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We present Monte Carlo simulations of lattice models of polymers. These simulations are intended to demonstrate the strengths of a powerful new flat histogram algorithm which is obtained by adding microcanonical reweighting techniques to…

Soft Condensed Matter · Physics 2007-05-23 Thomas Prellberg , Jaroslaw Krawczyk , Andrew Rechnitzer

A brief review of our recent studies aiming at a better understanding of the scaling behaviour of polymers in disordered environments is given. The main emphasis is on a simple generic model where the polymers are represented by…

Soft Condensed Matter · Physics 2014-11-19 V. Blavatska , N. Fricke , W. Janke

We present an algorithm for the exhaustive enumeration of all monomer sequences and conformations of short lattice proteins as described by the hydrophobic-polar (HP) model. The algorithm is used for an exact identification of all designing…

Statistical Mechanics · Physics 2009-11-11 Reinhard Schiemann , Michael Bachmann , Wolfhard Janke

We present simulations on a binary blend of bead-spring polymer chains. The introduction of monomer size disparity yields very different relaxation times for each component of the blend. Competition between two different arrest mechanisms,…

Soft Condensed Matter · Physics 2007-05-23 Angel J. Moreno , Juan Colmenero

Synthetic copolymers and biopolymers, such as polypeptides and double-stranded DNA, often exhibit strong variations in bending stiffness along their contour, which can significantly impact conformational behavior at larger scales. To…

Soft Condensed Matter · Physics 2025-11-04 Yannick Witzky , Friederike Schmid , Arash Nikoubashman

Stress relaxation following deformation of an entangled polymeric liquid is thought to be affected by transient reforming of chain entanglements. In this work, we use single molecule techniques to study the relaxation of individual polymers…

Soft Condensed Matter · Physics 2018-07-04 Yuecheng Zhou , Charles M. Schroeder

A lattice model for a symmetrical copolymer "bottle brush" molecule, where two types (A,B) of flexible side chains are grafted with one chain end to a rigid backbone, is studied by a variant of the pruned-enriched Rosenbluth method (PERM),…

Soft Condensed Matter · Physics 2009-11-11 Hsiao-Ping Hsu , Wolfgang Paul , Kurt Binder

In this paper we study a model describing a copolymer in a micro-emulsion. The copolymer consists of a random concatenation of hydrophobic and hydrophilic monomers, the micro-emulsion consists of large blocks of oil and water arranged in a…

Probability · Mathematics 2016-10-03 Frank den Hollander , Nicolas Pétrélis

Conformations of a single semiflexible polymer chain dissolved in a low molecular weight liquid crystalline solvents (nematogens) are examined by using a mean field theory. We takes into account a stiffness and partial orientational…

Soft Condensed Matter · Physics 2009-11-07 Akihiko Matsuyama

The some dynamic properties of a random heteropolymer in the condensed state are studied in the mode coupling approximation. In agreement with recent report a dynamic friction increasing is predicted for the random heteropolymer with…

Disordered Systems and Neural Networks · Physics 2007-05-23 E. Sh. Mamasakhlisov , V. F. Morozov

We consider a general discrete model for heterogeneous semiflexible polymer chains. Both the thermal noise and the inhomogeneous character of the chain (the disorder) are modeled in terms of random rotations. We focus on the quenched…

Probability · Mathematics 2008-12-20 Francesco Caravenna , Giambattista Giacomin , Massimiliano Gubinelli

The scaling behaviour of randomly branched polymers in a good solvent is studied in two to nine dimensions, using as microscopic models lattice animals and lattice trees on simple hypercubic lattices. As a stochastic sampling method we use…

Statistical Mechanics · Physics 2009-11-10 Hsiao-Ping Hsu , Walter Nadler , Peter Grassberger

We have exactly enumerated all sequences and conformations of HP proteins with chains of up to 19 monomers on the simple cubic lattice. For two variants of the hydrophobic-polar (HP) model, where only two types of monomers are…

Biomolecules · Quantitative Biology 2009-11-10 Reinhard Schiemann , Michael Bachmann , Wolfhard Janke

After a general introduction to the field, we describe some recent results concerning disorder effects on both `random walk models', where the random walk is a dynamical process generated by local transition rules, and on `polymer models',…

Disordered Systems and Neural Networks · Physics 2007-05-23 Cecile Monthus

Based on large-scale Monte Carlo simulations on lattice the energy probability distribution functions are investigated for a large set of primary sequences in distinct models of copolymers at low temperatures below transitions to compacted…

Soft Condensed Matter · Physics 2007-05-23 Edward G. Timoshenko , Yuri A. Kuznetsov , Roman N. Basovsky

We perform an exact enumeration study of polymers formed from a (quenched) random sequence of charged monomers $\pm q_0$. Such polymers, known as polyampholytes, are compact when completely neutral and expanded when highly charged. Our…

Condensed Matter · Physics 2009-10-28 Yacov Kantor , Mehran Kardar

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

When the local intrinsic stiffness of a polymer chain varies over a wide range, one can observe both a crossover from rigid-rod-like behavior to (almost) Gaussian random coils and a further crossover towards self-avoiding walks in good…

Soft Condensed Matter · Physics 2015-03-17 Hsiao-Ping Hsu , Wolfgang Paul , Kurt Binder

We study the phase transitions of a random copolymer chain with quenched disorder. We apply a replica variational approach based on a Gaussian trial Hamiltonian in terms of the correlation functions of monomer Fourier coordinates. This…

Disordered Systems and Neural Networks · Physics 2009-10-30 A. Moskalenko , Yu. A. Kuznetsov , K. A. Dawson

In order to understand the nuclei which develop during the course of protein folding and unfolding, we examine phase segregation of a single heteropolymer chain which occurs in equilibrium. These segregated conformations are characterized…

Disordered Systems and Neural Networks · Physics 2009-10-31 Rose Du , Alexander Yu. Grosberg , Toyoichi Tanaka