Correction to the article of S. V. Iordanskii and A. G. Kulikovskii, ?motion of a fluid containing small particles

Magnus and Iordanskii Forces in Superfluids

“…The confusion in the topic of writing the various parts of the Magnus force is widespread. Part of it arises from different interpretations on the role played by excitations, and whether or not these are scattered asymmetrically by the vortex [4] leading to a transverse force (the Iordanskii force) proportional to the normal fluid density ρ n and either the relative velocity…”

“…Having calculated the superfluid velocity part of the transverse force, there is the need to obtain one more component of it to completely determine the transverse force (4).…”

“…A recent publication by Thouless, Ao and Niu [2] has demonstrated that the vortex velocity part of the transverse force in a homogeneous neutral superfluid is given by the usual form ρ s κ s × v V [3]. A combination of these two independent results and the required Galilean invariance yields that there cannot be any transverse force proportional to the normal fluid velocity, in apparent conflict with Iordanskii's theory of the transverse force due to phonon scattering by the vortex [4]. …”

Sign change of the flux flow Hall effect in HTSC

“…The first one arises from the nondissipative momentum transfer from the moving vortex to infinity. This contribution consists of the Magnus and Iordanskii [3] forces. The second contribution stems from the momentum transfer from the vortex to the normal excitations in the vortex core.…”

“…In general there are two major differerences between the (5) and the Magnus force; first, n ∞ is the total density rather than the superfluid one and thus this part is the sum of the Magnus and Iordanskii [3] forces. Second, and most important is that there is an additional term proportional to the density at the vortex axis.…”