In this work, we discussed the stochastic thermodynamics of mesoscopic electron transfer reactions between ions and electrodes. With a relationship between the reaction rate con- stant and the electrode potential, we ...In this work, we discussed the stochastic thermodynamics of mesoscopic electron transfer reactions between ions and electrodes. With a relationship between the reaction rate con- stant and the electrode potential, we find that the heat dissipation βq equals to the dynamic irreversibility of the reaction system minus an internal entropy change term. The total en- tropy change Ast is defined as the summation of the system entropy change As and the heat dissipation/βq such that △st=△s＋βq. Even though the heat dissipation depends linearly on the electrode potential, the total entropy change is found to satisfy the fluctuation theo- rem 〈e-△st 〉=1, and hence a second law-like inequality reads （△st）≥0. Our study provides a practical methodology for the stochastic thermodynamics of electrochemical reactions, which may find applications in biochemical and electrochemical reaction systems.展开更多
We introduce a new interpretation of chemical potential and show that holographic entropy is entropybound,which is supported by two ideal cases discussed in detail.One is sparse but incompressible liquid like a star o...We introduce a new interpretation of chemical potential and show that holographic entropy is entropybound,which is supported by two ideal cases discussed in detail.One is sparse but incompressible liquid like a star ofuniform density and the other is a screen at infinity in spherically symmetric spacetime.Our work is based on the newscenario of entropy force and holographic thermodynamics,and the Brown-York quasi-local energy.展开更多
In order to evaluate the safety production situation of the coal mine effectively,selected the indicators about mine production safety, applied entropy method to determinethe objective weight of each index, calculated...In order to evaluate the safety production situation of the coal mine effectively,selected the indicators about mine production safety, applied entropy method to determinethe objective weight of each index, calculated the distance and close degree between themines and the ideal point and negative ideal point, and then evaluated the safety productionsituation of the mines according to the close degree.The results show that the methodprovides a reasonable, concise and more objective idea to evaluate the safety productionsituation of the mines.展开更多
We used panel data for 31 Chinese provinces from 2001 to 2009 and entropy methods to evaluate regional tourism resources endowment.Combined with regional tourism revenue,we constructed an asynchronous index and quanti...We used panel data for 31 Chinese provinces from 2001 to 2009 and entropy methods to evaluate regional tourism resources endowment.Combined with regional tourism revenue,we constructed an asynchronous index and quantitatively evaluated every area＇s asynchronous phenomenon regarding tourism resources.We found that Chinese mainland tourism resources have asynchronous phenomenon： tourism is positively asynchronous in the east（Yangtze River Delta,Pearl River Delta and Beijing-Tianjin region） and negatively asynchronous in central and western China.The total efficiency of tourism resources in eastern China is mainly driven by pure technology efficiency and by scale efficiency in western China.In addition to some provinces,the ranking of provincial total efficiency and the asynchronous index has a strong positive correlation.We conclude with several suggestions for the development of tourism resources across China.展开更多
Using adiabatic invariance and the Bohr-Sommerfeld quantization rule we investigate the entropy spectroscopy of two black holes of heterotic string theory,the charged GMGHS and the rotating Sen solutions.It is shown t...Using adiabatic invariance and the Bohr-Sommerfeld quantization rule we investigate the entropy spectroscopy of two black holes of heterotic string theory,the charged GMGHS and the rotating Sen solutions.It is shown that the entropy spectrum is equally spaced in both cases,identically to the spectrum obtained before for Schwarzschild,Reissner-Nordstr？m and Kerr black holes.Since the adiabatic invariance method does not use quasinormal mode analysis,there is no need to impose the small charge or small angular momentum limits and there is no confusion on whether the real part or the imaginary part of the modes is responsible for the entropy spectrum.展开更多
基金supported by the National Natural Science Foundation of China(No.21403041 and No.21503048)the Startup Packages from Guizhou Education University
文摘In this work, we discussed the stochastic thermodynamics of mesoscopic electron transfer reactions between ions and electrodes. With a relationship between the reaction rate con- stant and the electrode potential, we find that the heat dissipation βq equals to the dynamic irreversibility of the reaction system minus an internal entropy change term. The total en- tropy change Ast is defined as the summation of the system entropy change As and the heat dissipation/βq such that △st=△s＋βq. Even though the heat dissipation depends linearly on the electrode potential, the total entropy change is found to satisfy the fluctuation theo- rem 〈e-△st 〉=1, and hence a second law-like inequality reads （△st）≥0. Our study provides a practical methodology for the stochastic thermodynamics of electrochemical reactions, which may find applications in biochemical and electrochemical reaction systems.
文摘We introduce a new interpretation of chemical potential and show that holographic entropy is entropybound,which is supported by two ideal cases discussed in detail.One is sparse but incompressible liquid like a star ofuniform density and the other is a screen at infinity in spherically symmetric spacetime.Our work is based on the newscenario of entropy force and holographic thermodynamics,and the Brown-York quasi-local energy.
文摘In order to evaluate the safety production situation of the coal mine effectively,selected the indicators about mine production safety, applied entropy method to determinethe objective weight of each index, calculated the distance and close degree between themines and the ideal point and negative ideal point, and then evaluated the safety productionsituation of the mines according to the close degree.The results show that the methodprovides a reasonable, concise and more objective idea to evaluate the safety productionsituation of the mines.
基金National Natural Science Foundation of China(4127114941301145)+1 种基金a project funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions(PAPD)Youth Foundation of Humanities and Social Science of Education Ministry(12YJC790175)
文摘We used panel data for 31 Chinese provinces from 2001 to 2009 and entropy methods to evaluate regional tourism resources endowment.Combined with regional tourism revenue,we constructed an asynchronous index and quantitatively evaluated every area＇s asynchronous phenomenon regarding tourism resources.We found that Chinese mainland tourism resources have asynchronous phenomenon： tourism is positively asynchronous in the east（Yangtze River Delta,Pearl River Delta and Beijing-Tianjin region） and negatively asynchronous in central and western China.The total efficiency of tourism resources in eastern China is mainly driven by pure technology efficiency and by scale efficiency in western China.In addition to some provinces,the ranking of provincial total efficiency and the asynchronous index has a strong positive correlation.We conclude with several suggestions for the development of tourism resources across China.
基金Supported by the Universidad Nacional de Colombia. Hermes Project Code 13038
文摘Using adiabatic invariance and the Bohr-Sommerfeld quantization rule we investigate the entropy spectroscopy of two black holes of heterotic string theory,the charged GMGHS and the rotating Sen solutions.It is shown that the entropy spectrum is equally spaced in both cases,identically to the spectrum obtained before for Schwarzschild,Reissner-Nordstr？m and Kerr black holes.Since the adiabatic invariance method does not use quasinormal mode analysis,there is no need to impose the small charge or small angular momentum limits and there is no confusion on whether the real part or the imaginary part of the modes is responsible for the entropy spectrum.
