elements, which is the escape from an attracting state driven by a fluctuation in the system's state. We consider a system of interacting bistable elements and investigate the effect of diffusive coupling among elements on the process of noise-induced escape.
View Article and Find Full Text PDFChaos
December 2023
Department of Mathematics, Imperial College London, London SW7 2AZ, United Kingdom.
We consider transitions to chaos in random dynamical systems induced by an increase in noise amplitude. We show how the emergence of chaos (indicated by a positive Lyapunov exponent) in a logistic map with bounded additive noise can be analyzed in the framework of conditioned random dynamics through expected escape times and conditioned Lyapunov exponents for a compartmental model representing the competition between contracting and expanding behavior. In contrast to the existing literature, our approach does not rely on small noise assumptions, nor does it refer to deterministic paradigms.
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