Zobrazeno 1 - 10
of 60
pro vyhledávání: '"François Dunlop"'
Publikováno v:
Royal Society Open Science, Vol 7, Iss 11 (2020)
Exact mathematical identities are presented between the relevant parameters of droplets displaying circular contact boundary based on flat tilted surfaces. Two of the identities are derived from the force balance, and one from the torque balance. The
Externí odkaz:
https://doaj.org/article/a008e0d008404731811575343d21f385
The proceedings of the 2005 les Houches summer school on Mathematical Statistical Physics give and broad and clear overview on this fast developing area of interest to both physicists and mathematicians. - Introduction to a field of math with many in
For super-heated water on a substrate with hydrophobic patches immersed in a hydrophilic matrix, one can choose the temperature so that micro-bubbles will form, grow and merge on the hydrophobic patches and not on the hydrophilic matrix. Until coveri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::69ce4292864bac7bc13c945b762ac555
http://arxiv.org/abs/2301.05582
http://arxiv.org/abs/2301.05582
We revisit the random tree model with nearest-neighbour interaction as described in previous work, enhancing growth. When the underlying free Bienaym\'e-Galton-Watson (BGW) model is sub-critical, we show that the (non-Markov) model with interaction e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b5c449e55a5d4f0482b33189bb31270b
http://arxiv.org/abs/2211.08826
http://arxiv.org/abs/2211.08826
Autor:
François Dunlop, Arif Mardin
We consider the set of random Bienaym\'e-Galton-Watson trees with a bounded number of offspring and bounded number of generations as a statistical mechanics model: a random tree is a rooted subtree of the maximal tree; the spin at a given node of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1442be43d980e60d6aa8b4c6a458dc83
http://arxiv.org/abs/2203.02253
http://arxiv.org/abs/2203.02253
Publikováno v:
Royal Society Open Science
Royal Society Open Science, The Royal Society, 2020, 7 (11), pp.201534. ⟨10.1098/rsos.201534⟩
Royal Society Open Science, Vol 7, Iss 11 (2020)
Royal Society Open Science, 2020
Royal Society Open Science, The Royal Society, 2020, 7 (11), pp.201534. ⟨10.1098/rsos.201534⟩
Royal Society Open Science, Vol 7, Iss 11 (2020)
Royal Society Open Science, 2020
Exact mathematical identities are presented between the relevant parameters of droplets displaying circular contact boundary based on flat tilted surfaces. Two of the identities are derived from the force balance, and one from the torque balance. The
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fbdaae659b52a5d0679ad0de5fd13813
https://hal.science/hal-03002997
https://hal.science/hal-03002997
Publikováno v:
Physica D: Nonlinear Phenomena
Physica D: Nonlinear Phenomena, Elsevier, 2021, 415, pp.132765. ⟨10.1016/j.physd.2020.132765⟩
Physica D: Nonlinear Phenomena, Elsevier, 2021, 415, pp.132765. ⟨10.1016/j.physd.2020.132765⟩
For a pendant drop whose contact line is a circle of radius $r_0$, we derive the relation $mg\sin\alpha={\pi\over2}\gamma r_0\,(\cos\theta^{\rm min}-\cos\theta^{\rm max})$ at first order in the Bond number, where $\theta^{\rm min}$ and $\theta^{\rm m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::78ac47c3b83dbc3cf8fdebe835983410
Autor:
L. De Maio, François Dunlop
Publikováno v:
Journal of Applied Fluid Mechanics, Vol 11, Iss 6, Pp 1471-1476 (2018)
Natural or industrial flows of a fluid often involve droplets or bubbles of another fluid, pinned by physical or chemical impurities or by the roughness of the bounding walls. Here we study numerically one drop pinned on a circular hydrophilic patch,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f72bb78718f5de0f889c4ecd47eb95a8
https://doi.org/10.29252/jafm.11.06.28380
https://doi.org/10.29252/jafm.11.06.28380
Publikováno v:
Physica A: Statistical and Theoretical Physics
Physica A: Statistical and Theoretical Physics, Elsevier, 2021, 571 (1), pp.125823
Physica A: Statistical and Theoretical Physics, Elsevier, 2021, 571 (1), pp.125823
The analytical expressions of liquid-vapor macroscopic contact angles are analyzed for various simple geometries and arrangements of the substrate, in particular when the latter exhibits two or more scales. It concerns the Wenzel state of wetting whe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d795d29e98bc0824df7bbfbcb8c4c5f
https://doi.org/10.1016/j.physa.2021.125823
https://doi.org/10.1016/j.physa.2021.125823
Publikováno v:
Physica A: Statistical Mechanics and its Applications
Physica A: Statistical Mechanics and its Applications, Elsevier, 2015, pp.398-415. ⟨10.1016/j.physa.2015.06.030⟩
Physica A: Statistical Mechanics and its Applications, Elsevier, 2015, pp.398-415. ⟨10.1016/j.physa.2015.06.030⟩
We show that a two-scale model in 1 + 1 dimensions enhances superhydrophobicity. The two scales may differ by a factor of order two or three, or by a large factor in a scaling limit. In both cases, we compute explicitly the macroscopic contact angles
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7975b4439d35f677578d244d47ec979e
https://doi.org/10.1016/j.physa.2015.06.030
https://doi.org/10.1016/j.physa.2015.06.030