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Exterior calculus and moving frames are used to describe curved elastic shells. The kinematics follow from the Lie-derivative on forms whereas the dynamics via stress-forms.

Mathematical Physics · Physics 2015-06-26 Niels Sondergaard

The buoyant rise of thermals (i.e. bubbles of enhanced entropy, but initially in pressure equilibrium) is investigated numerically in three dimensions for the case of an adiabatically stratified layer covering 6-9 pressure scale heights. It…

Astrophysics · Physics 2009-10-31 Axel Brandenburg , John Hazlehurst

Understanding the coupled thermo-mechanical behaviour of compacted granular beds can benefit various industrial applications, such as pebble bed design in fusion reactors. In this study, a thermo-mechanical discrete element method based on…

Soft Condensed Matter · Physics 2021-04-02 Si Suo , Marigrazia Moscardini , Verena Becker , Yixiang Gan , Marc Kamlah

We present Molecular Dynamics simulations of the thermal glass transition in a dense model polymer liquid. We performed a comparative study of both constant volume and constant pressure cooling of the polymer melt. Great emphasis was laid…

Statistical Mechanics · Physics 2009-10-30 C. Bennemann , W. Paul , K. Binder , B. Duenweg

On microscopic scales, the crystallinity of flexible tethered or cross linked membranes determines their mechanical response. We show that by controlling the type, number and distribution of defects on a spherical elastic shell, it is…

Soft Condensed Matter · Physics 2013-06-12 Ee Hou Yong , David R. Nelson , L. Mahadevan

Using the formalism of geometrothermodynamics, we investigate the geometric properties of the equilibrium manifold for diverse thermodynamic systems. Starting from Legendre invariant metrics of the phase manifold, we derive thermodynamic…

General Relativity and Quantum Cosmology · Physics 2011-03-28 H. Quevedo , A. Sanchez , S. Taj , A. Vazquez

Elastic capsules, prepared from droplets or bubbles attached to a capillary (as in a pendant drop tensiometer), can be deflated by suction through the capillary. We study this deflation and show that a combined analysis of the shape and…

Soft Condensed Matter · Physics 2013-10-21 Sebastian Knoche , Dominic Vella , Elodie Aumaitre , Patrick Degen , Heinz Rehage , Pietro Cicuta , Jan Kierfeld

Nematic solids respond strongly to changes in ambient heat or light, significantly differently parallel and perpendicular to the director. This phenomenon is well characterized for uniform director fields, but not for defect textures. We…

Soft Condensed Matter · Physics 2012-04-05 Carl D. Modes , Kaushik Bhattacharya , Mark Warner

Entangled states are ubiquitous amongst fibrous materials, whether naturally occurring (keratin, collagen, DNA) or synthetic (nanotube assemblies, elastane). A key mechanical characteristic of these systems is their ability to reorganise in…

Using exact enumeration methods and Monte Carlo simulations we study the phase diagram relative to the conformational transitions of a two dimensional diblock copolymer. The polymer is made of two homogeneous strands of monomers of…

Statistical Mechanics · Physics 2009-10-31 Marco Baiesi , Enrico Carlon , Enzo Orlandini , Attilio L. Stella

We consider a model of a thin film elastically attached to a rigid substrate. In the case in which the film expands relative to the substrate and assuming certain non-linear elastic behavior of the film, expansion ridges may appear, in…

Statistical Mechanics · Physics 2009-11-11 E. A. Jagla

We study how confining the equilibrium hard-sphere fluid to restrictive one- and two-dimensional channels with smooth interacting walls modifies its structure, dynamics, and entropy using molecular dynamics and transition-matrix Monte Carlo…

Statistical Mechanics · Physics 2007-05-23 Jeetain Mittal , Jeffrey R. Errington , Thomas M. Truskett

The glass transition temperature and its connection to statistical properties of confined and free-standing polymer films of varying thickness containing unentangled to highly entangled bead-spring chains are studied by molecular dynamics…

Soft Condensed Matter · Physics 2023-09-21 Hsiao-Ping Hsu , Kurt Kremer

Many structural glasses feature static and dynamic mechanical properties that can depend strongly on glass formation history. The degree of universality of this history-dependence, and what it is possibly affected by, are largely…

Soft Condensed Matter · Physics 2021-02-17 Karina González-López , Mahajan Shivam , Yuanjian Zheng , Massimo Pica Ciamarra , Edan Lerner

Atomic force microscopy cantilevers are often, intentionally or not, heated at their extremity. We describe a model to compute the resulting temperature field in the cantilever and in the surrounding fluid on a wide temperature range. In…

Statistical Mechanics · Physics 2021-10-08 Basile Pottier , Ludovic Bellon

We review the recent literature on the simulation of the structure and deformation of amorphous glasses, including oxide and metallic glasses. We consider simulations at different length and time scales. At the nanometer scale, we review…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 David Rodney , Anne Tanguy , Damien Vandembroucq

The conformational statistics of ring polymers in melts or dense solutions is strongly affected by their quenched microscopic topological state. The effect is particularly strong for non-concatenated unknotted rings, which are known to…

Soft Condensed Matter · Physics 2015-06-17 Angelo Rosa , Ralf Everaers

We analyse the effect of thermal fluctuations on the elastic constants of the decoupled lamellar phase of tethered, crystalline membranes. Using a momentum-shell renormalization group technique, we show that the smectic-A -like…

Soft Condensed Matter · Physics 2007-05-23 Yashodhan Hatwalne , Sriram Ramaswamy

Quasi-two dimensional electron systems exhibit peculiar transport effects depending on their density profiles and temperature. A usual two dimensional electron system is assumed to have a $\delta$ like density distribution along the crystal…

Mesoscale and Nanoscale Physics · Physics 2014-10-24 G. Oylumluoglu , S. Mirioglu , S. Aksu , U. Erkaslan , A. Siddiki

Active emulsions and liquid crystalline shells are intriguing and experimentally realisable types of topological matter. Here we numerically study the morphology and spatiotemporal dynamics of a double emulsion, where one or two passive…