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Related papers: Self-avoiding Tethered Membranes at the Tricritica…

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We study the phase behavior of a symmetric binary polymer blend which is confined into a thin film. The film surfaces interact with the monomers via short range potentials. We calculate the phase behavior within the self-consistent field…

Statistical Mechanics · Physics 2009-10-31 M. Mueller , E. V. Albano , K. Binder

Self-avoiding walks are studied on the 3-simplex fractal lattice as a model of linear polymer conformations in a dilute, non-homogeneous solution. A model is supplemented with bending energies and attractive-interaction energies between…

Statistical Mechanics · Physics 2023-02-21 Dušanka Marčetić

Biomimetic membranes in contact with a planar substrate or a second membrane are studied theoretically. The membranes contain specific adhesion molecules (stickers) which are attracted by the second surface. In the absence of stickers, the…

Soft Condensed Matter · Physics 2016-08-31 Thomas R. Weikl , David Andelman , Shigeyuki Komura , Reinhard Lipowsky

We construct a model to explore the hydrodynamic interactions of active inclusions in curved biological membranes. The curved membrane is modelled as a two dimensional layer of highly viscous fluid, surrounded by external solvents of…

Soft Condensed Matter · Physics 2025-06-23 Sarthak Bagaria , Rickmoy Samanta

Biological and biomimetic membranes often contain aggregates of embedded or adsorbed macromolecules. In this article, the indirect interactions of cylindrical objects adhering to a planar membrane are considered theoretically. The adhesion…

Soft Condensed Matter · Physics 2009-11-10 Thomas R. Weikl

We consider Trace finite element methods for the linear membrane problem on second order tetrahedral elements. To accomplish this, zero-level set reconstruction methods for second order tetrahedra are considered. For the higher order…

Numerical Analysis · Mathematics 2017-03-21 Mirza Cenanovic

Adhesion between membranes is studied using a phenomenological model, where the inter-membrane distance is coupled to the concentration of sticker molecules on the membranes. The model applies to both for adhesion of two flexible membranes…

Soft Condensed Matter · Physics 2012-01-31 Shigeyuki Komura , David Andelman

There are three regimes of cell membrane interaction with glass - Tight and loose adhesion, separated by repulsion. Explicitly including hydration, this paper evaluates the pressure between the surfaces as functions of distance for…

Soft Condensed Matter · Physics 2021-03-10 Richard W. Clarke

We develop the elastic theory for inversion-asymmetric tethered membranes and use it to identify and study their possible phases. Asymmetry in a tethered membrane causes spontaneous curvature, which in general depends upon the local…

Statistical Mechanics · Physics 2019-06-05 Tirthankar Banerjee , Niladri Sarkar , John Toner , Abhik Basu

We study the linearized hydrodynamics of a two-component fluid membrane near a repulsive wall, via a model which incorporates curvature- concentration coupling as well as hydrodynamic interactions. This model is a simplified version of a…

Soft Condensed Matter · Physics 2009-11-07 Sumithra Sankararaman , Gautam I. Menon , P. B. Sunil Kumar

We study the effects of long-range electrostatic interactions on the thermal fluctuations of free-standing crystalline membranes exhibiting spontaneous electric polarization directed at each point along the local normal to the surface. We…

Statistical Mechanics · Physics 2019-11-20 Achille Mauri , Mikhail I. Katsnelson

The adhesion of biological membranes is controlled by various types of receptor and ligand molecules. In this letter, we present a statistical-mechanical model for membranes that interact via receptor/ligand bonds of two different lengths.…

Soft Condensed Matter · Physics 2009-11-11 Mesfin Asfaw , Bartosz Rozycki , Reinhard Lipowsky , Thomas R. Weikl

Understanding interactions between membranes requires measurements on well-controlled systems close to natural conditions, in which fluctuations play an important role. We have determined, by grazing incidence X-ray scattering, the…

We study a two-dimensional ternary inhibitory system derived as a sharp-interface limit of the Nakazawa-Ohta density functional theory of triblock copolymers. This free energy functional combines an interface energy favoring micro-domain…

Analysis of PDEs · Mathematics 2019-12-20 Stan Alama , Lia Bronsard , Xinyang Lu , Chong Wang

The elastic property of membranes self-assembled from AB diblock and ABA triblock copolymers, as coarse-grained model of lipids and the bolalipids, are studied using the self-consistent field theory (SCFT). Specifically, solutions of the…

Soft Condensed Matter · Physics 2019-05-17 Rui Xu , Ashkan Dehghan , An-Chang Shi , Jiajia Zhou

We analyze the critical behavior of isotropic systems with dipole-dipole interaction by renormalization-group methods in fixed space-time dimensions. Working in three-dimensional theory we analytically find three-loop expressions for…

Statistical Mechanics · Physics 2022-11-09 A. Kudlis , A. Pikelner

The coil-globule transition of an isolated polymer has been well established to be a second-order phase transition described by a standard tricritical O(0) field theory. We present Monte-Carlo simulations of interacting self-avoiding walks…

Statistical Mechanics · Physics 2009-11-07 Thomas Prellberg , Aleksander L. Owczarek

The infinite-range-interaction Ising spin glass is considered in the presence of an external random magnetic field following a trimodal (three-peak) distribution. The model is studied through the replica method and phase diagrams are…

Statistical Mechanics · Physics 2009-10-31 J. M. de Araujo , F. D. Nobre , F. A. da Costa

We numerically investigate the influence of self-attraction on the critical behaviour of a polymer in two dimensions, by means of an analysis of finite-size results of transfer-matrix calculations. The transfer matrix is constructed on the…

Statistical Mechanics · Physics 2015-06-25 H. W. J. Blöte , M. T. Batchelor , B. Nienhuis

We investigate the multi-channel 4-body scattering system using regularized 2- and 3-body contact interactions. The analysis determines the sensitivity of bound-state energies, scattering phase shifts and cross sections on the cutoff…

Nuclear Theory · Physics 2024-11-04 Sourav Mondal , Rakshanda Goswami , Udit Raha , Johannes Kirscher