Yu-Ren Shi

The effect of dust size distribution for two ion temperature dusty plasmas

Abstract A reasonable normalization for two ion temperature dusty plasmas with many different dust grains is adopted, which varies self-consistently with the system parameters. For this system with N different dust grains, we use the reductive perturbation technique and derive a Korteweg de Vries equation for small, but finite amplitude dust acoustic waves for both discontinuous dust size distribution and continuous power law distribution. We have found that if the dust grain sizes satisfy the power law distribution, the soliton velocity will be larger than that of mono-sized dusty plasmas with average dust size of power law distribution. The amplitude and the width of the soliton existing in the two ion temperature dusty plasmas have been discussed in this paper as well. We also found that if one soliton exists in a dusty plasmas with power law dust size distributions the smaller grains will have larger velocities and propagate longer distances than that of larger grains.

Envelop solitons in dusty plasmas for warm dust

Abstract A nonlinear Schrodinger equation is obtained for the warm dusty plasmas. The modulational instability of envelop soliton is investigated in this paper. Both the temperature of the dust grains and the charge variations of dust grains affect the instability regions of the dusty plasmas. It also affect the amplitude and the width of the envelop soliton.

Interaction of two solitary waves in quantum electron-positron-ion plasma

The collision between two ion-acoustic solitary waves with arbitrary colliding angle θ in an unmagnetized, ultracold quantum three-component e-p-i plasma has been investigated. By using the extended Poincare-Lighthill-Kuo (PLK) perturbation method, we obtain the KdV equations and the analytical phase shifts after the collision of two solitary waves in this three-component plasma. The effects of the quantum parameter H, the ratio of Fermi positron temperature to Fermi electron temperature σ, the ratio of Fermi positron number density to Fermi electron number density μ, and the ratio of Fermi ion temperature to Fermi electron temperature ρ on the phase shifts are studied. It is found that these parameters can significantly influence the phase shifts of the solitons.

The collision effect between dust grains and ions to the dust ion acoustic waves in a dusty plasma

Damping solitary wave in dusty plasma is studied by considering the collision effect between dust grains and ions. It can be described by a KdV type equation in which a damping term of φ2 exist. It is found that both the amplitude and propagation velocity of the solitary wave decrease with time exponentially. Our results are compared with another KdV type equation with the damping term of φ. It is noted that the damping rate of the KdV type equation with the damping term of φ2 is larger than that with the term of φ. It is found that the damping rate is proportional to the collision frequency between dust grains and ions.

Effect of multicomponent dust grains in a cold quantum dusty plasma

By employing the quantum hydrodynamic model for electron—ion—dust plasma, we derive a dispersion relation of the quantum dusty plasma. The effects of the dust size distribution on the dispersion relation in a cold quantum dusty plasma are studied. Both analytical and numerical results are given to compare the differences between the dusty plasma by considering the dust size distribution and the mono-sized dusty plasma. It is shown that many system parameters can significantly influence the dispersion relation of the quantum dusty plasma.

The reflection of soliton at multi-arterial bifurcations and the effect of the arterial inhomogeneity

The magnitude of reflection and transmission at N arterial bifurcations are given. It is known that the maximum reflection will take place when the radii of all the artery bifurcations are same. The inhomogeneity of the artery will change the amplitude of the blood pulse wave which is in good agreement with the numerical results or the experiments.

Interaction for solitary waves in coasting charged particle beams

By using the extended Poincare-Lighthill-Kuo perturbation method, the collision of solitary waves in a coasting charged particle beams is studied. The results show that the system admits a solution with two solitary waves, which move in opposite directions and can be described by two Korteweg-deVries equation in small-amplitude limit. The collision of two solitary waves is elastic, and after the interaction they preserve their original properties. Then the weak phase shift in traveling direction of collision between two solitary waves is derived explicitly.

Response to “Comment on ‘Interaction of two solitary waves in quantum electron-positron-ion plasma’” [Phys. Plasmas 18, 084701 (2011)]

According to the comments of Akbari-Moghanjoughi that the electron-positron-ion(e-p-i) plasmas parameters σ representing the ratio of the positron to electron Fermi-temperature and p standing for the positron to electron number-density ratio are related by the equation of p = σ 3/2. Based on this conclusion, we have replaced the Figs. 1–6 (Ref. 1) in the present paper.

The effects of the ionization, the recombination, and the collision of the ions to the damping solitary waves in a dusty plasma

By considering the ionization and recombination of the ions, as well as the collision between ions and dust grains, we have studied the damping solitary wave solution in a dusty plasma. In this paper, we find that the damping rate of the solitary wave increases as both the mass and the density of the dust grains increase. However, it decreases as the charge of the dust grain increases.