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Circular double stranded DNA has different topological states which are defined by their linking numbers. Equilibrium distribution of linking numbers can be obtained by closing a linear DNA into a circle by ligase. Using Monte Carlo…

生物大分子 · 定量生物学 2009-05-04 Hu Chen , Yanhui Liu , Zhen Zhou , Lin Hu , Zhong-Can Ou-Yang , Jie Yan

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…

概率论 · 数学 2017-11-15 Philip Kilanowski , Peter March , Marko Samara

Single three dimensional polymers confined to a slab, i.e. to the region between two parallel plane walls, are studied by Monte Carlo simulations. They are described by $N$-step walks on a simple cubic lattice confined to the region $1 \le…

软凝聚态物质 · 物理学 2009-11-10 Hsiao-Ping Hsu , Peter Grassberger

For short DNA molecules in crowded environments, we evaluate macroscopic parameters such as the average end-to-end distance and the twist conformation by tuning the strength of the site specific confinement driven by the crowders. The…

软凝聚态物质 · 物理学 2019-06-14 Marco Zoli

We test the standard model for the length contraction of a bundle of strings under twist, and find deviation that is significantly greater than typically appreciated and that has a different nature at medium and large twist angles. By…

软凝聚态物质 · 物理学 2023-09-19 Jesse M. Hanlan , Gabrielle E. Davis , Douglas J. Durian

The hydrophobic-polar (HP) model represents proteins as binary strings embedded in lattices, with fold quality measured by an energy score. We prove that the optimal fold energy is not monotonic under concatenation for several standard…

组合数学 · 数学 2025-11-11 Bjørn Kjos-Hanssen

We study a model of two polymers confined to a slit with sticky walls. More precisely, we find and analyse the exact solution of two directed friendly walks in such a geometry on the square lattice. We compare the infinite slit limit, in…

统计力学 · 物理学 2015-06-19 Thomas Wong , Aleksander L. Owczarek , Andrew Rechnitzer

We study the behavior of self avoiding polymers in a background of vertically aligned rods that are either frozen into random positions or free to move horizontally. We find that in both cases the polymer chains are highly elongated, with…

软凝聚态物质 · 物理学 2009-11-10 J. M. Deutsch , M. Warkentin

Monte Carlo computer simulations are used to study the segregation behaviour of two polymers under cylindrical confinement. Using a multiple-histogram method, the conformational free energy, F, of the polymers was measured as a function of…

软凝聚态物质 · 物理学 2018-05-24 James M. Polson , Deanna R. -M. Kerry

We present the benchmark of the polynomial expansion Monte Carlo method to a Kondo lattice model with classical localized spins on a geometrically frustrated lattice. The method enables to reduce the calculation amount by using the…

强关联电子 · 物理学 2014-01-24 Hiroaki Ishizuka , Masafumi Udagawa , Yukitoshi Motome

Two-dimensional monodisperse linear polymer chains are known to adopt for sufficiently large chain lengths $N$ and surface fractions $\phi$ compact configurations with fractal perimeters. We show here by means of Monte Carlo simulations of…

软凝聚态物质 · 物理学 2025-08-04 J. P. Wittmer , A. Cavallo , A. Johner

The denaturation transition of circular DNA is studied within a Poland-Scheraga type approach, generalized to account for the fact that the total linking number (LK), which measures the number of windings of one strand around the other, is…

统计力学 · 物理学 2015-06-05 Amir Bar , Alkan Kabakçıoğlu , David Mukamel

We have studied polyacene within the Hubbard model to explore the effect of electron correlations on the Peierls' instability in a system marginally away from one-dimension. We employ the projector quantum Monte Carlo method to obtain…

强关联电子 · 物理学 2009-10-30 Bhargavi Srinivasan , S. Ramasesha

We present an analysis for the ring closure probability of semiflexible polymers within the pure bend Worm Like Chain (WLC) model. The ring closure probability predicted from our analysis can be tested against fluorescent actin cyclization…

软凝聚态物质 · 物理学 2017-03-08 Supurna Sinha , Sebanti Chattopadhyay

Recent measurements of the force versus extension curves in stretched single stranded DNA, under conditions where the hydrogen bonding between complementary bases is inhibited, provide a new handle for the study of self-avoiding effects in…

凝聚态物理 · 物理学 2007-05-23 C. Bouchiat

Experiments using nanofluidic devices have proven effective in characterizing the physical properties of polymers confined to small cavities. Two recent studies using such methods examined the organization and dynamics of two DNA molecules…

软凝聚态物质 · 物理学 2022-12-29 Desiree A. Rehel , James M. Polson

We present a study of site and bond percolation on periodic lattices with (on average) fewer than three nearest neighbors per site. We have studied this issue in two contexts: By simulating oxides with a mixture of 2-coordinated and…

The statistical mechanics of a ribbon polymer made up of two semiflexible chains is studied using both analytical techniques and simulation. The system is found to have a crossover transition at some finite temperature, from a type of short…

软凝聚态物质 · 物理学 2009-10-31 Ramin Golestanian , Tanniemola B. Liverpool

Polymer chains immersed in different solvent molecules exhibit diverse properties due to multiple spatiotemporal scales and complex interactions. Using molecular dynamics simulations, we study the conformational and static properties of…

软凝聚态物质 · 物理学 2024-07-08 Hong-Yao Li , Bokai Zhang , Zhi-Yong Wang

We investigate a model of chaperone-assisted polymer translocation through a nanopore in a membrane. Translocation is driven by irreversible random sequential absorption of chaperone proteins that bind to the polymer on one side of the…

统计力学 · 物理学 2015-05-19 Paul Krapivsky , Kirone Mallick
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