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The basic theory of symplectic algorithm was introduced. A comparison between Runge-Kutta method and symplectic integration method was preformed in the simulation of the long time behavior of H + H2 system on BKMP potential energy surface. Our results reveal a dis-sipative behavior in the integral of ordinary differential equation by the fourth order Runge-Kutta method, which causes incorrect simulation results in QCT calculations. However, when the symplectic integration method is applied, the dissipative behavior is not found in the same system. When the initial state is the same, the energy deviation of fourth order symplectic integral method is almost one percent of that of fourth order Runge-Kutta method in a 60000-step simulation, and that of sixth order symplectic integral method is much less. These results show that the symplectic integral methods are always the better choice in the integral calculation of the long time behavior in maintaining energy conservation. 相似文献
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通过优化设计矩形波导谐振腔微波化学反应器,可以大幅提高微波等离子体下甲烷转化率(最高为93.7%)、C2烃收率(最高为91.0%)和乙炔收率(最高为88.6%).且优化后,在实验的压强范围内,甲烷转化率和C2烃收率较为稳定,C2烃主要是乙炔,其选择性都在90%以上.生成乙炔的能量产率和时空产率也都比较高.利用发射光谱法对微波等离子体下甲烷偶联制乙炔的反应进行了诊断研究,在300nm~750nm波长范围内激发态物种有:CH,C2,H2,Hα-根据反应产物和激发态物种从化学反应热力学和动力学上对反应机理进行了初步探索. 相似文献
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采用辛算法模拟了H + H2在BKMP势能面上的长时间动力学行为, 并和Runge-Kutta方法计算的结果进行了比较.结果表明,采用Runge-Kutta方法模拟长时动力学行为时体系中出现动力学耗散行为,导致无法真实的模拟体系的物理实际;而采用辛算法模拟精确度更高,四阶辛算法误差只有Runge-Kutta法的约百分之一,六阶辛算法的误差则更小,体系中也未见动力学耗散行为.这些结果说明,在进行长时动力学行为模拟的时候,在保持体系能量守恒性上,辛算法应当是一种更好的积分方法. 相似文献
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An alternative extension to the Gaussian-beam expansion technique is presented for efficient computation of the Fresnel field integral for elliptically symmetric sources. With a known result that the circ function is approximately decomposed into a sum of Gaussian functions, the cosine function is similarly expanded by the Bessel-Fourier transform. Two expansions are together inserted into this integral, it is then expressible in terms of the simple algebraic functions. The numerical examples for the elliptical and uniform piston transducers are presented, in good agreement with the results given by other methods. The approach is applicable to treat the field radiation problem for a large and important group of piston sources in acoustics. 相似文献
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The calculation of H + H2 system by symplectic quasiclassical trajectory (SQCT) shows that there are two types of collision trajectories A and B, i.e., type A trajectory passes the saddle point of transition state (TS), whereas type B trajectory does not pass the saddle point of transition state. Not all the reactants of type A trajectory are reactive, while not all of type B trajectory are nonreactive. The partition and reactivity of these two types of trajectories are affected by reactant state(R), furthermore, the types of trajectories affect the state and angle distributions of products. Not only the rudiment framework for theoretical study on state(R)-state(TS)-state(P) is established, but also the further understanding of transition state theory (TST) of Eyring is investigated in this paper. 相似文献
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