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The elasticity of disordered and polydisperse polymer networks is a fundamental problem of soft matter physics that is still open. Here, we self-assemble polymer networks via simulations of a mixture of bivalent and tri- or tetravalent…

Solid interfaces have intrinsic elasticity. However, in most experiments, this is obscured by bulk stresses. Through microscopic observations of the contact-line geometry of a partially wetting droplet on an anisotropically stretched…

Soft Condensed Matter · Physics 2017-11-29 Qin Xu , Robert W. Style , Eric R. Dufresne

We present an interpretation of recent experimental measurements of dmu/dn in suspended bilayer graphene samples. We demonstrate that the data may be quantitatively described by assuming a spatially varying band gap induced by local…

Mesoscale and Nanoscale Physics · Physics 2011-11-18 D. S. L. Abergel , H. Min , E. H. Hwang , S. Das Sarma

For the finite element simulation of thin soft biological tissues in dynamics, shell elements, compared to volume elements, can capture the whole tissue thickness at once, and feature larger critical time steps. However, the capabilities of…

Numerical Analysis · Mathematics 2018-01-15 Bahareh Momenan , Michel R. Labrosse

There have been some interesting recent advances in understanding the notion of mechanical disorder in structural glasses and the statistical mechanics of these systems' low-energy excitations. Here we contribute to these advances by…

Soft Condensed Matter · Physics 2024-01-23 Tommaso Pettinari , Gustavo Düring , Edan Lerner

Intrinsic nonlinear elasticity deals with the deformations of elastic bodies as isometric immersions of Riemannian manifolds into the Euclidean spaces (see Ciarlet [9,10]). In this paper, we study the rigidity and continuity properties of…

Analysis of PDEs · Mathematics 2026-02-24 Gui-Qiang G. Chen , Siran Li , Marshall Slemrod

We study the Coulomb drag between two single graphene sheets in intrinsic and extrinsic graphene systems with no interlayer tunneling. The general expression for the nonlinear susceptibility appropriate for single-layer graphene systems is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Wang-Kong Tse , Ben Yu-Kuang Hu , S. Das Sarma

We investigate the propagation of a suddenly applied tension along a thermally excited semi-flexible polymer using analytical approximations, scaling arguments and numerical simulation. This problem is inherently non-linear. We find…

Soft Condensed Matter · Physics 2009-10-28 Udo Seifert , Wolfgang Wintz , Philip Nelson

Recent mean-field calculations suggest that the superconducting state of twisted bilayer graphene exhibits either a nematic order or a spontaneous breakdown of the time-reversal symmetry. The two-dimensional character of the material and…

Strongly Correlated Electrons · Physics 2023-03-10 Ilaria Maccari , Johan Carlström , Egor Babaev

We report numerical investigations of wave turbulence in a vibrating plate. The possibility to implement advanced measurement techniques and long time numerical simulations makes this system extremely valuable for wave turbulence studies.…

Soft Condensed Matter · Physics 2017-10-25 Nicolas Mordant , Benjamin Miquel

We present a multi-scale density functional theory (DFT) informed molecular dynamics and tight-binding (TB) approach to capture the interdependent atomic and electronic structures of twisted bilayer graphene. We calibrate the flat band…

Mesoscale and Nanoscale Physics · Physics 2022-03-17 Nicolas Leconte , Srivani Javvaji , Jiaqi An , Appalakondaiah Samudrala , Jeil Jung

We examine the fracture mechanics of tearing graphene. We present a molecular dynamics simulation of the propagation of cracks in clamped, free-standing graphene as a function of the out-of-plane force. The geometry is motivated by…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Maria J. B. Moura , Michael Marder

Living organisms have mastered the dynamic control of internal stresses to perform an array of functions, such as change shape and locomote. State-of-the-art attempts to replicate this ability in synthetic materials are rudimentary in…

Soft Condensed Matter · Physics 2021-02-16 Ido Levin , Robert Deegan , Eran Sharon

In this study, we have comprehensively investigated the scaling law for elastic properties of three-dimensional honeycomb-like graphenes (3D-graphenes) using hybrid neural network potential based molecular dynamics simulations and…

Materials Science · Physics 2025-09-10 Ming Li , Guo Lu , Haodong Yu , Menglei Li , Fawei Zheng

We explore thermodynamics of a quantum membrane, with a particular application to suspended graphene membrane and with a particular focus on the thermal expansion coefficient. We show that an interplay between quantum and classical…

Mesoscale and Nanoscale Physics · Physics 2016-11-30 I. S. Burmistrov , I. V. Gornyi , V. Yu. Kachorovskii , M. I. Katsnelson , A. D. Mirlin

Results from first principles density functional theory (DFT) calculations and classical molecular dynamics (CMD) simulations are presented on moire-corrugation of graphene (gr). We find that the moire-corrugated graphene could be…

Materials Science · Physics 2014-03-11 P. Süle

Free-standing graphene is inherently crumpled in the out-of-plane direction due to dynamic flexural phonons and static wrinkling. We explore the consequences of this crumpling on the effective mechanical constants of graphene. We develop a…

The structural, dynamical, and thermodynamical properties of diamond, graphite and layered derivatives (graphene, rhombohedral graphite) are computed using a combination of density-functional theory (DFT) total-energy calculations and…

Materials Science · Physics 2009-11-10 Nicolas Mounet , Nicola Marzari

We study numerically the geometrical and free-energy fluctuations of a static one-dimensional (1D) interface with a short-range elasticity, submitted to a quenched random-bond Gaussian disorder of finite correlation length $\xi>0$, and at…

Disordered Systems and Neural Networks · Physics 2013-07-30 Elisabeth Agoritsas , Vivien Lecomte , Thierry Giamarchi

Unparalleled strength, chemical stability, ultimate surface-to-volume ratio and excellent electronic properties of graphene make it an ideal candidate as a material for membranes in micro- and nanoelectromechanical systems (MEMS and NEMS).…