Trapping of Electrons in Large-Amplitude Electrostatic Fields Resulting from Beam-Plasma Interaction

Spin fluctuations on the verge of a ferromagnetic quantum phase transition in Ni3Al1−xGaYang1, Chen2, Ohta3 et al. 2011Phys. Rev. B

“…Murata and Doniach suggested that the fourthorder term of the Landau expansion of the free energy in terms of uniform magnetization contains the mode-mode coupling term. 28 Generally, the mode-mode coupling in the model referred to by the authors is temperature dependent due to thermal excitation of spin fluctuations, but the effective coupling constant is independent of T and q vector. The mode-mode coupling is invariable as described in terms of the coefficient of the fourth-order termF 10 .…”

Decay instability of ion-acoustic wave train (or soliton) and formation of the shock profile

“…where k is the wave number of the initial wave, Vph is the phase velocity of initial wave, V 0 is the particles velocity, the particles are not trapped into the potential well (a detailed presentation of this topic can be found, for instance, in [9][10][11] …”

Trapping of electrons in troughs of self generated electromagnetic standing waves in a bounded plasma column

“…[1][2][3][4][5][6][7] However, the physics is largely unexplored when a bounded supercritical plasma (x p > x) interacts with an external electromagnetic wave which itself is responsible for the genesis of the plasma. [8][9][10][11][12] The wave usually passes through the medium only when it is in the subcritical regime (x p < x).…”

“…[1][2][3] Wakeren et al studied the trapping of beam electrons in potential well of electrostatic waves resulting from beam-plasma interaction. 1 Franklin et al investigated interaction of plasma electrons trapped in large amplitude electrostatic waves. 2 In another work, Danielson et al investigated oscillations with standing plasma waves in a trapped pure electron plasma.…”