The 150 kV bouncer modulator is designed to drive the 10 MW multi-beam klystron for the DESYTESLA Test Facility. The modulator is different from the 10 kV modulators previously built at Fermilab. First, thenew 150 kV ...The 150 kV bouncer modulator is designed to drive the 10 MW multi-beam klystron for the DESYTESLA Test Facility. The modulator is different from the 10 kV modulators previously built at Fermilab. First, thenew 150 kV bouncer modulator has no transformer, so the modulator circuit is simplified and the output waveform isimproved well. Second, the bouncer circuit has been changed to fit the output need, which is the most significantchallenge. This paper gives the design of the 150 kV long pulse bouncer modulator.展开更多
We show that a direct perturbation theory can be used to give a systematic description of the evolution of breather in perturbed sine-Gordon equation. The error in inverse scattering method is also pointed out and cor...We show that a direct perturbation theory can be used to give a systematic description of the evolution of breather in perturbed sine-Gordon equation. The error in inverse scattering method is also pointed out and corrected to obtain the accurate results.展开更多
Recently, a generalization of Laughlin's wave function expressed in Haldane's spherical geometry is con-structed in 4D quantum Hall effect. In fact, it is a membrane wave function in CP3 space. In this artic...Recently, a generalization of Laughlin's wave function expressed in Haldane's spherical geometry is con-structed in 4D quantum Hall effect. In fact, it is a membrane wave function in CP3 space. In this article, we use non-Abelian Berry phase to anaJyze the statistics of this membrane wave function. Our results show that the membrane wave function obeys fractional statistics. It is the rare example to realize fractional statistics in higher-dimensiona space than 2D. And, it will help to make clear the unresolved problems in 4D quantum Hall effect.展开更多
A new method - perturbative summation to infinite order is presented to obtain the anomalous dimension in the solution of the modified porous medium equation. The result is the same as that in the renormalization grou...A new method - perturbative summation to infinite order is presented to obtain the anomalous dimension in the solution of the modified porous medium equation. The result is the same as that in the renormalization group (RG) approach. It gives us an insight into the anomalous exponent in the asymptotic solution of the modified porous medium equation in the RG approach. Based on this discussion, we can see that the anomalous dimension appears naturally in the problem and the nonlinearity reflects the anomalous long-time behavior of the system.展开更多
We consider a simple collinear collision ofa 'classical' particle with a harmonic oscillator within quantum semiclassical model and full quantum dynamics model, in which the latter is solved analytically in sq...We consider a simple collinear collision ofa 'classical' particle with a harmonic oscillator within quantum semiclassical model and full quantum dynamics model, in which the latter is solved analytically in squeezed state and exact diagonalization methods and acts as the exact solution of such a system. A comparison of these two models for different mass ratios between the 'classical' particle and the quantum particle is done, which gives a criterion when using the quantum-semiclassical model.展开更多
A modified fractal growth model based on the deposition, diffusion, and aggregation (DDA) with cluster rotation is presented to simulate two-dimensional fractal aggregation on liquid surfaces. The mobility (including ...A modified fractal growth model based on the deposition, diffusion, and aggregation (DDA) with cluster rotation is presented to simulate two-dimensional fractal aggregation on liquid surfaces. The mobility (including diffusion, and rotation) of clusters is related to its mass, which is given by D-m = D-0s(-gamma D) and theta(m) = theta(0)s (-gamma theta,) respectively. We concentrate on revealing the details of the influence of deposition flux F, cluster diffusion factor gamma(D) and cluster rotation factor gamma(B) on the dynamics of fractal aggregation on liquid surfaces. It is shown that the morphologies of clusters and values of cluster density and fractal dimension depend dramatically on the deposition flux and migration factors of clusters.展开更多
文摘The 150 kV bouncer modulator is designed to drive the 10 MW multi-beam klystron for the DESYTESLA Test Facility. The modulator is different from the 10 kV modulators previously built at Fermilab. First, thenew 150 kV bouncer modulator has no transformer, so the modulator circuit is simplified and the output waveform isimproved well. Second, the bouncer circuit has been changed to fit the output need, which is the most significantchallenge. This paper gives the design of the 150 kV long pulse bouncer modulator.
文摘We show that a direct perturbation theory can be used to give a systematic description of the evolution of breather in perturbed sine-Gordon equation. The error in inverse scattering method is also pointed out and corrected to obtain the accurate results.
文摘Recently, a generalization of Laughlin's wave function expressed in Haldane's spherical geometry is con-structed in 4D quantum Hall effect. In fact, it is a membrane wave function in CP3 space. In this article, we use non-Abelian Berry phase to anaJyze the statistics of this membrane wave function. Our results show that the membrane wave function obeys fractional statistics. It is the rare example to realize fractional statistics in higher-dimensiona space than 2D. And, it will help to make clear the unresolved problems in 4D quantum Hall effect.
文摘A new method - perturbative summation to infinite order is presented to obtain the anomalous dimension in the solution of the modified porous medium equation. The result is the same as that in the renormalization group (RG) approach. It gives us an insight into the anomalous exponent in the asymptotic solution of the modified porous medium equation in the RG approach. Based on this discussion, we can see that the anomalous dimension appears naturally in the problem and the nonlinearity reflects the anomalous long-time behavior of the system.
文摘We consider a simple collinear collision ofa 'classical' particle with a harmonic oscillator within quantum semiclassical model and full quantum dynamics model, in which the latter is solved analytically in squeezed state and exact diagonalization methods and acts as the exact solution of such a system. A comparison of these two models for different mass ratios between the 'classical' particle and the quantum particle is done, which gives a criterion when using the quantum-semiclassical model.
文摘A modified fractal growth model based on the deposition, diffusion, and aggregation (DDA) with cluster rotation is presented to simulate two-dimensional fractal aggregation on liquid surfaces. The mobility (including diffusion, and rotation) of clusters is related to its mass, which is given by D-m = D-0s(-gamma D) and theta(m) = theta(0)s (-gamma theta,) respectively. We concentrate on revealing the details of the influence of deposition flux F, cluster diffusion factor gamma(D) and cluster rotation factor gamma(B) on the dynamics of fractal aggregation on liquid surfaces. It is shown that the morphologies of clusters and values of cluster density and fractal dimension depend dramatically on the deposition flux and migration factors of clusters.
