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Related papers: An infinitely long flexible polymer chain in betwe…

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We consider the escape of a flexible, self-avoiding polymer chain out of a confined geometry. By means of simulations, we demonstrate that the translocation time can be described by a simple scaling law that exhibits a nonlinear dependence…

Soft Condensed Matter · Physics 2009-11-11 Angelo Cacciuto , Erik Luijten

Analytical relations for the mechanical response of single polymer chains are valuable for modeling purposes, on both the molecular and the continuum scale. These relations can be obtained using statistical thermodynamics and an idealized…

Statistical Mechanics · Physics 2023-10-02 Michael R. Buche , Meredith N. Silberstein , Scott J. Grutzik

Polymer systems in slab geometries are studied on the basis of the recently presented Gaussian Ellipsoid Model [J. Chem. Phys. 114, 7655 (2001)].The potential of the confining walls has an exponential shape. For homogeneous systems in…

Soft Condensed Matter · Physics 2009-11-07 F. Eurich , P. Maass , J. Baschnagel

We revisit the classical problem of the behavior of an isolated linear polymer chain in confined spaces, introducing the distinction between two different confinement regimes (the {\it weak} and the {\it strong} confinement regimes,…

Soft Condensed Matter · Physics 2009-11-11 Takahiro Sakaue , Elie Raphael

We study a model of a semiflexible long chain polymer confined to a two-dimensional slit of width $w$, and interacting with the walls of the slit. The interactions with the walls are controlled by Boltzmann weights $a$ and $b$, and the…

Statistical Mechanics · Physics 2019-12-03 Nicholas R. Beaton , Leo Li , Jonathon Liu , Thomas Wong

We analyze the crystallization and collapse transition of a simple model for flexible polymer chains on simple cubic and face-centered cubic lattices by means of sophisticated chain-growth methods. In contrast to bond-fluctuation polymer…

Soft Condensed Matter · Physics 2009-11-13 Thomas Vogel , Michael Bachmann , Wolfhard Janke

The conformational and electronic properties of conducting flexible random and self-avoiding walk polymer chains are under investigation. A Hamiltonian for conjugated flexible polymers is introduced and its physical consequences are…

Condensed Matter · Physics 2009-10-22 M. Otto , T. A. Vilgis

We explore the transport features of a single flexible polymer chain that walks on a periodic ratchet potential coupled with spatially varying temperature. At steady state the polymer exhibits a fast unidirectional motion where the…

Soft Condensed Matter · Physics 2015-07-20 Mesfin Asfaw Taye

We perform a numerical study of a new microcanonical polymer model on the three dimensional cubic lattice, consisting of ideal chains whose range and number of nearest-neighbor contacts are fixed to given values. Our simulations suggest an…

Statistical Mechanics · Physics 2025-07-09 Simone Franchini , Riccardo Balzan

Single two dimensional polymers confined to a strip are studied by Monte Carlo simulations. They are described by N-step self-avoiding random walks on a square lattice between two parallel hard walls with distance 1 << D << N^\nu (\nu = 3/4…

Soft Condensed Matter · Physics 2007-05-23 Hsiao-Ping Hsu , Peter Grassberger

Lattice model of directed self avoiding walk has been solved analytically to investigate adsorption desorption phase transition behaviour of a semiflexible sequential copolymer chain on a two dimensional impenetrable surface perpendicular…

Statistical Mechanics · Physics 2010-02-23 Pramod Kumar Mishra

Lattice-field calculations are performed on a Gaussian polymer chain confined to move within the region defined by two fused spheres. The results of the calculations are in accord with recent experimental measurements and computer…

Condensed Matter · Physics 2009-10-31 S. Tsonchev , R. D. Coalson

Nano-scale confinement of polymer in cone-shaped geometries occurs in many experimental situations. A flexible polymer confined in a cone-shaped nano-channel is studied theoretically and using molecular dynamics simulations. Distribution of…

Soft Condensed Matter · Physics 2016-02-24 Narges Nikoofard , Hossein Fazli

We obtain the entropy of flexible linear chains composed of M monomers placed on the square lattice using a transfer matrix approach. An excluded volume interaction is included by considering the chains to be self-and mutually avoiding, and…

Statistical Mechanics · Physics 2009-11-07 W. G. Dantas , J. F. Stilck

We consider a stiff polymer chain in poor solvent and apply a force at one end of the chain. We find that by varying the stiffness parameter, polymer undergoes a transition from the globule state to the folded like state. The conformation…

Soft Condensed Matter · Physics 2015-05-13 Sanjay Kumar , Debaprasad Giri

We study self-avoiding walks on the square lattice restricted to a square box of side $L$ weighted by a length fugacity without restriction of their end points. This models a confined polymer in dilute solution. The model admits a phase…

Statistical Mechanics · Physics 2022-07-22 C. J. Bradly , A. L. Owczarek

We study equilibrium statistics of single semi-flexible polymer chain in the presence of defects. The defects are lying along a line in the two and three dimensions and the monomers are interacting with the onsite potential of the defects.…

Soft Condensed Matter · Physics 2020-09-21 Pramod Kumar Mishra

In this brief report, we revisit analytical calculation [Mishra, {\it et al.}, Physica A {\bf 323} (2003) 453 and Mishra, NewYork Sci. J. {\bf{3(1)}} (2010) 32.] of the persistent length of a semiflexible homopolymer chain in %the extremely…

Statistical Mechanics · Physics 2013-06-27 Pramod Kumar Mishra

We analyze the interaction of two conducting, charged polymer chains in solution using a minimal model for their electronic degrees of freedom. We show that a crossing of the two chains in which the polymers pass within Angstroms of each…

Soft Condensed Matter · Physics 2009-11-10 Jeremy D. Schmit , Alex J. Levine

The longitudinal response of single semiflexible polymers to sudden changes in externally applied forces is known to be controlled by the propagation and relaxation of backbone tension. Under many experimental circumstances, realized, e.g.,…

Soft Condensed Matter · Physics 2011-02-25 Florian Thüroff , Benedikt Obermayer , Erwin Frey