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Related papers: Self-avoiding tethered surfaces are always flat

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Models of folding of a triangular lattice embedded in a discrete space are studied as simple models of the crumpling transition of fixed-connectivity membranes. Both the case of planar folding and three-dimensional folding on a…

Statistical Mechanics · Physics 2008-02-03 Mark Bowick , Philippe Di Francesco , Olivier Golinelli , Emmanuel Guitter

Recently Jeong and Kim [Phys. Rev. E {\bf 66}, 051605 (2002)] investigated the scaling properties of equilibrium self-flattening surfaces subject to a restricted curvature constraint. In one dimension (1D), they found numerically that the…

Statistical Mechanics · Physics 2007-05-23 Hyunggyu Park

We consider self-avoiding walks terminally attached to an impenetrable surface at which they can adsorb. We call the vertices farthest away from this plane the top vertices and we consider applying a force at the plane containing the top…

Statistical Mechanics · Physics 2016-06-22 EJ Janse van Rensburg , SG Whittington

We investigate the crossover between weak and strong self-avoidance in a simulation of random surfaces with extrinsic curvature. We consider both dynamically triangulated and rigid surfaces with the two possible discretizations of the…

High Energy Physics - Lattice · Physics 2009-10-22 C. F. Baillie , D. A. Johnston

In this investigation we revisit the concept of "effective free surfaces" arising in the solution of the time-averaged fluid dynamics equations in the presence of free boundaries. This work is motivated by applications of the optimization…

Fluid Dynamics · Physics 2012-09-04 R. Yapalparvi , B. Protas

We analyze the structural behavior of a single polymer chain grafted to an attractive, flexible surface. Our model is composed of a coarse-grained bead-and-spring polymer and a tethered membrane. By means of extensive parallel tempering…

Soft Condensed Matter · Physics 2011-09-26 Steffen Karalus , Wolfhard Janke , Michael Bachmann

Soft solids and their surface deformations control the response of many natural and artificial systems. Yet, their underlying properties are vigorously debated, particularly for polymer networks. While molecular-scale theories predict no…

Holding a shell in their hands, one can apply six loads: three by pulling and shearing, and three by bending and twisting. Here, it is shown that the shell resists exactly three load cases and comply with the other three, provided the shell…

Mathematical Physics · Physics 2026-03-03 Hussein Nassar

We introduce a novel approach to simulate the interaction between fluids and thin elastic solids without any penetration. Our approach is centered around an optimization system augmented with barriers, which aims to find a configuration…

Graphics · Computer Science 2026-05-04 Yuchen Sun , Jinyuan Liu , Yin Yang , Chenfanfu Jiang , Minchen Li , Bo Zhu

Shells, when confined, can deform in a broad assortment of shapes and patterns, often quite dissimilar to what is produced by their flat counterparts (plates). In this work we discuss the morphological landscape of shells deposited on a…

Soft Condensed Matter · Physics 2018-06-12 Octavio Albarrán , Desislava V. Todorova , Eleni Katifori , Lucas Goehring

We use numerical simulations to study the dynamics of dense assemblies of self-propelled particles in the limit of extremely large, but finite, persistence times. In this limit, the system evolves intermittently between mechanical…

Soft Condensed Matter · Physics 2023-06-09 Yann-Edwin Keta , Rituparno Mandal , Peter Sollich , Robert L. Jack , Ludovic Berthier

Topological insulators as new type of quantum matter materials are characterized by a full insulating gap in the bulk and gapless edge/surface states which are protected by time-reversal symmetry. We propose the interference patterns caused…

Mesoscale and Nanoscale Physics · Physics 2013-06-10 Jing Wang , Bang-Fen Zhu

We consider the dynamics of an electrostatically actuated thin elastic plate being clamped at its boundary above a rigid plate. The model includes the harmonic electrostatic potential in the three-dimensional time-varying region between the…

Analysis of PDEs · Mathematics 2015-06-02 Philippe Laurencot , Christoph Walker

We evaluate the effective Hamiltonian governing, at the optically resolved scale, the elastic properties of micro-manipulated membranes. We identify floppy, entropic-tense and stretched-tense regimes, representing different behaviors of the…

Soft Condensed Matter · Physics 2009-11-07 J. -B. Fournier , A. Ajdari , L. Peliti

We study the deformation of a liquid interface with arbitrary principal curvatures by a flat circular sheet. Working first at small slopes, we determine the shape of the sheet analytically in the membrane limit, where the sheet is…

Soft Condensed Matter · Physics 2025-06-03 Zachariah S. Schrecengost , Seif Hejazine , Jordan V. Barrett , Vincent Démery , Joseph D. Paulsen

Thin elastic films can spontaneously attach to liquid interfaces, offering a platform for tailoring their physical, chemical, and optical properties. Current understanding of the elastocapillarity of thin films is based primarily on studies…

Many compliant shell mechanisms are periodically corrugated or creased. Being thin, their preferred deformation modes are inextensional, i.e., isometric. Here, we report on a recent characterization of the isometric deformations of periodic…

Differential Geometry · Mathematics 2025-11-04 Hussein Nassar , Andrew Weber

Artificial spin ices provide a controlled platform for investigating diverse physical phenomena, such as geometric frustration, magnetic monopoles, and phase transitions, via deliberate design. Here, we introduce a novel approach by…

Mesoscale and Nanoscale Physics · Physics 2024-11-18 Zixiong Yuan , Wen-Cheng Yue , Peiyuan Huang , Yang-Yang Lyu , Sining Dong , Ying Dong , Huabing Wang , Peiheng Wu , Yong-Lei Wang

We consider a family of linearly elastic shells with thickness $2\varepsilon$ (where $\varepsilon$ is a small parameter). The shells are clamped along a portion of their lateral face, all having the same middle surface $S$, and may enter in…

Mathematical Physics · Physics 2016-11-23 Á. Rodríguez-Arós

Using numerical simulations, we characterized the behavior of an elastic membrane immersed in an active fluid. Our findings reveal a nontrivial folding and re-expansion of the membrane that is controlled by the interplay of its resistance…

Soft Condensed Matter · Physics 2015-07-24 S. A. Mallory , C. Valeriani , A. Cacciuto