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Despite their considerable practical and biological applications, the link between molecular properties, assembly conditions and self-organized structure in confined polymer solutions remains elusive. Here, we explore the lyotropic nematic…

Soft Condensed Matter · Physics 2023-03-21 Maxime M. C. Tortora , Daniel Jost

Conformational phases of a semiflexible off-lattice homopolymer model near an attractive substrate are investigated by means of multicanonical computer simulations. In our polymer-substrate model, nonbonded pairs of monomers as well as…

Computational Physics · Physics 2009-07-20 Monika Möddel , Michael Bachmann , Wolfhard Janke

In this paper we study a two-dimensional directed self-avoiding walk model of a random copolymer in a random emulsion. The copolymer is a random concatenation of monomers of two types, $A$ and $B$, each occurring with density 1/2. The…

Probability · Mathematics 2009-11-13 Frank den Hollander , Nicolas Pétrélis

We show that the problem of describing the conformations of a semiflexible polymer confined to a channel can be mapped onto an exactly solvable model in the so-called extended de Gennes regime. This regime (where the polymer is neither…

Soft Condensed Matter · Physics 2014-12-23 E. Werner , B. Mehlig

The persistence length of semiflexible polymers and one-dimensional fluid membranes is obtained from the renormalization of their bending rigidity. The renormalized bending rigidity is calculated using an exact real-space functional…

Statistical Mechanics · Physics 2012-05-02 Petra Gutjahr , Reinhard Lipowsky , Jan Kierfeld

In a contact density chain-growth study we investigate the solubility-temperature pseudo-phase diagram of a lattice polymer in a cavity with an attractive surface. In addition to the main phases of adsorbed and desorbed conformations we…

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

We present a systematic statistical mechanical analysis of the conformational properties of a stiff polyelectrolyte chain with intrachain attractions that are due to counterion correlations. We show that the mean-field solution corresponds…

Soft Condensed Matter · Physics 2007-05-23 Per Lyngs Hansen , Rudi Podgornik , Daniel Svenšek , V. Adrian Parsegian

The shape of biological shells, such as cell nuclei, membranes, and vesicles, often deviates from a perfect sphere due to an interplay of complex interactions with a myriad of molecular structures. In particular, semiflexible biopolymers…

Soft Condensed Matter · Physics 2025-09-05 Hadiya Abdul Hameed , Jaroslaw Paturej , Aykut Erbas

The conformations of semiflexible (bio)polymers are studied in flow through geometrically structured microchannels. Using mesoscale hydrodynamics simulations, we show that the polymer undergoes a rod-to-helix transition as it moves from the…

Soft Condensed Matter · Physics 2012-10-24 Raghunath Chelakkot , Roland G. Winkler , Gerhard Gompper

The torsional dynamics of a semiflexible polymer with a contour length $L$ larger than its persistence length L_p that is rotated at fixed frequency omega_0 at one end is studied by scaling arguments and hydrodynamic simulations. We find a…

Soft Condensed Matter · Physics 2015-05-14 Hirofumi Wada , Roland R. Netz

We present a pedagogical review of the swelling thermodynamics and phase transitions of polymer gels. In particular, we discuss how features of the volume phase transition of the gel's osmotic equilibrium is analogous to other transitions…

Soft Condensed Matter · Physics 2019-06-13 Michael S. Dimitriyev , Ya-Wen Chang , Paul M. Goldbart , Alberto Fernández-Nieves

We study polymers attached to spherical (circular) or paraboloidal (parabolic) probes in three (two) dimensions. Both self-avoiding and random walks are examined numerically. The behavior of a polymer of size $R_0$ attached to the tip of a…

Statistical Mechanics · Physics 2015-05-14 Roy Bubis , Yacov Kantor , Mehran Kardar

In order to study long chain polymers many lattice models accommodate a pulling force applied to a particular part of the chain, often a free endpoint. This is in addition to well-studied features such as energetic interaction between the…

Statistical Mechanics · Physics 2023-07-19 C. J. Bradly , A. L. Owczarek

Semiflexible polymer models are widely used as a paradigm to understand structural phases in biomolecules including folding of proteins. Since stable knots are not so common in real proteins, the existence of stable knots in semiflexible…

Soft Condensed Matter · Physics 2021-07-14 Suman Majumder , Martin Marenz , Subhajit Paul , Wolfhard Janke

This thesis is developed in the context of the spin-foam approach to quantum gravity; all results are concerned with the Lorentzian theory and with semiclassical methods. A correspondence is given between Majorana 2-spinors and time-like…

General Relativity and Quantum Cosmology · Physics 2024-06-12 José Diogo Simão

Single partially confined collapsed polymers are studied in two dimensions. They are described by self-avoiding random walks with nearest-neighbour attractions below the $\Theta$-point, on the surface of an infinitely long cylinder. For the…

Statistical Mechanics · Physics 2009-11-07 Hsiao-Ping Hsu , Peter Grassberger

Chiral polymers are ubiquitous in nature and in the cellular context they are often found in association with membranes. Here we show that surface bound polymers with an intrinsic twist and anisotropic bending stiffness can exhibit a sharp…

Soft Condensed Matter · Physics 2016-04-26 David A. Quint , Ajay Gopinathan , Gregory M. Grason

We study numerically a lattice model of semiflexible homopolymers with nearest neighbor attraction and energetic preference for straight joints between bonded monomers. For this we use a new algorithm, the "Pruned-Enriched Rosenbluth…

Statistical Mechanics · Physics 2009-10-30 Ugo Bastolla , Peter Grassberger

The shape assumed by a slender elastic structure is a function both of the geometry of the space in which it exists and the forces it experiences. We explore by experiments and theoretical analysis, the morphological phase-space of a…

Soft Condensed Matter · Physics 2023-12-11 S Ganga Prasath , Joel Marthelot , Rama Govindarajan , Narayanan Menon

We study the conformational properties of polymers in presence of extended columnar defects of parallel orientation. Two classes of macromolecules are considered: the so-called partially directed polymers with preferred orientation along…

Soft Condensed Matter · Physics 2015-10-28 K. Haydukivska , V. Blavatska
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