A generalized threshold voltage model based on two-dimensional Poisson analysis has been developed for SOI/SON MOSFETs.Different short channel field effects,such as fringing fields,junction-induced lateral fields and ...A generalized threshold voltage model based on two-dimensional Poisson analysis has been developed for SOI/SON MOSFETs.Different short channel field effects,such as fringing fields,junction-induced lateral fields and substrate fields,are carefully investigated,and the related drain-induced barrier-lowering effects are incorporated in the analytical threshold voltage model.Through analytical model-based simulation,the threshold voltage roll-off and subthreshold slope for both structures are compared for different operational and structural parameter variations.Results of analytical simulation are compared with the results of the ATLAS 2D physics-based simulator for verification of the analytical model.The performance of an SON MOSFET is found to be significantly different from a conventional SOI MOSFET.The short channel effects are found to be reduced in an SON,thereby resulting in a lower threshold voltage roll-off and a smaller subthreshold slope.This type of analysis is quite useful to figure out the performance improvement of SON over SOI structures for next generation short channel MOS devices.展开更多
Through the study on data of analytic tree, the fitting empirical equation for tree growth was obtained, i.e. , the function with increment as variable and annual precipitation as the independent variable. The thresho...Through the study on data of analytic tree, the fitting empirical equation for tree growth was obtained, i.e. , the function with increment as variable and annual precipitation as the independent variable. The threshold value of annual precipitation for tree growth was obtained through mathematical operation including derivation. It was concluded that Larix gmelinii grows the fast under the annual precipitation of about 545.1 mm, and negative growth would occur if the annual precipitation is lower than 349 mm and higher than 1 132.8 mm. Furthermore, the application value, research direction and matters needing attention were pointed out.展开更多
For 2 〈 y 〈 min{4, n}, we consider the focusing Hartree equation iut ＋ Au ＋ （｜x｜^-γ ＊ ｜u｜2）u = O, x∈ R^n Let M[u] and E[u] denote the mass and energy, respectively, of a solution u, and Q be the ground st...For 2 〈 y 〈 min{4, n}, we consider the focusing Hartree equation iut ＋ Au ＋ （｜x｜^-γ ＊ ｜u｜2）u = O, x∈ R^n Let M[u] and E[u] denote the mass and energy, respectively, of a solution u, and Q be the ground state of - △ ＋ Q = （｜x｜^-γ ＊ ｜Q｜^2）Q. Guo and Wang [Z. Angew. Math. Phy.,2014] established a dichotomy for scattering versus blow-up for the Cauchy problem of （0,1） if M[u]^l-ScE[u]^Sc 〈 M[Q] ^1-sc E[Q] ^（sc= r-2/2）. In this paper, we consider the complementary case M[u]^1-ScE[u]^sc 〉_ M[Q]^1-sc and obtain a criteria on blow-up and global existence for the Hartree equation （0.1）.展开更多
The flowing mechanism of a low permeability gas reservoir is different from a conventional gas reservoir,especially for that with higher irreducible water saturation the threshold pressure gradient exists. At present,...The flowing mechanism of a low permeability gas reservoir is different from a conventional gas reservoir,especially for that with higher irreducible water saturation the threshold pressure gradient exists. At present,in all the deliverability equation,the additional pressure drop caused by the threshold pressure gradient is viewed as constant,but this method has big error in the practical application. Based on the non-Darcy steady flow equation,the limited integral of the additional pressure drop is solved in this paper and it is realized that the additional pressure drop is not a constant but has something to do with production data,and a new deliverability equation is derived,with the relevant processing method for modified isochronal test data. The new deliverability equation turns out to be practical through onsite application.展开更多
文摘A generalized threshold voltage model based on two-dimensional Poisson analysis has been developed for SOI/SON MOSFETs.Different short channel field effects,such as fringing fields,junction-induced lateral fields and substrate fields,are carefully investigated,and the related drain-induced barrier-lowering effects are incorporated in the analytical threshold voltage model.Through analytical model-based simulation,the threshold voltage roll-off and subthreshold slope for both structures are compared for different operational and structural parameter variations.Results of analytical simulation are compared with the results of the ATLAS 2D physics-based simulator for verification of the analytical model.The performance of an SON MOSFET is found to be significantly different from a conventional SOI MOSFET.The short channel effects are found to be reduced in an SON,thereby resulting in a lower threshold voltage roll-off and a smaller subthreshold slope.This type of analysis is quite useful to figure out the performance improvement of SON over SOI structures for next generation short channel MOS devices.
文摘Through the study on data of analytic tree, the fitting empirical equation for tree growth was obtained, i.e. , the function with increment as variable and annual precipitation as the independent variable. The threshold value of annual precipitation for tree growth was obtained through mathematical operation including derivation. It was concluded that Larix gmelinii grows the fast under the annual precipitation of about 545.1 mm, and negative growth would occur if the annual precipitation is lower than 349 mm and higher than 1 132.8 mm. Furthermore, the application value, research direction and matters needing attention were pointed out.
基金supported by the National Natural Science Foundation of China(11371267)Sichuan Province Science Foundation for Youths(2012JQ0011)
文摘For 2 〈 y 〈 min{4, n}, we consider the focusing Hartree equation iut ＋ Au ＋ （｜x｜^-γ ＊ ｜u｜2）u = O, x∈ R^n Let M[u] and E[u] denote the mass and energy, respectively, of a solution u, and Q be the ground state of - △ ＋ Q = （｜x｜^-γ ＊ ｜Q｜^2）Q. Guo and Wang [Z. Angew. Math. Phy.,2014] established a dichotomy for scattering versus blow-up for the Cauchy problem of （0,1） if M[u]^l-ScE[u]^Sc 〈 M[Q] ^1-sc E[Q] ^（sc= r-2/2）. In this paper, we consider the complementary case M[u]^1-ScE[u]^sc 〉_ M[Q]^1-sc and obtain a criteria on blow-up and global existence for the Hartree equation （0.1）.
基金National Basic Research Program of China(2007CB209506)
文摘The flowing mechanism of a low permeability gas reservoir is different from a conventional gas reservoir,especially for that with higher irreducible water saturation the threshold pressure gradient exists. At present,in all the deliverability equation,the additional pressure drop caused by the threshold pressure gradient is viewed as constant,but this method has big error in the practical application. Based on the non-Darcy steady flow equation,the limited integral of the additional pressure drop is solved in this paper and it is realized that the additional pressure drop is not a constant but has something to do with production data,and a new deliverability equation is derived,with the relevant processing method for modified isochronal test data. The new deliverability equation turns out to be practical through onsite application.
