The free-surface Green function method is widely used in solving the radiation or diffraction problems caused by a ship or ocean structure oscillating on the waves. In the context of inviscid potential flow, hydrodyna...The free-surface Green function method is widely used in solving the radiation or diffraction problems caused by a ship or ocean structure oscillating on the waves. In the context of inviscid potential flow, hydrodynamic problems such as multi-body interaction and tank side wall effect cannot be properly dealt with based on the traditional free-surface frequency domain Green function method, in which the water viscosity is omitted and the energy dissipation effect is absent. In this paper, an open-sea Green function with viscous dissipation was presented within the theory of visco-potential flow. Then the tank Green function with a partial reflection from the side walls in wave tanks was formulated as a formal sum of open-sea Green functions representing the infinite images between two parallel side walls of the source in the tank. The new far-field characteristics of the tank Green function is vitally important for improving the validity of side-wall effects evaluation, which can be used in supervising the tank model tests.展开更多
Through the Jordan-Wigner transformation,the entanglement entropy and ground state phase diagrams of exactly solvable spin model with alternating and multiple spin exchange interactions are investigated by means of Gr...Through the Jordan-Wigner transformation,the entanglement entropy and ground state phase diagrams of exactly solvable spin model with alternating and multiple spin exchange interactions are investigated by means of Green's function theory.In the absence of four-spin interactions,the ground state presents plentiful quantum phases due to the multiple spin interactions and magnetic fields.It is shown that the two-site entanglement entropy is a good indicator of quantum phase transition (QPT).In addition,the alternating interactions can destroy the magnetization plateau and wash out the spin-gap of low-lying excitations.However,in the presence of four-spin interactions,apart from the second order QPTs,the system manifests the first order QPT at the tricritical point and an additional new phase called "spin waves",which is due to the collapse of the continuous tower-like low-lying excitations modulated by the four-spin interactions for large three-spin couplings.展开更多
基金Supported by NSFC Project(51009037)"111"Program(B07019)
文摘The free-surface Green function method is widely used in solving the radiation or diffraction problems caused by a ship or ocean structure oscillating on the waves. In the context of inviscid potential flow, hydrodynamic problems such as multi-body interaction and tank side wall effect cannot be properly dealt with based on the traditional free-surface frequency domain Green function method, in which the water viscosity is omitted and the energy dissipation effect is absent. In this paper, an open-sea Green function with viscous dissipation was presented within the theory of visco-potential flow. Then the tank Green function with a partial reflection from the side walls in wave tanks was formulated as a formal sum of open-sea Green functions representing the infinite images between two parallel side walls of the source in the tank. The new far-field characteristics of the tank Green function is vitally important for improving the validity of side-wall effects evaluation, which can be used in supervising the tank model tests.
基金Supported by the National Natural Science Foundation of China under Grant No. 10974058the Guangdong Natural Science Foundation under Grant No. 9451063101002088+1 种基金the Shanghai Natural Science Foundation of China under Grant No. 09ZR1421400Science and Technology Program of Shanghai Maritime University under Contract No. 2008475
基金Supported by the National Natural Science Foundation of China under Grant Nos.10774051 and 10804034the National 973 Project under Grant No.2006CB921605+1 种基金the Research Fund for the Doctoral Program of Higher Education under Grant No.20090142110063the National Science Foundation of Hubei Province of China under Grant No.2008CDB003
文摘Through the Jordan-Wigner transformation,the entanglement entropy and ground state phase diagrams of exactly solvable spin model with alternating and multiple spin exchange interactions are investigated by means of Green's function theory.In the absence of four-spin interactions,the ground state presents plentiful quantum phases due to the multiple spin interactions and magnetic fields.It is shown that the two-site entanglement entropy is a good indicator of quantum phase transition (QPT).In addition,the alternating interactions can destroy the magnetization plateau and wash out the spin-gap of low-lying excitations.However,in the presence of four-spin interactions,apart from the second order QPTs,the system manifests the first order QPT at the tricritical point and an additional new phase called "spin waves",which is due to the collapse of the continuous tower-like low-lying excitations modulated by the four-spin interactions for large three-spin couplings.
