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Because of their spontaneous bulk polarization, ferroelectric nematic liquid crystals can be easily brought by surface coupling or confinement in a state in which the accumulation of bound charges becomes incompatible with polar order,…

We theoretically study the behavior of vesicles filled with a liquid of higher density than the surrounding medium, a technique frequently used in experiments. In the presence of gravity, these vesicles sink to the bottom of the container,…

Condensed Matter · Physics 2009-10-28 Martin Kraus , Udo Seifert , Reinhard Lipowsky

Well-posedness of a free boundary problem for electrostatic microelectromechanical systems (MEMS) is investigated when nonlinear bending effects are taken into account. The model describes the evolution of the deflection of an electrically…

Analysis of PDEs · Mathematics 2014-09-26 Philippe Laurencot , Christoph Walker

The influence of the pore network geometry and interparticle long-distance electric coupling on the ferroelectric phase transition in small particles embedded into mesoporous matrices is considered. It was shown that the temperature of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. V. Charnaya , A. L. Pirozerski , Cheng Tien , M. K. Lee

We present a phase field model for vesicle growth or shrinkage induced by an osmotic pressure due to a chemical potential gradient. The model consists of an Allen-Cahn equation describing the evolution of phase field and a Cahn-Hilliard…

Numerical Analysis · Mathematics 2022-09-29 Xiaoxia Tang , Shuwang Li , John S. Lowengrub , Steven M. Wise

We study theoretically and numerically the coupling and rotational hydrodynamic interactions between spherical particles near a planar elastic membrane that exhibits resistance towards shear and bending. Using a combination of the multipole…

Space-saving design is a requirement that is encountered in biological systems and the development of modern technological devices alike. Many living organisms dynamically pack their polymer chains, filaments or membranes inside of…

Soft Condensed Matter · Physics 2014-07-18 Roman Vetter , Falk K. Wittel , Hans J. Herrmann

The adhesion dynamics of a membrane confined between two permeable walls is studied using a two-dimensional hydrodynamic model. The membrane morphology decomposes into adhesion patches on the upper and the lower walls and obeys a nonlinear…

Soft Condensed Matter · Physics 2014-09-16 Thomas Le Goff , Paolo Politi , Olivier Pierre-Louis

We show that surface interactions can vectorially structure the three-dimensional polariza-tion field of a ferroelectric fluid. The contact between a ferroelectric nematic liquid crystal and a surface with in-plane polarity generates a…

Soft Condensed Matter · Physics 2024-01-19 Xi Chen , Eva Korblova , Matthew A. Glaser , Joseph E. Maclennan , David M. Walba , Noel A. Clark

We study elasticity-driven morphological transitions of soft spherical core shell structures in which the core can be treated as an isotropic elastic continuum and the surface or shell as a tensionless liquid layer, whose elastic response…

Soft Condensed Matter · Physics 2013-11-13 Craig Fogle , Amy C. Rowat , Alex J. Levine , Joseph Rudnick

The paper discusses the features of supercooled water thin film of width $d=3.97$~nm contained by the perfect graphene layers and crystallizing under external stationary electric field. It was found that the electric field applied…

Materials Science · Physics 2020-05-22 R. M. Khusnutdinoff , A. V. Mokshin

We examine the deformation of homogeneous spherical fluid vesicles along their equator by a circular rigid ring. We consider deformations preserving the axial and equatorial mirror symmetries of the vesicles. The configurations of the…

Soft Condensed Matter · Physics 2025-03-27 Pablo Vázquez-Montejo , Bojan Božič , Jemal Guven

A transient analysis for vesicle deformation under DC electric fields is developed. The theory extends from a droplet model, with the additional consideration of a lipid membrane separating two fluids of arbitrary properties. For the…

Biological Physics · Physics 2015-06-12 Jia Zhang , Jeffery D. Zahn , Wenchang Tan , Hao Lin

Dielectric interfaces are crucial to the behavior of charged membranes, from graphene to synthetic and biological lipid bilayers. Understanding electrolyte behavior near these interfaces remains a challenge, especially in the case of rough…

Soft Condensed Matter · Physics 2024-04-03 Nicholas Pogharian , Alexandre P. dos Santos , Ali Ehlen , Monica Olvera de la Cruz

The influence of an external electric field on the spin dynamics of an electrically neutral Fermi liquid is considered, the mechanism of such an influence being the relativistic spin-orbital interaction. As a result, Leggett's equations for…

Condensed Matter · Physics 2007-05-23 P. L. Krotkov

One of the most widely used methods for determination of the bending elasticity modulus of model lipid membranes is the analysis of the shape fluctuations of nearly spherical lipid vesicles. The theoretical basis of this analysis is given…

Soft Condensed Matter · Physics 2019-09-04 Isak Bivas , Nicholay S. Tonchev

A three-dimensional numerical model of vesicle electrohydrodynamics in the presence of DC electric fields is presented. The vesicle membrane is modeled as a thin capacitive interface through the use of a semi-implicit level set Jet scheme.…

Soft Condensed Matter · Physics 2015-06-24 Ebrahim M. Kolahdouz , David Salac

The statistical mechanics of flexible surfaces with internal elasticity and shape fluctuations is summarized. Phantom and self-avoiding isotropic and anisotropic membranes are discussed, with emphasis on the universal negative Poisson ratio…

Soft Condensed Matter · Physics 2016-11-23 Mark J. Bowick

Electric field produced inside a solute by a uniformly polarized liquid is strongly affected by dipolar polarization of the liquid at the interface. We show, by numerical simulations, that the electric "cavity" field inside a hydrated…

Soft Condensed Matter · Physics 2015-05-28 Daniel R. Martin , Allan D. Friesen , Dmitry V. Matyushov

Motivated by recent experiments on biomimetic membranes exposed to several aqueous phases, we theoretically study the morphology of a membrane in contact with a liquid droplet formed via aqueous phase separation. We concentrate on membranes…

Soft Condensed Matter · Physics 2012-02-07 Halim Kusumaatmaja , Reinhard Lipowsky
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