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We study dynamics of a Rouse polymer chain, which diffuses in a three-dimensional space under the constraint that one of its ends, referred to as the slip-link, may move only along a one-dimensional line containing randomly placed,…

统计力学 · 物理学 2007-05-23 S. Nechaev , G. Oshanin , A. Blumen

Long DNA molecules can be mapped by cutting them with restriction enzymes inside a narrow channel. Once cut, the individual fragments thus produced move away from each other due to diffusion and entropic effects. We investigate how long it…

软凝聚态物质 · 物理学 2025-06-11 Hanyang. Wang , Gary W Slater

In this work we study the noise induced effects on the dynamics of short polymers crossing a potential barrier, in the presence of a metastable state. An improved version of the Rouse model for a flexible polymer has been adopted to mimic…

统计力学 · 物理学 2009-11-13 N. Pizzolato , A. Fiasconaro , B. Spagnolo

It has been revealed by mean-field theories and computer simulations that the nature of the collapse transition of a polymer is influenced by its bending stiffness $\epsilon_{\rm b}$. In two dimensions, a recent analytical work demonstrated…

软凝聚态物质 · 物理学 2009-11-13 Jie Zhou , Zhong-Can Ou-Yang , Haijun Zhou

In this paper a lattice model for diffusional transport of particles in the interphase cell nucleus is proposed. Dense networks of chromatin fibers are created by three different methods: randomly distributed, non-interconnected obstacles,…

生物物理 · 物理学 2009-11-13 Annika Wedemeier , Holger Merlitz , Chen-Xu Wu , Jörg Langowski

The densities of states are evaluated for very short chain molecules made up of overlapping monomers, using a model which has previously been shown to produce helical structure. The results of numerical calculations are presented for…

统计力学 · 物理学 2009-11-13 James E. Magee , Leo Lue , Robin A. Curtis

Local chain structure and local environment play an important role in the dynamics of polymer chains in miscible blends. In general, the friction coefficients that describe the segmental dynamics of the two components in a blend differ from…

软凝聚态物质 · 物理学 2009-11-11 Jutta Luettmer-Strathmann , Manjeera Mantina

The motion of active polymers in a porous medium is shown to depend critically on flexibilty, activity and degree of polymerization. For given Peclet number, we observe a transition from localisation to diffusion as the stiffness of the…

软凝聚态物质 · 物理学 2019-07-17 Zahra Mokhtari , Annette Zippelius

Phase separation within polymer networks plays a central role in shaping the structure and mechanics of both synthetic materials and living cells, including the formation of biomolecular condensates within cytoskeletal networks. Previous…

软凝聚态物质 · 物理学 2025-12-01 Takahiro Yokoyama , Yicheng Qiang , David Zwicker , Arash Nikoubashman

The dynamics of compaction of hard cross-shaped pentamers on the 2D square lattice is investigated. The addition of new particles is controlled by diffusive relaxation. It is shown that the filling process terminates at a glassy phase with…

统计力学 · 物理学 2009-10-31 E. Eisenberg , A. Baram

We study an interacting particle system of a finite number of labelled particles on the integer lattice, in which particles have intrinsic masses and left/right jump rates. If a particle is the minimal-label particle at its site when it…

概率论 · 数学 2025-09-11 Mikhail Menshikov , Serguei Popov , Andrew Wade

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…

统计力学 · 物理学 2007-05-23 Emmanuel Guitter , Enzo Orlandini

We have studied the aging effect on the dynamics of unbinding of a double stranded directed polymer in a random medium. By using the Monte Carlo dynamics of a lattice model in two dimensions, for which disorder is known to be relevant, the…

软凝聚态物质 · 物理学 2009-10-30 Somendra M. Bhattacharjee , A. Baumgärtner

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…

无序系统与神经网络 · 物理学 2009-10-31 Rose Du , Alexander Yu. Grosberg , Toyoichi Tanaka

We consider the persistent exclusion process in which a set of persistent random walkers interact via hard-core exclusion on a hypercubic lattice in $d$ dimensions. We work within the ballistic regime whereby particles continue to hop in…

统计力学 · 物理学 2020-11-23 Matthew J. Metson , Martin R. Evans , Richard A. Blythe

We study material transport and permeation through a lamellar stack of multi-component lipid membranes by performing Monte Carlo simulations of a stacked two-dimensional Ising model in presence of permeants. In the model, permeants are…

软凝聚态物质 · 物理学 2017-12-29 Takuma Hoshino , Shigeyuki Komura , David Andelman

The structural arrest of a polymeric suspension might be driven by an increase of the cross--linker concentration, that drives the gel transition, as well as by an increase of the polymer density, that induces a glass transition. These…

Polymers in confined spaces are compressed and have reduced conformational entropy, and will partially or fully escape from confinement if conditions are suitable. This is in particular the case for a polymer grafted in a pore. The escape…

软凝聚态物质 · 物理学 2024-08-05 CJ Bradly , EJ Janse van Rensburg

Macroscopic mechanical properties of polymers are determined by their microscopic molecular chain distribution. Due to randomness of these molecular chains, probability theory has been used to find their micro-states and energy…

统计力学 · 物理学 2023-08-23 Lixiang Yang

This paper studies a polymer chain in the vicinity of a linear interface separating two immiscible solvents. The polymer consists of random monomer types, while the interface carries random charges. Both the monomer types and the charges…

概率论 · 数学 2015-06-05 Frank den Hollander , Alex A. Opoku