Nonlinear Features of Phonon–Ripplon Modes in the Electron Crystal Over Liquid Helium

Dynamic phase transitions in a two-dimensional electronic crystal and in a two-dimensional helium film

“…The increase of v 2 can be explained by anharmonicities in the electronripplon interaction. 32 It is necessary to note another feature in measurements of nonlinear properties of both a helium film and an electronic crystal. The distribution of the external field (the driving field in the crystal and the field of velocities in the film) is nonuniform over the sample.…”

Resonance clustering in wave turbulent regimes: Integrable dynamics

“…Nonlinear resonances are ubiquitous in physics. They appear in a great amount of typical mechanical systems [13,41], in engineering [8,17,42,57], astronomy [40], biology [15], etc. etc.…”

Low-temperature mobility of surface electrons and ripplon-phonon interaction in liquid helium

“…In addition, the electron effective mass as such increases by two or even three orders of magnitude. In particular, m * /m increases by from 500 to 5000 nearly proportional to the square of the pressing field E ⊥ = 0.57 ÷ 1.672 kV/cm at a constant density n e = 6.3 × 10 8 cm −2 [15] and slightly decreases (from 2000 to 1500) with an increase in density from 5 to 12 × 10 8 cm −2 at a constant pressing field E ⊥ = 1.15 kV/cm [13]. An increase in the effective mass is caused by the fact that the strong field presses electrons into the helium surface, thus forming dimples.…”

“…The electron momentum-relaxation time τ e is related to the SE mobility µ with respect to ripplons as τ e = m * µ/e (see below) and weakly depends on temperature in the range under consideration. According to the experimental data on the electron mobility [12] and effective mass [13]…”