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Here, we develop a collective variable model of the skyrmion dynamics, extending the approach of Long and Selinger proposed earlier for one dimensional systems. The model relates the skyrmion motion to a complex dynamics of the width of the twist wall around the skyrmion core. The width evolves in a non-reciprocal way, quantifying squirming deformations of the high twist region within on and off states of the field. We analyze in details the average skyrmion velocity as a function of the frequency and strength of the field as well as its duty cycle. The model predictions agrees qualitatively with experiments and results of numerical minimization of the Frank-Oseen model. Our results provide insights into the conditions necessary to observe velocity reversal as a function of the field parameters.<\/jats:p>","DOI":"10.1038\/s42005-023-01486-5","type":"journal-article","created":{"date-parts":[[2024,1,2]],"date-time":"2024-01-02T19:02:24Z","timestamp":1704222144000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Collective variable model for the dynamics of liquid crystal skyrmions"],"prefix":"10.1038","volume":"7","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7293-8848","authenticated-orcid":false,"given":"Tom\u00e1s","family":"Alvim","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8849-9990","authenticated-orcid":false,"given":"Margarida M. Telo da","family":"Gama","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6689-1844","authenticated-orcid":false,"given":"Mykola","family":"Tasinkevych","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,1,2]]},"reference":[{"key":"1486_CR1","doi-asserted-by":"crossref","unstructured":"Manton, N. and Sutcliffe, P. Topological Solitons (Cambridge University Press, Cambridge, England, 2004).","DOI":"10.1017\/CBO9780511617034"},{"key":"1486_CR2","doi-asserted-by":"publisher","first-page":"071601","DOI":"10.1103\/PhysRevLett.127.071601","volume":"127","author":"NS Manton","year":"2021","unstructured":"Manton, N. S., Ole\u015b, K., Roma\u0144czukiewicz, T. & Wereszczy\u0144ski, A. Collective coordinate model of kink-antikink collisions in \u03d54 theory. Phys. Rev. Lett. 127, 071601 (2021).","journal-title":"Phys. Rev. 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