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We numerically study Turing patterns (TPs) on two-dimensional surfaces with a square boundary in ${\bf R}^3$ using a surface model for polymerized membranes. The variables used to describe the membranes correspond to two distinct degrees of…

Soft Condensed Matter · Physics 2025-02-24 F. Kato , H. Koibuchi , E. Bretin , C. Carvalho , R. Denis , S. Masnou , M. Nakayama , S. Tasaki , T. Uchimoto

The collective response of a system is profoundly shaped by the interaction dynamics between its constituent elements. In physics, tailoring these interactions can enable the observation of unusual phenomena that are otherwise inaccessible…

We study a blend of two kinds of homopolymers with tendency for segragation. Cross-links between the chains of different kinds do not allow macrophase separation. Instead microphase structure appears. Starting from a microscopic model we…

Condensed Matter · Physics 2007-05-23 C. D. Sfatos , A. M. Gutin , E. I. Shakhnovich

Mechanical metamaterials leverage geometric design to achieve unconventional properties, such as high strength at low density, efficient wave guiding, and complex shape morphing. The ability to control shape changes builds on the complex…

Applied Physics · Physics 2025-01-28 Krzysztof K. Dudek , Muamer Kadic , Corentin Coulais , Katia Bertoldi

We present results for a lattice model of bio-polymers where the type of $\beta$-sheet formation can be controlled by different types of hydrogen bonds depending on the relative orientation of close segments of the polymer. Tuning these…

Soft Condensed Matter · Physics 2007-06-13 J. Krawczyk , A. L. Owczarek , T. Prellberg , A. Rechnitzer

Polymerization and formation of crosslinked polymer networks are important processes in manufacturing, materials fabrication, and in the case of hydrated polymer networks, synthesis of biomedical materials, drug delivery, and tissue…

Soft Condensed Matter · Physics 2022-12-15 Sam C. P. Norris , Andrea M. Kasko , Tom Chou , Maria R. D'Orsogna

Carbon nanotubes and biological filaments each spontaneously assemble into kinked helices, rings, and "tennis racket" shapes due to competition between elastic and interfacial effects. We show that the slender geometry is a more important…

Soft Condensed Matter · Physics 2009-11-10 Adam E. Cohen , L. Mahadevan

Current theories on the conformation and dynamics of unknotted and non-concatenated ring polymers in melt conditions describe each ring as a tree-like double-folded object. While evidence from simulations supports this picture on a single…

Soft Condensed Matter · Physics 2022-12-02 Mattia Alberto Ubertini , Jan Smrek , Angelo Rosa

We present a theoretical framework for the linear and nonlinear visco-elastic properties of reversibly crosslinked networks of semiflexible polymers. In contrast to affine models where network strain couples to the polymer end-to-end…

Soft Condensed Matter · Physics 2016-07-06 Jan Plagge , Andreas Fischer , Claus Heussinger

Selective targeting of membranes with a specific receptor profile is an ongoing challenge in targeted drug delivery. We investigate the adsorption of copolymers on a multicomponent receptor-covered surface using grand-canonical Monte Carlo…

Soft Condensed Matter · Physics 2026-05-27 Vid Ravnik , Urban Bren , Tine Curk

We enumerate all minimal energy packings (MEPs) for small single linear and ring polymers composed of spherical monomers with contact attractions and hard-core repulsions, and compare them to corresponding results for monomer packings. We…

Soft Condensed Matter · Physics 2015-05-18 Robert S. Hoy , Corey S. O'Hern

Topologically interlocked material systems are two-dimensional assemblies of unit elements from which no element can be removed from the assembly without disassembly of the entire system. Consequently, such tile assemblies are able to carry…

Materials Science · Physics 2020-11-16 Andrew Williams , Thomas Siegmund

Inspired by recent experiments on the spatial organization of bacterial chromosomes, we consider a type of "bottle brush" polymer consisting of a flexible backbone chain, to which flexible side loops are connected. We show that such a model…

Biological Physics · Physics 2012-07-10 Debasish Chaudhuri , Bela M. Mulder

Maxwell lattice metamaterials possess a rich phase space with distinct topological states featuring mechanically polarized edge behaviors and strongly asymmetric acoustic responses. Until now, demonstrations of non-trivial topological…

We present a theory for the elasticity of cross-linked stiff polymer networks. Stiff polymers, unlike their flexible counterparts, are highly anisotropic elastic objects. Similar to mechanical beams stiff polymers easily deform in bending,…

Soft Condensed Matter · Physics 2007-11-26 C. Heussinger , B. Schaefer , E. Frey

A remarkable property of flexible self-avoiding elastic surfaces (membranes) is that they remain flat at all temperatures, even in the absence of a bending rigidity or in the presence of active fluctuations. Here, we report numerical…

Soft Condensed Matter · Physics 2025-01-14 A. D. Chen , M. C. Gandikota , A. Cacciuto

We revisit the classical problem of a polymer confined in a slit in both of its static and dynamic aspects. We confirm a number of well known scaling predictions and analyse their range of validity by means of comprehensive Molecular…

Shell buckling is central in many biological structures and advanced functional materials, even if, traditionally, this elastic instability has been regarded as a catastrophic phenomenon to be avoided for engineering structures. Either way,…

Soft Condensed Matter · Physics 2021-05-17 Dong Yan , Matteo Pezzulla , Lilian Cruveiller , Arefeh Abbasi , Pedro M. Reis

The effect of different Monte Carlo move sets on the the folding kinetics of lattice polymer chains is studied from the geometry of the conformation-network. The networks have the characteristics of small- world. The Monte Carlo move, rigid…

Statistical Mechanics · Physics 2009-11-11 Yu-Pin Luo , Hung-Yeh Lin , Ming-Chang Huang , Tsong-Ming Liaw

We have studied biomembranes with grafted polymer chains using a coarse-grained membrane simulation, where a meshless membrane model is combined with polymer chains. We focus on the polymer-induced entropic effects on mechanical properties…

Biological Physics · Physics 2024-12-05 Hao Wu , Hiroshi Noguchi