{ "id": "2106.00821", "version": "v1", "published": "2021-06-01T22:00:06.000Z", "updated": "2021-06-01T22:00:06.000Z", "title": "Negative group velocity and Kelvin-like wake in superfluid $^{4}He$", "authors": [ "Eugene B. Kolomeisky", "Jonathan Colen", "Joseph P. Straley" ], "comment": "4+ pages, 2 figures", "categories": [ "cond-mat.mes-hall", "physics.flu-dyn" ], "abstract": "The dispersion law $\\Omega(k)$ of elementary excitations in superfluid $^{4}He$ is a non-monotonic function of the wave number $k$. After an initial increase, the function $\\Omega(k)$ reaches a maximum followed by a \"roton\" minimum at finite $k$. As a result, there is a range of $k$ between these extrema where the elementary excitations have negative group velocity. These excitations are generated when a fast heavy impurity travels through the superfluid or the latter flows past an obstacle with the speed exceeding $60~m/s$. Their interference leads to a pattern resembling the Kelvin ship wake.", "revisions": [ { "version": "v1", "updated": "2021-06-01T22:00:06.000Z" } ], "analyses": { "keywords": [ "negative group velocity", "kelvin-like wake", "superfluid", "elementary excitations", "fast heavy impurity travels" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }