Generalization of Young-Laplace, Kelvin, and Gibbs-Thomson equations for arbitrarily curved surfaces
DV Svintradze - Biophysical Journal, 2023 - cell.com
Abstract The Young-Laplace, Kelvin, and Gibbs-Thomson equations form a cornerstone of
colloidal and surface sciences and have found successful applications in many subfields of …
colloidal and surface sciences and have found successful applications in many subfields of …
Generalization of the Kelvin equation for arbitrarily curved surfaces
DV Svintradze - Physics Letters A, 2020 - Elsevier
Capillary condensation, which takes place in confined geometries, is the first-order vapor-to-
liquid phase transition and is explained by the Kelvin equation, but the equation's …
liquid phase transition and is explained by the Kelvin equation, but the equation's …
Moving Manifolds and General Relativity
DV Svintradze - arXiv preprint arXiv:2406.08382, 2024 - arxiv.org
We revise general relativity (GR) from the perspective of calculus for moving surfaces (CMS).
While GR is intrinsically constructed in pseudo-Riemannian geometry, a complete …
While GR is intrinsically constructed in pseudo-Riemannian geometry, a complete …
Closed, two dimensional surface dynamics
DV Svintradze - Frontiers in Physics, 2018 - frontiersin.org
We present dynamic equations for two dimensional closed surfaces and analytically solve it
for some simplified cases. We derive final equations for surface normal motions by two …
for some simplified cases. We derive final equations for surface normal motions by two …