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We use a free energy functional theory to elucidate general properties of heterogeneously ordering, fast folding proteins, and we test our conclusions with lattice simulations. We find that both structural and energetic heterogeneity can…

Disordered Systems and Neural Networks · Physics 2009-10-31 Steven S. Plotkin , Jose N. Onuchic

We present a self-consistent field theory (SCFT) of semiflexible (wormlike) diblock copolymers, each consisting of a rigid and a flexible part. The segments of the polymers are otherwise identical, in particular with regard to their…

Soft Condensed Matter · Physics 2009-11-07 Dominik Düchs , D. E. Sullivan

This work presents a general and unified theory describing block copolymer self-assembly in the presence of free surfaces and nanoparticles in the context of Self-Consistent Filed Theory. Specifically, the derived theory applies to free and…

Soft Condensed Matter · Physics 2021-12-17 Daniil Bochkov , Ivana Bagaric , Gaddiel Ouaknin , Frederic Gibou

The theory of disordered elastic systems is one of the most powerful frameworks to assess the physics of multiple systems that span from ferromagnets to migrating biological cells. In this formalism, one assumes that the system can be…

Disordered Systems and Neural Networks · Physics 2022-11-28 Nirvana Caballero , Thierry Giamarchi

Motivated by single molecule experiments on biopolymers we explore equilibrium morphologies and force-extension behavior of copolymers with hydrophobic segments using Langevin dynamics simulations. We find that the interplay between…

Soft Condensed Matter · Physics 2013-10-15 Ankur Mishra , Ajay S. Panwar , Buddhapriya Chakrabarti

We consider an explicit model of a semiflexible filament moving in two dimensions on a gliding assay of motor proteins, which attach to and detach from filament segments stochastically, with a detachment rate that depends on the local load…

Soft Condensed Matter · Physics 2019-05-23 Nisha Gupta , Abhishek Chaudhuri , Debasish Chaudhuri

Disordered networks of semiflexible filaments are common support structures in biology. Familiar examples include fibrous matrices in blood clots, bacterial biofilms, and essential components of cells and tissues of plants, animals, and…

Soft Condensed Matter · Physics 2023-09-28 Saamiya Syed , Fred C. MacKintosh , Jordan L. Shivers

We analyse the nature of the confinement of an infinitely long (and finite) linear semiflexible homo-polymer chain confined in between two geometrical constraints (A&B) under good solvent condition in two dimensions. The constraints are…

Soft Condensed Matter · Physics 2017-10-16 Pramod Kumar Mishra

By using the blob theory and computer simulations, we investigate the properties of a linear polymer performing a stationary rotational motion around a long impenetrable rod. In particular, in the simulations the rotation is induced by a…

We consider a model of an extensible semiflexible filament moving in two dimensions on a motility assay of motor proteins represented explicitly as active harmonic linkers. Their heads bind stochastically to polymer segments within a…

Biological Physics · Physics 2021-08-31 Amir Shee , Nisha Gupta , Abhishek Chaudhuri , Debasish Chaudhuri

We propose and solve a simple model describing secondary structure formation in random hetero-polymers. It describes monomers with a combination of one-dimensional short-range interactions (representing steric forces and hydrogen bonds) and…

Disordered Systems and Neural Networks · Physics 2009-11-07 N. S. Skantzos , J. van Mourik , A. C. C. Coolen

The application of stress to multiphase solid-liquid systems often results in morphological instabilities. Here we propose a solid-solid phase transformation model for roughening instability in the interface between two porous materials…

Materials Science · Physics 2009-11-13 L. Angheluta , E. Jettestuen , J. Mathiesen , F. Renard , B. Jamtveit

The freely rotating chain is one of the classic discrete models of a polymer in dilute solution. It consists of a broken line of N straight segments of fixed length such that the angle between adjacent segments is constant and the N-1…

Probability · Mathematics 2017-11-15 Philip Kilanowski , Peter March , Marko Samara

The paper develops the stiffness relationship between the movements and forces among a system of discrete interacting grains. The approach is similar to that used in structural analysis, but the stiffness matrix of granular material is…

Soft Condensed Matter · Physics 2019-05-01 Matthew R. Kuhn , Florent Prunier , Ali Daouadji

Active polymers possess numerous unique properties that are quite different from those observed in the system of small active molecule due to the intricate interplay between their activity and topological constraints. This study focuses on…

Soft Condensed Matter · Physics 2024-07-09 Jing Li , Bokai Zhang , Zhi-Yong Wang

Lattice model of directed self avoiding walk has been solved analytically to investigate adsorption desorption phase transition behaviour of a semiflexible sequential copolymer chain on a two dimensional impenetrable surface perpendicular…

Statistical Mechanics · Physics 2010-02-23 Pramod Kumar Mishra

We study the partitioning of cosolute particles in a thin film of a semi-flexible polymer network by a combination of coarse-grained (implicit-solvent) stochastic dynamics simulations and mean-field theory. We focus on a wide range of…

Soft Condensed Matter · Physics 2017-08-22 Won Kyu Kim , Arturo Moncho-Jorda , Rafael Roa , Matej Kanduc , Joachim Dzubiella

A coarse-graining strategy for dilute and semi-dilute solutions of interacting polymers, and of colloid polymer mixtures is briefly described. Monomer degrees of freedom are traced out to derive an effective, state dependent pair potential…

Soft Condensed Matter · Physics 2009-11-11 J. -P. Hansen , C. I. Addison , A. A. Louis

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…

A variational framework is developed to examine the equilibrium states of a semi-flexible polymer that is constrained to lie on a fixed surface. As an application the confinement of a closed polymer loop of fixed length $2\pi R$ within a…

Soft Condensed Matter · Physics 2012-02-17 Jemal Guven , Pablo Vázquez-Montejo