{rfName}
Th

Indexed in

License and use

Icono OpenAccess

Citations

36

Altmetrics

Analysis of institutional authors

Ultano Kindelán BusteloAuthor

Share

Publications
>
Article

The Shape of Charged Drops over a Solid Surface and Symmetry-Breaking Instabilities

Publicated to:Siam Journal On Applied Mathematics. 69 (1): 126-148-148 - 2008-11-06 69(1), DOI: 10.1137/080713707

Authors: Marco Antonio Fontelos; Ultano Kindelán Bustelo

Affiliations

CSIC UAM UCM UC3M, ICMAT, Madrid 28006, Spain - Author
Ingeniería de Georrecursos y Modelización. Universidad Politécnica de Madrid - Author
Univ Politecn Madrid, Dept Matemat Aplicada & Metodos Informat, Madrid 28003, Spain - Author

Abstract

We study the static shape of charged drops of a conducting fluid placed over a solid substrate, surrounded by a gas, and in absence of gravitational forces. The question can be formulated as a variational problem where a certain energy involving the areas of the solid-liquid interface and of the liquid-gas interface, as well as the electric capacity of the drop, has to be minimized. As a function of two parameters, Young's angle theta(Y) and the potential at the drop's surface V(0), we find the axisymmetric minimizers of the energy and describe their shape. We also discuss the existence of symmetry-breaking bifurcations such that, for given values of theta(Y) and V(0), configurations for which the axial symmetry is lost are energetically more favorable than axially symmetric configurations. We prove the existence of such bifurcations in the limits of very. at and almost spherical equilibrium shapes. All other cases are studied numerically with a boundary integral method. One conclusion of this study is that axisymmetric drops cannot spread indefinitely by introducing sufficient amount of electric charges, but can reach only a limiting (saturation) size, after which the axial symmetry would be lost and finger-like shapes energetically preferred.

Keywords

BifurcationsBoundary integral methodElectrowettingSymmetry-breaking bifurcationsVariational formulation

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Siam Journal On Applied Mathematics due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2008, it was in position 44/175, thus managing to position itself as a Q2 (Segundo Cuartil), in the category Mathematics, Applied. Notably, the journal is positioned en el Cuartil Q2 para la agencia Scopus (SJR) en la categoría Applied Mathematics.

From a relative perspective, and based on the normalized impact indicator calculated from the Field Citation Ratio (FCR) of the Dimensions source, it yields a value of: 4.25, which indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: Dimensions Jun 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-06-12, the following number of citations:

  • WoS: 16
  • Scopus: 20
  • OpenCitations: 18

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-06-12:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 19 (PlumX).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.

Leadership analysis of institutional authors

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: Last Author (KINDELAN BUSTELO, ULTANO).