Nuclear double β--decay with two neutrinos is an important decay mode for some unstable nuclei. Based on the available experimental data of nuclear double β--decay, we propose that there is a law between the logarit...Nuclear double β--decay with two neutrinos is an important decay mode for some unstable nuclei. Based on the available experimental data of nuclear double β--decay, we propose that there is a law between the logarithm of double β--decay half-lives and the reciprocal of the decay energy. The physics behind the law is discussed and it is found that this is associated with the universal properties of the weak interaction. This doubleβ--decay law is similar to the famous Geiger-Nuttall law of α-decay. The law is applied to predictions of the nuclear double β--decay half-lives for six even-even nuclei from Z = 84 to Z = 98 and we found that232 Th is very interesting for future experiments. The branching ratios between double β--decay and α-decay are also estimated for the six even-even nuclei and this is useful for future experimental search of new emitters of doubleβ--decay.展开更多
A multi-input multi-output(MIMO) separated two-way relay channel(STWRC) is considered,where two users exchange their messages via a relay node.When each link is quasi-static Rayleigh fading,the achievable diversity-mu...A multi-input multi-output(MIMO) separated two-way relay channel(STWRC) is considered,where two users exchange their messages via a relay node.When each link is quasi-static Rayleigh fading,the achievable diversity-multiplexing tradeoff(DMT) of the half-duplex STWRC is analyzed.Firstly,the achievable DMT of the STWRC with static decode-and-forward(DF) protocol is obtained.Then,a dynamic decode-and-forward(DDF) protocol for the STWRC is proposed,where the relay listening time varies dynamically with the channel qualities of the links between two users and the relay.Finally,the achievable DMT of the proposed DDF protocol is derived in a case-bycase manner.Numerical examples are also provided to verify the theoretical analysis of both protocols.展开更多
This paper derives explicit expressions for the propagation of Gaussian beams carrying two vortices of equal charges m = ±1diffracted at a half-plane screen, which enables the study of the dynamic evolution of vo...This paper derives explicit expressions for the propagation of Gaussian beams carrying two vortices of equal charges m = ±1diffracted at a half-plane screen, which enables the study of the dynamic evolution of vortices in the diffraction field. It shows that there may be no vortices, a pair or several pairs of vortices of opposite charges m -=±, -1 in the diffraction field. Pair creation, annihilation and motion of vortices may appear upon propagation. The off-axis distance additionally affects the evolutionary behaviour. In the process the total topological charge is equal to zero, which is unequal to that of the vortex beam at the source plane. A comparison with the free-space propagation of two vortices of equal charges and a further extension are made.展开更多
在机电耦合系统中,常会附加半自由度的方程。为了求解与这类方程有关的强非线性振动系统,在单自由度复动频率法的基础上引入新的平衡规则,使其可应用于一个半自由度系统,得到Duffing振子强迫振动的渐近解和幅频响应关系。为进一步拓展...在机电耦合系统中,常会附加半自由度的方程。为了求解与这类方程有关的强非线性振动系统,在单自由度复动频率法的基础上引入新的平衡规则,使其可应用于一个半自由度系统,得到Duffing振子强迫振动的渐近解和幅频响应关系。为进一步拓展该方法的使用范围,通过增加新的待定频率和动态频率,使复动频率法可用于分析两自由度强非线性振动系统,据此得到两自由度Duffing‑Van der Pol振子的渐近解。通过与多尺度法、数值解结果对比,证明了使用复动频率法研究多自由度强非线性振动问题的有效性。展开更多
基金Supported by the National Natural Science Foundation of China(Nos.11035001,10975072,11120101005 and 11375086)the Research Fund of Doctoral Point(RFDP)(No.20070284016)the Priority Academic Program Development of Jiangsu Higher Education Institutions
文摘Nuclear double β--decay with two neutrinos is an important decay mode for some unstable nuclei. Based on the available experimental data of nuclear double β--decay, we propose that there is a law between the logarithm of double β--decay half-lives and the reciprocal of the decay energy. The physics behind the law is discussed and it is found that this is associated with the universal properties of the weak interaction. This doubleβ--decay law is similar to the famous Geiger-Nuttall law of α-decay. The law is applied to predictions of the nuclear double β--decay half-lives for six even-even nuclei from Z = 84 to Z = 98 and we found that232 Th is very interesting for future experiments. The branching ratios between double β--decay and α-decay are also estimated for the six even-even nuclei and this is useful for future experimental search of new emitters of doubleβ--decay.
基金Supported by the National Basic Research Program of China(No.2012CB316100)National Natural Science Foundation of China(No.61072064,61301177)
文摘A multi-input multi-output(MIMO) separated two-way relay channel(STWRC) is considered,where two users exchange their messages via a relay node.When each link is quasi-static Rayleigh fading,the achievable diversity-multiplexing tradeoff(DMT) of the half-duplex STWRC is analyzed.Firstly,the achievable DMT of the STWRC with static decode-and-forward(DF) protocol is obtained.Then,a dynamic decode-and-forward(DDF) protocol for the STWRC is proposed,where the relay listening time varies dynamically with the channel qualities of the links between two users and the relay.Finally,the achievable DMT of the proposed DDF protocol is derived in a case-bycase manner.Numerical examples are also provided to verify the theoretical analysis of both protocols.
基金supported by the National Natural Science Foundation of China (Grant No. 10874125)the Foundation of Education Department of Sichuan Province of China (Grant No. 10ZA063)
文摘This paper derives explicit expressions for the propagation of Gaussian beams carrying two vortices of equal charges m = ±1diffracted at a half-plane screen, which enables the study of the dynamic evolution of vortices in the diffraction field. It shows that there may be no vortices, a pair or several pairs of vortices of opposite charges m -=±, -1 in the diffraction field. Pair creation, annihilation and motion of vortices may appear upon propagation. The off-axis distance additionally affects the evolutionary behaviour. In the process the total topological charge is equal to zero, which is unequal to that of the vortex beam at the source plane. A comparison with the free-space propagation of two vortices of equal charges and a further extension are made.
文摘在机电耦合系统中,常会附加半自由度的方程。为了求解与这类方程有关的强非线性振动系统,在单自由度复动频率法的基础上引入新的平衡规则,使其可应用于一个半自由度系统,得到Duffing振子强迫振动的渐近解和幅频响应关系。为进一步拓展该方法的使用范围,通过增加新的待定频率和动态频率,使复动频率法可用于分析两自由度强非线性振动系统,据此得到两自由度Duffing‑Van der Pol振子的渐近解。通过与多尺度法、数值解结果对比,证明了使用复动频率法研究多自由度强非线性振动问题的有效性。
