Solitary waves in a long structure of charged particles confined in the linear Paul trap

Wave‐like excitations in the system of a charged long filament interacting with the microparticles in the linear Paul trap

“…As can be seen from the Figure 2, the rotating filament prevents the solitary density waves propagation along the axis of the trap observed in refs [23,24] under sufficiently high trap electrode voltage (5 kV) and concentration of dust particles of order 10 3 cm −3 (see Figure 3a). Particles in the solitary density wave move along a trap axis [23,24] and collectively rotate F I G U R E 3 (a) Running to the right the solitary density wave in the dust Coulomb structure; (b) unperturbed region of the Coulomb structure; 1 and 2 are the electrodes of the trap [23,24] around the axis of symmetry of the trap. When a solitary wave reaches the end of the trap, it is "reflected" and moves in the opposite direction.…”

“…On other hand, the collective motion and solitary density waves in a one‐component Coulomb system of particles (of tens of microns in size) confined in the Paul traps on open air were experimentally and numerically studied in recent works. [ 23,24 ] The results obtained allow identifying the detected density waves as caustics and can be considered as a new experimental support of the wide applicability of the theory of caustics for description of various dynamic collective phenomena. These studies have revealed a number of unexplained problems, such as, for example, the unaltered shape of the density waves during their propagation along the trap or the physical mechanism of the energy transformation of the altering trap electrical field to energy of the wave movement along the axis of the trap.…”

“…(a) Running to the right the solitary density wave in the dust Coulomb structure; (b) unperturbed region of the Coulomb structure; 1 and 2 are the electrodes of the trap [ 23,24 ] …”

“…This analogy explains the propagation and reflection of solitary density waves in Coulomb systems observed in our previous works. [ 23,24 ]…”

“…It was found that solitary waves in the Coulomb structure arise when q x > 2.2. [23,24] Studies of the influence of the length and elastisity properties on the shape and number of nodes of the standing-like wave are in progress.…”