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The dynamics of active smectic liquid crystals confined on a spherical surface is explored through an active phase field crystal model. Starting from an initially randomly perturbed isotropic phase, several types of topological defects are…

Soft Condensed Matter · Physics 2025-03-11 Michael Nestler , Simon Praetorius , Zhi-Feng Huang , Hartmut Löwen , Axel Voigt

A two-state-model consisting of hexagonally connected lipids being either in the ordered or disordered state is used to set up a Monte Carlo Simulation for lipid monolayers. The connection of the lipids is realized by Newtonian springs…

Biological Physics · Physics 2011-07-27 J. Griesbauer , A. Wixforth , H. M. Seeger , M. F. Schneider

We introduce a smoothing algorithm for triangle, quadrilateral, tetrahedral and hexahedral meshes whose centerpiece is a simple geometric triangle transformation. The first part focuses on the mathematical properties of the element…

Numerical Analysis · Mathematics 2017-08-29 Dimitris Vartziotis , Doris Bohnet

It is reported that a surface model of Polyakov strings undergoes a first-order phase transition between smooth and crumpled (or branched polymer) phases. The Hamiltonian of the model contains the Gaussian term and a deficit angle term…

Statistical Mechanics · Physics 2009-11-10 H. Koibuchi , N. Kusano , A. Nidaira , Z. Sasaki , K. Suzuki

We study the phase behavior of hard spheres confined between two parallel hard plates using extensive computer simulations. We determine the full equilibrium phase diagram for arbitrary densities and plate separations from one to five…

Soft Condensed Matter · Physics 2009-11-11 Andrea Fortini , Marjolein Dijkstra

Many vesicles have a spherical resting shape and exposure to fluid flows induces an exchange between sub-optical area and visible (systematic) deformation, while the total area is conserved. The dynamics which controls the exchange between…

Soft Condensed Matter · Physics 2020-06-19 Afsoun Rahnama Falavarjani , David Salac

Compliant environments can mediate interactions between mechanically active cells like fibroblasts. Starting with a phenomenological model for the behaviour of single cells, we use extensive Monte Carlo simulations to predict non-trivial…

Soft Condensed Matter · Physics 2007-05-23 I. B. Bischofs , U. S. Schwarz

We report the status of a high-statistics Monte Carlo simulation of non-self-avoiding crystalline surfaces with extrinsic curvature on lattices of size up to $128^2$ nodes. We impose free boundary conditions. The free energy is a gaussian…

High Energy Physics - Lattice · Physics 2009-10-28 K. N. Anagnostopoulos , M. J. Bowick , S. M. Catterall , M. Falcioni , G. Thorleifsson

The temporal evolution of equilibrium fluctuations for surface steps of monoatomic height is analyzed studying one-dimensional solid-on-solid models. Using Monte Carlo simulations, fluctuations due to periphery-diffusion (PD) as well as due…

Statistical Mechanics · Physics 2014-07-31 Walter Selke

We study the surface phase diagram of the three-dimensional kinetic Ising model below the equilibrium critical point subjected to a periodically oscillating magnetic field. Changing the surface interaction strength as well as the period of…

Statistical Mechanics · Physics 2014-03-19 Keith Tauscher , Michel Pleimling

The purpose of this communication is to discuss the simulation of a free surface compressible flow between two fluids, typically air and water. We use a two fluid model with the same velocity, pressure and temperature for both phases. In…

Computational Physics · Physics 2020-02-20 Frederic Dias , Denys Dutykh , Jean-Michel Ghidaglia

We report results of high-precision Monte Carlo simulations of a three-dimensional lattice model in the O(3) universality class, in the presence of a surface. By a finite-size scaling analysis we have proven the existence of a special…

Statistical Mechanics · Physics 2022-03-30 Francesco Parisen Toldin

A shape sensitive, variational approach for the matching of surfaces considered as thin elastic shells is investigated. The elasticity functional to be minimized takes into account two different types of nonlinear energies: a membrane…

Optimization and Control · Mathematics 2021-06-09 José A. Iglesias , Martin Rumpf , Otmar Scherzer

We simulate the sintering of particle aggregates due to surface diffusion. As a method we use Kinetic Monte-Carlo simulations in which elasticity can explicitly be taken into account. Therefore it is possible to investigate the shape…

Statistical Mechanics · Physics 2007-05-23 F. Westerhoff , R. Zinetullin , D. E. Wolf

We develop an energy-landscape based elasto-plastic model to understand the behaviour of amorphous solids under uniform and cyclic shear. Amorphous solids are modeled as being composed of mesoscopic sub-volumes, each of which may occupy…

Soft Condensed Matter · Physics 2026-02-10 Pushkar Khandare , Srikanth Sastry

We propose a kinetic Ising model to study phase separation driven by surface diffusion. This model is referred to as "Model S", and consists of the usual Kawasaki spin-exchange kinetics ("Model B") in conjunction with a kinetic constraint.…

Statistical Mechanics · Physics 2015-06-24 S. van Gemmert , G. T. Barkema , Sanjay Puri

We carry out Monte Carlo simulations of a colloidal fluid membrane composed of chiral rod-like viruses. The membrane is modeled by a triangular mesh of beads connected by bonds in which the bonds and beads are free to move at each Monte…

Soft Condensed Matter · Physics 2020-09-23 Lijie Ding , Robert A. Pelcovits , Thomas R. Powers

In this paper, phase field models are developed for multi-component vesicle membranes with different lipid compositions and membranes with free boundary. These models are used to simulate the deformation of membranes under the elastic…

Biological Physics · Physics 2007-05-23 Xiaoqiang Wang , Qiang Du

The paper presents results from kinetic Monte Carlo simulations of kinetic surface roughening using an important and experimentally relevant model of epitaxial growth -- the solid-on-solid model with Arrhenius dynamics. A restriction on…

Materials Science · Physics 2014-08-15 Petar P. Petrov , Daniela Gogova

We study the shape dynamics of a two-component fluid membrane, using a dynamical triangulation monte carlo simulation and a Langevin description. Phase separation induces morphology changes depending on the lateral mobility of the lipids.…

Soft Condensed Matter · Physics 2009-10-30 P. B. Sunil Kumar , Madan Rao
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