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Typhoon disaster risk zoning for China’s coastal area

Frontiers of Earth Science 2022年第2期16卷 291-303页

作者： Jing ZHU Yi LU Fumin REN John L McBRIDE Longbin YE Xiamen Key Laboratory of Straits Meteorology Xiamen Meteorological BureauXiamen 361012China Shanghai Typhoon Institute of China Meteorological Administration Shanghai 200030China State Key Laboratory of severe weather Chinese Academy of Meteorological SciencesBeijing 10081China School of Earth Science (Honorary)University of MelbourneMelbourne 3010Australia Research and Development Division(Emeritus scientist) Bureau of MeteorologyMelbourne 3010Australia

Previous studies on typhoon disaster risk zoning in China have focused on individual provinces or small-scale areas and lack county-level results.In this study,typhoon disaster risk zoning is conducted for China’s coastal area,based on data at the county level.Using precipitation and wind data for China and typhoon disaster and social data at the county level for China’s coastal area from 2004 to 2013,first we analyze the characteristics of typhoon disasters in China’s coastal area and then develop an intensity index of factors causing typhoon disasters and a comprehensive social vulnerability index.Finally,by combining the two indices,we obtain a comprehensive risk index for typhoon disasters and conduct risk zoning.The results show that the maximum intensity areas are mainly the most coastal areas of both Zhejiang and Guangdong,and parts of Hainan Island,which is similar to the distribution of typhoon disasters.The maximum values of vulnerability in the northwest of Guangxi,parts of Fujian coastal areas and parts of the Shandong Peninsula.The comprehensive risk index generally decreases from coastal areas to inland areas.The high-risk areas are mainly distributed over Hainan Island,south-western Guangdong,most coastal Zhejiang,the coastal areas between Zhejiang and Fujian and parts of the Shandong Peninsula.

关键词： typhoon disaster risk zoning comprehensive social vulnerability index China’s coastal area

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Revisiting the Curie-Von Schweidler Law for Dielectric Relaxation and Derivation of Distribution Function for Relaxation Rates as Zipf’s Power Law and Manifestation of Fractional Differential Equation for Capacitor

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Journal of Modern Physics 2017年第12期8卷 1988-2012页

作者： Shantanu Das scientist-Reactor Control System Design Section(E&I Group)Bhabha Atomic Research Centre(BARC)MumbaiIndia honorary Senior Research Professor Condensed Matter Physics Research Centre(CMPRC)Department of PhysicsJadavpur UniversityKolkataIndia

The classical power law relaxation, i.e. relaxation of current with inverse of power of time for a step-voltage excitation to dielectric—as popularly known as Curie-von Schweidler law is empirically derived and is observed in several relaxation experiments on various dielectrics studies since late 19th Century. This relaxation law is also regarded as “universal-law” for dielectric relaxations;and is also termed as power law. This empirical Curie-von Schewidler relaxation law is then used to derive fractional differential equations describing constituent expression for capacitor. In this paper, we give simple mathematical treatment to derive the distribution of relaxation rates of this Curie-von Schweidler law, and show that the relaxation rate follows Zipf’s power law distribution. We also show the method developed here give Zipfian power law distribution for relaxing time constants. Then we will show however mathematically correct this may be, but physical interpretation from the obtained time constants distribution are contradictory to the Zipfian rate relaxation distribution. In this paper, we develop possible explanation that as to why Zipfian distribution of relaxation rates appears for Curie-von Schweidler Law, and relate this law to time variant rate of relaxation. In this paper, we derive appearance of fractional derivative while using Zipfian power law distribution that gives notion of scale dependent relaxation rate function for Curie-von Schweidler relaxation phenomena. This paper gives analytical approach to get insight of a non-Debye relaxation and gives a new treatment to especially much used empirical Curie-von Schweidler (universal) relaxation law.

关键词： Power Law Relaxation Rate Distribution Fractional Derivative Fractional Integration Curie-Von Schweidler Law Time-Constants Laplace Integral Zipf’s Law Integral Representation Time Dependent Relaxation Rate Scale Dependent Relaxation Rate Non-Debye Relaxation

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