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Related papers: Excluded Volume in Protein Sidechain Packing

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In simple models side chains are often represented implicitly (e.g., by spin-states) or simplified as one atom. We study side chain effects using square lattice and tetrahedral lattice models, with explicitly side chains of two atoms. We…

Biomolecules · Quantitative Biology 2009-11-10 Jinfeng Zhang , Yu Chen , Rong Chen , Jie Liang

We propose new polymer models for Monte Carlo simulation and apply them to a polymer chain confined in a relatively thin box which has both curved and flat sides, and show that either an ideal or an excluded-volume chain spends more time in…

Soft Condensed Matter · Physics 2007-05-23 Y. Y. Suzuki , T. Dotera , M. Hirabayashi

Motivated by recent nanofluidics experiments, we use Brownian dynamics and Monte Carlo simulations to study the conformation, organization and dynamics of two polymer chains confined to a single box-like cavity. The polymers are modeled as…

Soft Condensed Matter · Physics 2021-05-19 James M. Polson , Desiree A. Rehel

We use Monte Carlo simulations to study polymer melts consisting of fully flexible and moderately stiff chains in the bond fluctuation model at a volume fraction $0.5$. In order to reduce the local density fluctuations, we test a…

Soft Condensed Matter · Physics 2015-06-24 Hsiao-Ping Hsu

Through extensive Monte Carlo simulations, we systematically study the effect of chain stiffness on the packing ability of linear polymers composed of hard spheres in extremely confined monolayers, corresponding effectively to 2D films.…

A number of recent experiments have provided detailed observations of the configurations of long DNA strands under nano-to-micrometer sized confinement. We therefore revisit the problem of an excluded volume polymer chain confined between…

Soft Condensed Matter · Physics 2011-03-23 Debasish Chaudhuri , Bela Mulder

Semiflexible macromolecules in dilute solution under very good solvent conditions are modeled by self-avoiding walks on the simple cubic lattice ($d=3$ dimensions) and square lattice ($d=2$ dimensions), varying chain stiffness by an energy…

Soft Condensed Matter · Physics 2015-05-30 Hsiao-Ping Hsu , Kurt Binder

Two-dimensional semiflexible polymer rings are studied both by imaging circular DNA adsorbed on a mica surface and by Monte Carlo simulations of phantom polymers as well as of polymers with finite thickness. Comparison of size and shape of…

Biomolecules · Quantitative Biology 2010-04-15 Fabian Drube , Karen Alim , Guillaume Witz , Giovanni Dietler , Erwin Frey

We study the statistics of branching polymers with excluded-volume interactions, by modeling them as single self-avoiding trees on a generic regular periodic lattice with coordination number $q$. Each lattice site can be occupied at most by…

Statistical Mechanics · Physics 2025-10-13 Davide Marcato , Achille Giacometti , Amos Maritan , Angelo Rosa

The effect of excluded volume interactions on the structure of a polymer in shear flow is investigated by Brownian Dynamics simulations for chains with size $30\leq N\leq 300$. The main results concern the structure factor $S({\bf q})$ of…

Soft Condensed Matter · Physics 2009-10-31 Carlo Pierleoni , Jean-Paul Ryckaert

The tube model is a central concept in polymer physics, and allows to reduce the complex many-filament problem of an entangled polymer solution to a single filament description. We investigate the probability distribution function of…

Soft Condensed Matter · Physics 2009-08-12 Hauke Hinsch , Erwin Frey

In this paper, the binary random packing fraction of similar particles with size ratios ranging from unity to well over 2 is studied. The classic excluded volume model for spherocylinders and cylinders proposed by Onsager [1] is revisited…

Other Condensed Matter · Physics 2024-06-28 H. J. H. Brouwers

We study the conformations of a self-avoiding polymer confined to a channel by computing the cross-sectional distributions of the positions of its monomers. By means of Monte-Carlo simulations for a self-avoiding, freely-jointed chain we…

Soft Condensed Matter · Physics 2013-11-11 E. Werner , F. Westerlund , J. O. Tegenfeldt , B. Mehlig

In this chapter we review the rich behavior of polymer chains embedded in a quenched random environment. We first consider the problem of a Gaussian chain free to move in a random potential with short-ranged correlations. We derive the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yadin Y. Goldschmidt , Yohannes Shiferaw

We report extensive simulations of the relaxation dynamics of a self-avoiding polymer confined inside a cylindrical pore. In particular, we concentrate on examining how confinement influences the scaling behavior of the global relaxation…

Soft Condensed Matter · Physics 2009-11-13 A. Arnold , B. Bozorgui , D. Frenkel , B. -Y. Ha , S. Jun

Polymer networks formed by cross linking flexible polymer chains are ubiquitous in many natural and synthetic soft-matter systems. Current micromechanics models generally do not account for excluded volume interactions except, for instance,…

Soft Condensed Matter · Physics 2023-06-05 Pratik Khandagale , Timothy Breitzman , Carmel Majidi , Kaushik Dayal

The new method of the mean-field approximation is extended. An approach which enables to estimate some parameters of the transition from the isotropic state of hard sticks to the nematic ordering phase is suggested. An technique of the…

Statistical Mechanics · Physics 2018-02-14 Andrei N. Yakunin

The statistical mechanics of a treelike polymer in a confining volume is relevant to the packaging of the genome in RNA viruses. Making use of the mapping of the grand partition function of this system onto the statistical mechanics of a…

Statistical Mechanics · Physics 2008-04-09 Rouzbeh Ghafouri , Joseph Rudnick , Robijn Bruinsma

In this paper the excluded volume of binary similar hyperparticles with small size difference in D-dimensional Euclidean spaces R2, R3, and R4 is studied using two different statistical geometry approaches. These geometric approaches,…

Soft Condensed Matter · Physics 2026-02-20 H. J. H. Brouwers

Monte Carlo dynamics of the lattice 48 monomers toy protein is interpreted as a random walk in an abstract (discrete) space of conformations. To test the geometry of this space, we examine the return probability $P(T)$, which is the…

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