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The stability of a $\beta$-sheeted conformation and its transition into a random coil are studied with a 2D lattice biopolymer model. At low temperature and low external force, the polymer folds back and forth on itself and forms a…

Soft Condensed Matter · Physics 2007-05-23 Haijun Zhou

We investigate the addition of stiffness to the lattice model of hydrogen-bonded polymers in two and three dimensions. We find that, in contrast to polymers that interact via a homogeneous short-range interaction, the collapse transition is…

Soft Condensed Matter · Physics 2009-11-13 J Krawczyk , AL Owczarek , T Prellberg

We propose an off-lattice model for a self-avoiding homopolymer chain with two different competing attractive interactions, mimicking the hydrophobic effect and the hydrogen bond formation respectively. By means of Monte Carlo simulations,…

Statistical Mechanics · Physics 2009-11-07 Antonio Trovato , Jesper Ferkinghoff-Borg , Mogens H. Jensen

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

Single molecule manipulation techniques reveal that the mechanical resistance of a protein depends on the direction of the applied force. Using a lattice model of polymers, we show that changing the pulling direction leads to different…

Statistical Mechanics · Physics 2009-11-13 Sanjay Kumar , Debaprasad Giri

We introduce a lattice model of protein conformations which is able to reproduce second structures of proteins (alpha--helices and beta--sheets). This model is based on the following two main ideas. First, we model backbone parts of amino…

Soft Condensed Matter · Physics 2012-08-01 S. Albeverio , S. V. Kozyrev

We study the model of a partially directed flexible or semi-flexible homopolymer on a square lattice, subject to an externally applied force, in a direction either parallel to, or perpendicular to the preferred direction. The polymer is…

Statistical Mechanics · Physics 2015-05-19 Pui-Man Lam , Yi Zhen

We investigate a lattice model of polymers where the nearest-neighbour monomer-monomer interaction strengths differ according to whether the local configurations have so-called ``hydrogen-like'' formations or not. If the interaction…

Soft Condensed Matter · Physics 2009-11-13 J Krawczyk , A L Owczarek , T Prellberg

Hydrogen-bond networks govern molecular structure and function across chemistry, biology and materials science, yet their deterministic control at the atomic scale remains a central challenge (1-9).Here, we directly visualize how an…

Materials Science · Physics 2026-04-29 Nassar Doudin , Jian Jiang , Chun Tang , Xiao Cheng Zeng , Mohammed Th. Hassan

A two-dimensional square-lattice model for the formation of secondary structures in proteins, the hydrogen-bonding model, is extended to include the effects of solvent quality. This is achieved by allowing configuration-dependent…

Statistical Mechanics · Physics 2009-11-13 D P Foster , C Pinettes

We present a Bethe approximation to study lattice models of linear polymers. The approach is variational in nature and based on the cluster variation method (CVM). We focus on a model with $(i)$ a nearest neighbor attractive energy…

Statistical Mechanics · Physics 2009-10-31 Stefano Lise , Amos Maritan , Alessandro Pelizzola

The coil-globule transition of hetero-polymer chains is studied here. By means of extensive Molecular Dynamics simulations, we show that the transition is directly linked to the complexity of the chain, which depends on the number of…

Soft Condensed Matter · Physics 2022-09-07 Fabrizio Tafuri , Andrea Maria Chiariello

We define a lattice model for the interaction of a polymer with water. We solve the model in a suitable approximation. In the case of a non-polar homopolymer, for reasonable values of the parameters, the polymer is found in a non-compact…

Statistical Mechanics · Physics 2009-10-31 Pierpaolo Bruscolini , Lapo Casetti

The control of transport properties is a key tool at the basis of many technologically relevant effects in condensed matter. The clean and precisely controlled environment of ultracold atoms in optical lattices allows one to prepare…

Quantum Gases · Physics 2014-12-15 M. Di Liberto , T. Comparin , T. Kock , M. Ölschläger , A. Hemmerich , C. Morais Smith

By means of extensive replica-exchange simulations of generic coarse-grained models for helical polymers, we systematically investigate the structural transitions into all possible helical phases for flexible and semiflexible elastic…

Biological Physics · Physics 2015-09-23 Matthew J. Williams , Michael Bachmann

We consider a model consisting of a self-avoiding polygon occupying a variable density of the sites of a square lattice. A fixed energy is associated with each $90^\circ$-bend of the polygon. We use a grand canonical ensemble, introducing…

Soft Condensed Matter · Physics 2015-05-20 David Aristoff , Charles Radin

We have performed chain-growth simulations of minimalistic hybrid lattice models for polymers interacting with interfaces of attractive solid substrates in order to gain insights into the conformational transitions of the polymers in the…

Soft Condensed Matter · Physics 2011-07-04 Michael Bachmann , Wolfhard Janke

We introduce a novel coarse-grained bead-spring model for flexible polymers to systematically examine the effects of an adjusted bonded potential on the formation and stability of structural macrostates in a thermal environment. The density…

Biological Physics · Physics 2019-02-11 Kai Qi , Benjamin Liewehr , Tomas Koci , Busara Pattanasiri , Matthew J. Williams , Michael Bachmann

Monte Carlo simulations of a Miyazawa-Jernigan lattice-polymer model indicate that, depending on the native's structure geometry, the model exhibits two broad classes of folding mechanisms for two-state folders. Folding to native structures…

Soft Condensed Matter · Physics 2007-05-23 P. F. N. Faisca , M. M. Telo da Gama , R. C. Ball

We present a lattice model for polymer solutions, explicitly incorporating interactions with a bath of solvent and cosolvent molecules. By exploiting the well-known analogy between polymer systems and the $O(n)$-vector spin model in the…

Soft Condensed Matter · Physics 2025-04-21 Davide Marcato , Achille Giacometti , Amos Maritan , Angelo Rosa
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