Slip in Quantum Fluids

Possible Critical Orientations of Interacting Composite Particles

“…[15]) is classified as a localized state (resonance occurs) based on the acoustical analog [15][16][17]. The state of decreasing h might, in one case [27], correspond to that of T (absolute temperature) decreasing as the mean free path is increasing (density or pressure decreasing).…”

“…1 (for different Bs: B = −0.98, −0.9, −0.1, 0, 0.1, 1). Here, the Knudsen number (K n ) ∝ MFP/λ s with MFP and λ s being the mean free path and wave length, respectively and the temperature vs. MFP relations could be, in one case, traced from Einzel and Parpia [27] (following Fig. 3 therein).…”

“…4 in [39]: therein higher relative pressure corresponding to λ r here) show that (i) once the orientation θ increases, for the same h (or temperature; cf. [27]), the dispersion λ r (or the relative pressure in [39]) increases (please refer to [15,17]); (ii) as |B| (B: the Pauli-blocking parameter) increases, the dispersion (λ r ) will reach the continuum or hydrodynamical limit (larger h or high temperature regime) earlier. The phase speed of the plane (sound) wave in Bose gases (even for small but fixed h) increases more rapid than that of Fermi gases (w.r.t.…”

Possible Dark States Induced by a Surface Wave Along a Vacuum-Matter Boundary

“…The (matter) gas is subjected to boundary conditions imposed by the symmetric motion of the vacuum-matter interfaces and the non-zero slip velocity: u = ∓ Kn du/dy (cf. [12][13][14]), v = ±∂η/∂t at y = ±(1 + η), here Kn = mfp/(2h). The boundary conditions may be expanded in powers of η and then :…”

“…[9][10][11]). These are relevant to rarefied gases (RG) flowing along deformable elastic slabs with the dominated parameter being the Knudsen number (Kn = mean-free-path/L d , meanfree-path (mfp) is the mean free path of the gas, L d is proportional to the distance between two slabs) [12][13][14]. The role of the Knudsen number is similar to that of the Navier slip parameter N s (cf.…”