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slowing down critical transitions via Gaussian white noise and periodic force

Science China(Technological Sciences) 2019年第12期62卷 2144-2152页

作者： MA JinZhong XU Yong XU Wei LI YongGe KURTHS Jirge Department of Applied Mathematics Northwestern Polytechnical UniversityXi'an 710072China MIIT Key Laboratory of Dynamics and Control of Complex Systems Northwestern Polytechnical UniversiyXi'an 710072China Center for Mathematical Sciences&School of Mathematics and Statistics Huazhong University of Science and TechmologyWuhan 430074China Potsdam Institute for Climate Impact Research Potsdam 14412Germany Department of Physics Humboldt UniversityBerlin 12489Germany

Stochastic perturbations and periodic excitations are generally regarded as sources to induce critical transitions in complex systems. However, we find that they are also able to slow down an imminent critical transition. To illustrate this phenomenon, a periodically driven bistable eutrophication model with Gaussian white noise is introduced as a prototype class of real *** residence probability(RP) is presented to measure the possibility that the given system stays in the oligotrophic state versus Gaussian white noise and periodic force. Variations in the mean first passage time(MFPT) and the mean velocity(MV) of the first right-crossing process are also calculated respectively. We show that the frequency of the periodic force can increase the MFPT while reduce the MV under different control parameters. Nevertheless, the noise intensity or the amplitude may result in an increase of the RP only in the case of control parameters approaching the critical values. Furthermore, for an impending critical transition, an increase of the RP appears with the interaction between the amplitude and noise intensity or the combination of the noise intensity and frequency, while the interaction of the frequency and amplitude leads to an extension of the MFPT or a decrease of the MV. As a result, an increase of the RP and MFPT, and a decrease of the MVobtained from our results claim that it is possible to slow down an imminent critical transition via Gaussian white noise and periodic force.

关键词： critical transition slowing down bistable eutrophication model Gaussian white noise periodic force residence probability mean first passage time mean velocity

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Simulating the Dynamics of Bimetallic Clusters Deposited onto a Surface Using Molecular Dynamics

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Journal of Applied Mathematics and Physics 2024年第8期12卷 2820-2828页

作者： Akbarali Rasulov Nodirbek Ibrokhimov Jaxongir Khodjimatov Azamatjon Tukhtasinov Fergana Branch of the Tashkent University of Information Technologies named after Muhammad al-Khwarizmi Fergana Uzbekistan Fergana Polytechnic Institute Fergana Uzbekistan

This paper examines the interface development between a single crystalline Ag matrix and core-shell AgnCom nanoclusters that have been deposited with energies varying between 0.25 eV and 1.5 eV per atom using computer modeling techniques. Clusters undergo deformation as a result of the slowing down;they may also become epitaxial with the substrate and maintain their core-shell structure. A detailed analysis of the effects of the cluster-surface interaction is conducted over a realistic size and energy range, and a model is created to show how clusters accumulate. It is discovered that both the silver shells and the cobalt cluster cores exhibit limited epitaxy with the substrate, and that the contact produced is only a few atomic layers thick. The effect is higher for Ag shells than for Co cores, and it is not very energy dependent.

关键词： Cluster slowing down Low-Energy Molecular Dynamics Metrоpоlis Mоnte Cаrlо Bi-Metallic

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ELECTROMAGNETIC STIRRING IN SLAB CASTER MOLDS BEFORE AND AFTER YEAR 2000

ELECTROMAGNETIC STIRRING IN SLAB CASTER MOLDS BEFORE AND AFT...

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中国金属学会2003中国钢铁年会

作者： Siebo Kunstreich Pierre H.Dauby Danieli Rotelec Bagnolet-ParisFrance Danieli Rotelec Bagnolet-ParisFrance

＜正＞Joint efforts from NKK （now JFE） and Danieli Rotelec have resulted in the development of an impressive technology that intelligently drives liquid steel in the mold and drastically reduces slab and coil defects. The technology applies the most recent knowledge on steel defect analysis, fluid flow mechanics and magneto-hydrodynamic calculations.

关键词： Powder shearing slag melting frozen meniscus slivers pipe pinholes blowholes longitudinal cracks slab application ratio EMLS EMLA EMRS MM EMS electromagnetic stirring slowing down accelerating rotating steel flow pattern single

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