Transport properties of LaFeO3 in the temperature range of 2 K 〈 T 〈 300 K have been explored for the first time using interaction potential developed by the author and found that our computed results on transport p...Transport properties of LaFeO3 in the temperature range of 2 K 〈 T 〈 300 K have been explored for the first time using interaction potential developed by the author and found that our computed results on transport properties follow the same trend as that of available experimental values. These are scientifically and technologically important materials with orthorhombic perovskite-like structure and space group Pbnm. Lanthanum ferrite, LaFeO3 is semiconducting and antiferrom agnetically ordered at zero. The thermodynamics of perovskite-type or related materials of potential use in, e.g., solid oxide fuel cells have been studied to a rather limited extent only.展开更多
In this article, a sublinear expectation induced by G-expectation is introduced, which is called G- evaluation for convenience. As an application, we prove that for any ξ∈ L β G (Ω T ) with some β > 1 the mart...In this article, a sublinear expectation induced by G-expectation is introduced, which is called G- evaluation for convenience. As an application, we prove that for any ξ∈ L β G (Ω T ) with some β > 1 the martingale decomposition theorem under G-expectaion holds, and that any β > 1 integrable symmetric G-martingale can be represented as an Ito integral w.r.t. G-Brownian motion. As a byproduct, we prove a regularity property for G-martingales: Any G-martingale {M t } has a quasi-continuous version.展开更多
文摘Transport properties of LaFeO3 in the temperature range of 2 K 〈 T 〈 300 K have been explored for the first time using interaction potential developed by the author and found that our computed results on transport properties follow the same trend as that of available experimental values. These are scientifically and technologically important materials with orthorhombic perovskite-like structure and space group Pbnm. Lanthanum ferrite, LaFeO3 is semiconducting and antiferrom agnetically ordered at zero. The thermodynamics of perovskite-type or related materials of potential use in, e.g., solid oxide fuel cells have been studied to a rather limited extent only.
基金supported by National Basic Research Program of China (973 Program) (Grant No. 2007CB814902)
文摘In this article, a sublinear expectation induced by G-expectation is introduced, which is called G- evaluation for convenience. As an application, we prove that for any ξ∈ L β G (Ω T ) with some β > 1 the martingale decomposition theorem under G-expectaion holds, and that any β > 1 integrable symmetric G-martingale can be represented as an Ito integral w.r.t. G-Brownian motion. As a byproduct, we prove a regularity property for G-martingales: Any G-martingale {M t } has a quasi-continuous version.
