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We construct a new hydrodynamic framework describing plastic deformations in electronic crystals. The framework accounts for pinning, phase, and momentum relaxation effects due to translational disorder, diffusion due to the presence of…

Strongly Correlated Electrons · Physics 2023-04-20 Jay Armas , Erik van Heumen , Akash Jain , Ruben Lier

Programmable shape-shifting materials can take different physical forms to achieve multifunctionality in a dynamic and controllable manner. Although morphing a shape from 2D to 3D via programmed inhomogeneous local deformations has been…

Soft Condensed Matter · Physics 2018-09-05 Hillel Aharoni , Yu Xia , Xinyue Zhang , Randall D. Kamien , Shu Yang

We show numeric evidence that, at low enough temperatures, the potential energy density of a glass-forming liquid fluctuates over length scales much larger than the interaction range. We focus on the behavior of translationally invariant…

Soft Condensed Matter · Physics 2009-04-21 L. A. Fernandez , V. Martin-Mayor , P. Verrocchio

We rigorously derive a Kirchhoff plate theory, via $\Gamma$-convergence, from a three-di\-men\-sio\-nal model that describes the finite elasticity of an elastically heterogeneous, thin sheet. The heterogeneity in the elastic properties of…

Analysis of PDEs · Mathematics 2018-07-17 Virginia Agostiniani , Alessandro Lucantonio , Danka Lučić

We study the spontaneous out-of-plane bending of a planar untwisted ribbon composed of nematic polymer networks activated by a change in temperature. Our theory accounts for both stretching and bending energies, which compete to establish…

Soft Condensed Matter · Physics 2023-02-03 Harmeet Singh , Epifanio G. Virga

We derive geometrically linearized theories for incompressible materials from nonlinear elasticity theory in the small displacement regime. Our nonlinear stored energy densities may vary on the same (small) length scale as the typical…

Analysis of PDEs · Mathematics 2020-04-24 Martin Jesenko , Bernd Schmidt

We propose a formalization for dissipative fluids with interfaces in an inhomogeneous temperature field from the viewpoint of a variational principle. Generally, the Lagrangian of a fluid is given by the kinetic energy density minus the…

Fluid Dynamics · Physics 2015-07-10 Hiroki Fukagawa , Chun Liu , Takeshi Tsuji

Atomistic deformation simulations in the nominally elastic regime are performed for a model binary glass with strain rates as low as $10^{4}$/sec (corresponding to 0.01 shear strain per 1$\mu$sec). A robust elasticity is revealed that…

Soft Condensed Matter · Physics 2020-11-21 P. M. Derlet , R. Maass

Short DNA linkers are increasingly being exploited for driving specific self-assembly of Brownian objects. DNA-functionalised colloids can assemble into ordered or amorphous materials with tailored morphology. Recently, the same approach…

Soft Condensed Matter · Physics 2015-01-12 Lucia Parolini , Bortolo M. Mognetti , Jurij Kotar , Erika Eiser , Pietro Cicuta , Lorenzo Di Michele

In this paper we present two atomistic models for the energy of a one-dimensional elastic crystal. We assume that the macroscopic displacement equals the microscopic one. The energy of the first model is given by a two-body interaction…

Mathematical Physics · Physics 2008-08-15 Carlos Mora-Corral

We introduce a nonlinear, one-dimensional bending-twisting model for an inextensible bi-rod that is composed of a nematic liquid crystal elastomer. The model combines an elastic energy that is quadratic in curvature and torsion with a…

Analysis of PDEs · Mathematics 2022-05-31 Sören Bartels , Max Griehl , Jakob Keck , Stefan Neukamm

Liquid crystal elastomers are rubbery solids that couple liquid crystalline order and deformation. This coupling leads to properties that are attractive for a number of applications in soft robotics and energy absorption. This paper is…

Soft Condensed Matter · Physics 2025-10-24 Adeline Wihardja , Juan Carlos Nieto Fuentes , Daniel Rittel , Kaushik Bhattacharya

Thin nematic elastomers, composite hydrogels and plant tissues are among many systems that display uniform anisotropic deformation upon external actuation. In these materials, the spatial orientation variation of a local director field…

Soft Condensed Matter · Physics 2019-09-25 Itay Griniasty , Hillel Aharoni , Efi Efrati

Free interfaces of liquid crystals tend to minimise both capillarity and anchoring forces. Here we study nematic films in planar and radial geometries with antagonistic anchoring boundary conditions and one deformable interface. Assuming a…

Soft Condensed Matter · Physics 2014-06-17 O V Manyuhina

We investigate the deformation of elastic microcapsules adsorbed at liquid-liquid interfaces. An initially spherical elastic capsule at a liquid-liquid interface undergoes circumferential stretching due to the liquid-liquid surface tension…

Soft Condensed Matter · Physics 2018-07-16 Jonas Hegemann , Horst-Holger Boltz , Jan Kierfeld

Based on experiments and 3-D simulations, we show that a soft elastic film during adhesion and debonding from a rigid flat surface undergoes morphological transitions to pillars, labyrinths and cavities, all of which have the same lateral…

Soft Condensed Matter · Physics 2009-11-11 Manoj Gonuguntla , Ashutosh Sharma , Jayati Sarkar , Subash A. Subramanian , Moniraj Ghosh , Vijay Shenoy

We investigate theoretically the morphology of a thin nematic film adsorbed at flat substrate patterned by stripes with alternating aligning properties, normal and tangential respectively. We construct a simple "exactly-solvable" effective…

Soft Condensed Matter · Physics 2017-02-01 Nuno M. Silvestre , Margarida M. Telo da Gama , Mykola Tasinkevych

A range of monodomain nematic liquid crystal elastomers containing differing proportions of photo-isomerisable mesogenic moieties, which turn from a rod-like to a kinked shape upon ultraviolet (UV) irradiation, was studied. Depending on the…

Soft Condensed Matter · Physics 2007-05-23 P. M. Hogan , A. R. Tajbakhsh , E. M. Terentjev

The mechanical response of naturally abundant amorphous solids such as gels, jammed grains, and biological tissues are not described by the conventional paradigm of broken symmetry that defines crystalline elasticity. In contrast, the…

Disordered Systems and Neural Networks · Physics 2020-09-29 Jishnu N. Nampoothiri , Yinqiao Wang , Kabir Ramola , Jie Zhang , Subhro Bhattacharjee , Bulbul Chakraborty

The effect of finite temperature $T$ and finite strain rate $\dot\gamma$ on the statistical physics of plastic deformations in amorphous solids made of $N$ particles is investigated. We recognize three regimes of temperature where the…

Statistical Mechanics · Physics 2015-05-19 Smarajit Karmakar , Edan Lerner , Itamar Procaccia , Jacques Zylberg
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