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We calculate thermodynamic quantities of HP lattice proteins by means of a multicanonical chain growth algorithm that connects the new variants of the Pruned-Enriched Rosenbluth Method (nPERM) and flat histogram sampling of the entire…

Soft Condensed Matter · Physics 2009-11-10 Michael Bachmann , Wolfhard Janke

We study the impact of mutations (changes in amino acid sequence) on the thermodynamics of simple protein-like heteropolymers consisting of N monomers, representing the amino acid sequence. The sequence is designed to fold into its native…

Condensed Matter · Physics 2009-10-30 G. Tiana , R. A. Broglia , H. E. Roman , E. Vigezzi , E. Shakhnovich

There have been separate studies of the polymer collapse transition, where the collapse was induced by two different types of attraction. In each case, the configurations of the polymer were given by the same subset of random walks being…

Statistical Mechanics · Physics 2015-06-17 Andrea Bedini , Aleksander L Owczarek , Thomas Prellberg

Two improved versions of the pruned-enriched-Rosenbluth method (PERM) are proposed and tested on simple models of lattice heteropolymers. Both are found to outperform not only the previous version of PERM, but also all other stochastic…

Statistical Mechanics · Physics 2009-11-07 Hsiao-Ping Hsu , Vishal Mehra , Walter Nadler , Peter Grassberger

The step-growth polymerisation of a mixture of arbitrary-functional monomers is viewed as a time-continuos random graph process with degree bounds that are not necessarily the same for different vertices. The sequence of degree bounds acts…

Combinatorics · Mathematics 2019-08-21 Ivan Kryven

The properties of diluted symmetric A-B diblock copolymers at the interface between A and B homopolymer phases are studied by means of Monte Carlo (MC) simulations of the bond fluctuation model. We calculate segment density profiles as well…

Chemical Physics · Physics 2015-06-26 A. Werner , F. Schmid , K. Binder , M. Mueller

We present a detailed study of the static and dynamic behavior of long semiflexible polymer chains in a melt. Starting from previously obtained fully equilibrated high molecular weight polymer melts [{\it Zhang et al.} ACS Macro Lett. 3,…

Soft Condensed Matter · Physics 2016-05-25 Hsiao-Ping Hsu , Kurt Kremer

We study the energy structure and the transfer of an extra electron or hole along periodic polymers made of $N$ monomers, with a repetition unit made of $P$ monomers, using a Tight-Binding wire model, where a site is a monomer (e.g., in…

Soft Condensed Matter · Physics 2018-09-19 K. Lambropoulos , C. Vantaraki , P. Bilia , M. Mantela , C. Simserides

The phase structure of a homopolymer chain is investigated in terms of a universal theoretical model, designed to describe the infrared limit of slow spatial variations. The effects of chirality are studied and compared with the influence…

Soft Condensed Matter · Physics 2015-12-25 A. Sinelnikova , A. J. Niemi , M. Ulybyshev

We consider a general incompressible finite model protein of size M in its environment, which we represent by a semiflexible copolymer consisting of amino acid residues classified into only two species (H and P, see text) following Lau and…

Statistical Mechanics · Physics 2008-01-16 P. D. Gujrati , Bradley P. Lambeth , Andrea Corsi , Evan Askanazi

Self-assembly of proteins is a biological phenomenon which gives rise to spontaneous formation of amyloid fibrils or polymers. The starting point of this phase, called nucleation exhibits an important variability among replicated…

Biomolecules · Quantitative Biology 2016-03-22 Marie Doumic , Sarah Eugene , Philippe Robert

We systematically explore the self-assembly of semi-flexible polymers in deformable spherical confinement across a wide regime of chain stiffness, contour lengths and packing fractions by means of coarse-grained molecular dynamics…

Soft Condensed Matter · Physics 2021-07-12 Maxime M. C. Tortora , Daniel Jost

In this paper we consider a two-dimensional model of a copolymer consisting of a random concatenation of hydrophilic and hydrophobic monomers, immersed in a micro-emulsion of random droplets of oil and water. The copolymer interacts with…

Probability · Mathematics 2012-04-06 Frank den Hollander , Nicolas Pétrélis

We develop a new analytic approach for the study of lattice heteropolymers, and apply it to copolymers with correlated Markovian sequences. According to our analysis, heteropolymers present three different dense phases depending upon the…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. Mueller , M. Mezard , A. Montanari

While the structure of chromatin has been studied in great detail on length scales below 30 nm, amazingly little is known about the higher-order folding motifs of chromatin in interphase. Recent experiments give evidence that the folding…

Soft Condensed Matter · Physics 2009-02-16 Manfred Bohn , Dieter W. Heermann , Roel van Driel

In this paper we present a method to study the folding structure of a simple model consisting of two kinds of monomers, hydrophobic and hydrophilic. This method has three main steps: an efficient simulation method to bring an open sequence…

Soft Condensed Matter · Physics 2007-05-23 M-T. Kechadi , R. G. Reilly , K. A. Dawson , Yu. A. Kuznetsov , E. G. Timoshenko

In these proceedings, we first summarize some general properties of phase transitions in the presence of quenched disorder, with emphasis on the following points: the need to distinguish typical and averaged correlations, the possible…

Disordered Systems and Neural Networks · Physics 2008-03-12 Cecile Monthus , Thomas Garel

We investigate the crystallization of a single, flexible homopolymer chain using transition path sampling (TPS). The chain consists of N identical spherical monomers evolved according to Langevin dynamics. While neighboring monomers are…

Soft Condensed Matter · Physics 2016-08-17 Christian Leitold , Christoph Dellago

We introduce a two-dimensional lattice model for the description of knotted polymer rings. A polymer configuration is modeled by a closed polygon drawn on the square diagonal lattice, with possible crossings describing pairs of strands of…

Statistical Mechanics · Physics 2007-05-23 Emmanuel Guitter , Enzo Orlandini

We present a new simulation technique to study systems of polymers functionalized by reactive sites that bind/unbind forming reversible linkages. Functionalized polymers feature self-assembly and responsive properties that are unmatched by…

Soft Condensed Matter · Physics 2018-04-18 Bernardo Oyarzún , Bortolo Matteo Mognetti