Soliton propagation, collision, and reflection at a sheath in a positive ion–negative ion plasma

Cooney, J.; Gavin, Matthew T.; Williams, J. E.; Aossey, David W.; Lonngren, Karl E.

doi:10.1063/1.859759

Cited by 72 publications

(45 citation statements)

References 32 publications

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“…For example, we obtained that the phase velocity and amplitude of the reflected soliton are always less than those of the incident one. This is consistent with the results of Cooney et al 20 Another result that the fast mode velocity and the amplitude of incident soliton increase with the negative ion density is similar to the one obtained by them in different experiment. 17 In order to make a further comparison we have plotted in Fig.…”

Section: Comparison With Experimental Resultssupporting

confidence: 93%

“…In addition to the soliton reflection in ordinary plasmas, the propagation of ion acoustic solitons [16][17][18][19] and their reflection [20][21][22][23] in an unmagnetized inhomogeneous plasma having both the positive and negative ions has been reported. For studying the soliton reflection problem theoretically, modified KdV equations for incident and reflected solitons were derived using the reductive perturbation analysis and then solved after their coupling.…”

Section: Introductionmentioning

confidence: 99%

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Soliton reflection in a negative ion containing plasma: Effect of magnetic field and ion temperature

Singh

Malik

2006

Physics of Plasmas

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Considering an inhomogeneous plasma having negative ions, positive ions, and electrons, relevant modified Korteweg-de Vries equations are derived and solved for obtaining the expressions of amplitudes and widths of the incident and reflected solitons together with the reflection coefficient under the combined effect of magnetic field, obliqueness (angle θ between the magnetic field and the direction of wave propagation) and ion temperature. A limit is found on the obliqueness θ for the reflection of incident soliton, which shows a dependence on the density, temperature, and drift velocity of both the ions. The incident solitons are observed to reflect more strongly under the effects of weak magnetic field, higher negative ion density, higher ion temperature, stronger density gradient and smaller angle θ. It is inferred that whereas the incident solitons show faster change in their characteristics with the ion density, the reflected solitons are more sensitive to the ion temperature.

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Section: Comparison With Experimental Resultssupporting

confidence: 93%

Section: Introductionmentioning

confidence: 99%

Soliton reflection in a negative ion containing plasma: Effect of magnetic field and ion temperature

Singh

Malik

2006

Physics of Plasmas

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“…This case occurs also in the collision of two KdV solitons. Cooney et al [40] studied the overtaking collision, to verify the KdV soliton nature of an observed signal in the plasma experiment.…”

Section: Mechanism and Rules Of Collision Of The Microscopic Particlementioning

confidence: 94%

Features and states of microscopic particles in nonlinear quantum-mechanics systems

Pang

2008

Front. Phys. China

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In this paper, we present the elementary principles of nonlinear quantum mechanics (NLQM), which is based on some problems in quantum mechanics. We investigate in detail the motion laws and some main properties of microscopic particles in nonlinear quantum systems using these elementary principles. Concretely speaking, we study in this paper the wave-particle duality of the solution of the nonlinear Schrödinger equation, the stability of microscopic particles described by NLQM, invariances and conservation laws of motion of particles, the Hamiltonian principle of particle motion and corresponding Lagrangian and Hamilton equations, the classical rule of microscopic particle motion, the mechanism and rules of particle collision, the features of reflection and the transmission of particles at interfaces, and the uncertainty relation of particle motion as well as the eigenvalue and eigenequations of particles, and so on. We obtained the invariance and conservation laws of mass, energy and momentum and angular momentum for the microscopic particles, which are also some elementary and universal laws of matter in the NLQM and give further the methods and ways of solving the above questions. We also find that the laws of motion of microscopic particles in such a case are completely different from that in the linear quantum mechanics (LQM). They have a lot of new properties; for example, the particles possess the real wave-corpuscle duality, obey the classical rule of motion and conservation laws of energy, momentum and mass, satisfy minimum uncertainty relation, can be localized due to the nonlinear interaction, and its position and momentum can also be determined, etc. From these studies, we see clearly that rules and features of microscopic particle motion in NLQM is different from that in LQM. Therefore, the NLQM is a new physical theory, and a necessary result of the development of quantum mechanics and has a correct representation of describing microscopic particles in nonlinear systems, which can solve problems disputed for about a century by scientists in the LQM field. Hence, the NLQM built is very necessary and correct. The NLQM established can promote the development of physics and can enhance and raise the knowledge and recognition levels to the essences of microscopic matter. We can predict that nonlinear quantum mechanics has extensive applications in physics, chemistry, biology and polymers, etc. 02 .60.Cb, As is known, the quantum mechanics established by several great scientists such as Bohr, Born, Schrödinger and Heisenberg, etc., in the early 1900s [1 − 6] is the science describing the properties and rules of motion of microscopic particles (MIP). It is a foundation of modern science, in which the state of microscopic particles is described by the Schrödinger equation: PACS numberswhere 2 ∇ 2 /2m is the kinetic energy operator, V (r, t) is

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“…[9][10][11][12][13][14][15][16][17][18][19][20][21][22] Linear ion acoustic waves were reflected from a positively biased solid metallic plate. 9 KdV solitons were reflected from a negatively biased metal plate.…”

Section: Introductionmentioning

confidence: 99%

Reflection of modified Korteweg–de Vries solitons in a negative ion plasma

Cooney

Kim

et al. 1996

Physics of Plasmas

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Reflection of modified Korteweg–de Vries solitons from the sheath in front of a negatively biased metal disk is experimentally investigated in a negative ion plasma. Both rarefactive and compressive solitons are reflected and the polarity of the reflected solitons is the same as that of the incident solitons. The points of reflection for the rarefactive and compressive solitons are at different locations. As the magnitude of the negative bias potential that is applied to the reflector is increased, the two reflection points move away from the reflector. An interpretation in terms of the sheath characteristics is presented.

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Soliton propagation, collision, and reflection at a sheath in a positive ion–negative ion plasma

Cited by 72 publications

References 32 publications

Soliton reflection in a negative ion containing plasma: Effect of magnetic field and ion temperature

Soliton reflection in a negative ion containing plasma: Effect of magnetic field and ion temperature

Features and states of microscopic particles in nonlinear quantum-mechanics systems

Reflection of modified Korteweg–de Vries solitons in a negative ion plasma

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