Effect of linear chirp frequency on the process of electron–positron pairs production from vacuum is investigated by the computational quantum field theory.With appropriate chirp parameters,the number of electrons cr...Effect of linear chirp frequency on the process of electron–positron pairs production from vacuum is investigated by the computational quantum field theory.With appropriate chirp parameters,the number of electrons created under combined potential wells can be increased by two or three times.In the low frequency region,frequency modulation excites interference effect and multiphoton processes,which promotes the generation of electron–positron pairs.In the high frequency region,high frequency suppression inhibits the generation of electron–positron pairs.In addition,for a single potential well,the number of created electron–positron pairs can be enhanced by several orders of magnitude in the low frequency region.展开更多
在空间均匀含时的强外场下真空正负电子对产生的研究中,从散射势转变点的角度,严格证明了源于量子Vlasov方程的低密度近似方法(low density approximation,LDA)与半经典的WKB(Wentzel-Kramers-Brillouin)方法等价.通过对典型例子进行数...在空间均匀含时的强外场下真空正负电子对产生的研究中,从散射势转变点的角度,严格证明了源于量子Vlasov方程的低密度近似方法(low density approximation,LDA)与半经典的WKB(Wentzel-Kramers-Brillouin)方法等价.通过对典型例子进行数值计算和说明,对这2种方法的等价性进行了检验.当有较多转变点时,WKB积分变得烦琐,相较而言,LDA更具有计算优势.本研究将量子动力学过程和量子隧穿过程联系起来,有助于深入理解强场下真空中正负电子对的产生过程.展开更多
In this paper, the one-dimensional(1D) particle-in-cell(PIC) simulation is used to study the modulation instability of ion acoustic waves in electron–ion plasmas. The ion acoustic wave is described by using a nonline...In this paper, the one-dimensional(1D) particle-in-cell(PIC) simulation is used to study the modulation instability of ion acoustic waves in electron–ion plasmas. The ion acoustic wave is described by using a nonlinear Schr¨odinger equation(NLSE) derived from the reductive perturbation method. Form our numerical simulations, we are able to demonstrate that,after the modulation, the amplitude increases steadily over time. Furthermore, by comparing the numerical results with traditional analytical solutions, we acquire the application scope for the reductive perturbation method to obtain the NLSE.We also find this method can also be extended to other fields such as fluid dynamics, nonlinear optics, solid state physics,and the Bose–Einstein condensate to validate the application scope of the results from the traditional perturbation method.展开更多
We numerically investigate the nonlinear waves propagating in a one-dimensional particle chain when the damping effect is taken into account. It is found that decaying solitary waves exist, in which the amplitude of t...We numerically investigate the nonlinear waves propagating in a one-dimensional particle chain when the damping effect is taken into account. It is found that decaying solitary waves exist, in which the amplitude of the wave decreases exponentially as time increases. Meanwhile, the velocity of the solitary wave also slows down as time goes. This result implies that the damping coefficient is an important parameter in such a nonlinear system. Theoretical analysis has also been done by the reductive perturbation method. The result indicates that the nonlinear waves propagating in such a system can be described by the damped KdV equation.展开更多
基金Project supported by the National Natural Science Foundation of China (Grant Nos.11635003,11025524,11161130520,11875007,and 12047513)the Reform and Development Project of Beijing Academy of Science and Technology (Grant Nos.13001-2110 and 13001-2114)。
文摘Effect of linear chirp frequency on the process of electron–positron pairs production from vacuum is investigated by the computational quantum field theory.With appropriate chirp parameters,the number of electrons created under combined potential wells can be increased by two or three times.In the low frequency region,frequency modulation excites interference effect and multiphoton processes,which promotes the generation of electron–positron pairs.In the high frequency region,high frequency suppression inhibits the generation of electron–positron pairs.In addition,for a single potential well,the number of created electron–positron pairs can be enhanced by several orders of magnitude in the low frequency region.
文摘在空间均匀含时的强外场下真空正负电子对产生的研究中,从散射势转变点的角度,严格证明了源于量子Vlasov方程的低密度近似方法(low density approximation,LDA)与半经典的WKB(Wentzel-Kramers-Brillouin)方法等价.通过对典型例子进行数值计算和说明,对这2种方法的等价性进行了检验.当有较多转变点时,WKB积分变得烦琐,相较而言,LDA更具有计算优势.本研究将量子动力学过程和量子隧穿过程联系起来,有助于深入理解强场下真空中正负电子对的产生过程.
基金Project supported by the National Natural Science Foundation of China(Grant No.11675014)
文摘In this paper, the one-dimensional(1D) particle-in-cell(PIC) simulation is used to study the modulation instability of ion acoustic waves in electron–ion plasmas. The ion acoustic wave is described by using a nonlinear Schr¨odinger equation(NLSE) derived from the reductive perturbation method. Form our numerical simulations, we are able to demonstrate that,after the modulation, the amplitude increases steadily over time. Furthermore, by comparing the numerical results with traditional analytical solutions, we acquire the application scope for the reductive perturbation method to obtain the NLSE.We also find this method can also be extended to other fields such as fluid dynamics, nonlinear optics, solid state physics,and the Bose–Einstein condensate to validate the application scope of the results from the traditional perturbation method.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11565021 and 11047010)the Scientific Research Foundation of Northwest Normal University,China(Grant No.NWNU-LKQN-16-3)
文摘We numerically investigate the nonlinear waves propagating in a one-dimensional particle chain when the damping effect is taken into account. It is found that decaying solitary waves exist, in which the amplitude of the wave decreases exponentially as time increases. Meanwhile, the velocity of the solitary wave also slows down as time goes. This result implies that the damping coefficient is an important parameter in such a nonlinear system. Theoretical analysis has also been done by the reductive perturbation method. The result indicates that the nonlinear waves propagating in such a system can be described by the damped KdV equation.
