{"id":17458,"date":"2025-03-26T05:55:45","date_gmt":"2025-03-26T04:55:45","guid":{"rendered":"https:\/\/www.icpf.cas.cz\/?p=17458"},"modified":"2025-03-26T05:59:05","modified_gmt":"2025-03-26T04:59:05","slug":"asymptotic-properties-of-bridging-transitions-in-sinusoidally-shaped-slit","status":"publish","type":"post","link":"https:\/\/www.icpf.cas.cz\/en\/asymptotic-properties-of-bridging-transitions-in-sinusoidally-shaped-slit\/","title":{"rendered":"Asymptotic properties of bridging transitions in sinusoidally shaped slit"},"content":{"rendered":"

In this work led by Prof. Alexandr Malijevsk\u00fd<\/a>, published in the journal Physical Review E<\/em>, we theoretically analyze bridging transitions that emerge between two sinusoidally shaped walls of amplitude A<\/em>, wavenumber k<\/em>, and mean separation L<\/em>. The focus is on weakly corrugated walls to examine the properties of bridging transitions in the limit when the walls become flat. We found that decreasing k<\/em>, (i.e., by increasing the system wavelength) induces a continuous phenomenon associated with the growth of bridging films concentrated near the system necks, with the thickness of these films diverging as \u223ck<\/em>\u22122\/<\/em>3 in the limit of k <\/em>\u2192 0. In contrast, the limit of vanishing wall roughness by reducing A <\/em>cannot be considered in this context, as there exists a minimal value A<\/em>min (k<\/em>, L<\/em>) of the amplitude below which bridging transition does not occur. On the other hand, for amplitudes A <\/em>> A<\/em>min (k<\/em>, L<\/em>), the bridging transition always precedes global condensation in the system. These predictions, including the scaling property A<\/em>min \u221d kL^<\/em>2, are verified numerically using density-functional theory.<\/p>\n

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Fig. 1. An illustrative bridging state between two sinusoidally shaped walls obtained from a density functional theory<\/span><\/p>\n