We study the P V critical behavior of a four-dimensional AdS black hole in an Einstein Maxwell gravity with a conformal anomaly by treating the cosmological constant as a variable that is related to the thermodynamic ...We study the P V critical behavior of a four-dimensional AdS black hole in an Einstein Maxwell gravity with a conformal anomaly by treating the cosmological constant as a variable that is related to the thermodynamic pressure, It is shown that there will be no phase transition if k = 0 or -1 are taken. When the charge ql of the conformal field and the coefficient α satisfy a certain relation, the van de Waals like phase transition for the spherical black hole can occur where the temperature is lower than the small critical temperature or higher than the large one. We also evaluate the critical exponents of the phase transitions and find that the thermodynamic exponents associated with this four-dimensional AdS black hole coincide with those of the van de Waals fluid.展开更多
In a deep well,under high pressure and temperature,the force,deformation,and movement of the downhole string are very complicated. In this paper,based on the analysis of the working environment and load properties of ...In a deep well,under high pressure and temperature,the force,deformation,and movement of the downhole string are very complicated. In this paper,based on the analysis of the working environment and load properties of the down-hole string in deep wells,the factors of high temperature,high pressure,and the complex structure of wells have been taken into consideration. The loads of the down-hole string,stability,back buckle configuration,dynamic characteristics,mechanical strength,and deformation have been systematically studied. On this basis,mechanical models of a down-hole string under different conditions have been established and software for aiding analysis has been developed. By using this software,deep well strings under different construction parameters can be simulated and analyzed,providing a theoretical basis and method for down-hole string assembly,as well as string down-hole construction and operation.展开更多
基金Supported by the National Natural Science Foundation of China under Grant Nos 11275099 and 11475135
文摘We study the P V critical behavior of a four-dimensional AdS black hole in an Einstein Maxwell gravity with a conformal anomaly by treating the cosmological constant as a variable that is related to the thermodynamic pressure, It is shown that there will be no phase transition if k = 0 or -1 are taken. When the charge ql of the conformal field and the coefficient α satisfy a certain relation, the van de Waals like phase transition for the spherical black hole can occur where the temperature is lower than the small critical temperature or higher than the large one. We also evaluate the critical exponents of the phase transitions and find that the thermodynamic exponents associated with this four-dimensional AdS black hole coincide with those of the van de Waals fluid.
基金The National Natural Science Foundation of China (Nos. 50874096 and 50474040)
文摘In a deep well,under high pressure and temperature,the force,deformation,and movement of the downhole string are very complicated. In this paper,based on the analysis of the working environment and load properties of the down-hole string in deep wells,the factors of high temperature,high pressure,and the complex structure of wells have been taken into consideration. The loads of the down-hole string,stability,back buckle configuration,dynamic characteristics,mechanical strength,and deformation have been systematically studied. On this basis,mechanical models of a down-hole string under different conditions have been established and software for aiding analysis has been developed. By using this software,deep well strings under different construction parameters can be simulated and analyzed,providing a theoretical basis and method for down-hole string assembly,as well as string down-hole construction and operation.
基金National Natural Science Foundation of China (11572001,51478004)2021 Undergraduate Course Ldeological and Political Demonstration Course-Theoretical Mechanics (108051360022XN569)2022 Great Innovation Project-Frame Bridge Structural Engineering Research (108051360022XN388)。