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Liquid-liquid phase separation (LLPS) is an emerging and universal mechanism for intracellular biomolecule organization, particularly, via the formation of membraneless organelles (MOs). Intrinsically disordered proteins (IDPs) are the main…

Soft Condensed Matter · Physics 2022-09-14 Jianhui Liu , Fariza Zhorabek , Xin Dai , Jinqing Huang , Ying Chau

We have exactly enumerated all sequences and conformations of HP proteins with chains of up to 19 monomers on the simple cubic lattice. For two variants of the hydrophobic-polar (HP) model, where only two types of monomers are…

Biomolecules · Quantitative Biology 2009-11-10 Reinhard Schiemann , Michael Bachmann , Wolfhard Janke

We study a model of "elastic" lattice polymer in which a fixed number of monomers $m$ is hosted by a self-avoiding walk with fluctuating length $l$. We show that the stored length density $\rho_m = 1 - <l>/m$ scales asymptotically for large…

Statistical Mechanics · Physics 2010-06-16 Marco Baiesi , Gerard T. Barkema , Enrico Carlon

We use the lattice model of directed walks to investigate the conformational as well as the adsorption properties of a semiflexible homopolymer chain immersed in a good solvent in two and three dimensions. To account for the stiffness in…

Statistical Mechanics · Physics 2009-11-07 P. K. Mishra , S. Kumar , Y. Singh

We consider a lattice model of a semiflexible homopolymer chain in a bad solvent. Beside the temperature $T$, this model is described by (i) a curvature energy $\varepsilon_h$, representing the stiffness of the chain (ii) a…

Condensed Matter · Physics 2009-10-28 S. Doniach , T. Garel , H. Orland

Mesoscopic structure of the periodically alternating layers of stretched homopolymer chains surrounded by perpendicularly oriented oligomeric tails is studied for the systems with both strong (ionic) and weak (hydrogen) interactions. We…

Soft Condensed Matter · Physics 2009-11-10 A. I. Olemskoi , I. Krakovsky , A. Savelyev

In this paper we present a detailed analytical study of the phase diagram and of the structural properties of a field theoretic model with a short-range attraction and a competing long-range screened repulsion. We provide a full derivation…

Soft Condensed Matter · Physics 2009-11-13 Marco Tarzia , Antonio Coniglio

We study the interplay of intrinsic-electronic and environmental factors on long-range charge transport across molecular chains with up to $N\sim 80$ monomers. We describe the molecular electronic structure of the chain with a tight-binding…

Mesoscale and Nanoscale Physics · Physics 2022-09-21 Francisco Lai Liang , Dvira Segal

The exact grand-canonical solution of a generalized interacting self-avoid walk (ISAW) model, placed on a Husimi lattice built with squares, is presented. In this model, beyond the traditional interaction $\omega_1=e^{\epsilon_1/k_B T}$…

Statistical Mechanics · Physics 2016-03-03 Tiago J. Oliveira

DNA is now firmly established as a versatile and robust platform for achieving synthetic nanostructures. While the folding of single molecules into complex structures is routinely achieved through engineering basepair sequences, much less…

Soft Condensed Matter · Physics 2025-05-15 Soumen De Karmakar , Thomas Speck

We use molecular dynamics simulations to study the static properties of a single linear multiblock copolymer chain under poor solvent conditions varying the block length $N$, the number of blocks $n$, and the solvent quality by variation of…

Soft Condensed Matter · Physics 2015-03-19 N. G. Fytas , P. E. Theodorakis

Loop formation between monomers in the interior of semiflexible chains describes elementary events in biomolecular folding and DNA bending. We calculate analytically the interior distance distribution function for semiflexible chains using…

Soft Condensed Matter · Physics 2009-11-11 Changbong Hyeon , D. Thirumalai

Using Langevin dynamics complemented by Wang-Landau Monte Carlo simulations, we study the phase behavior of single and multiple semiflexible polymer chains in solution under poor-solvent conditions. In the case of a single chain, we obtain…

We propose a model describing the phase behavior of two-component membranes consisting of binary mixtures of electrically charged and neutral lipids. We take into account the structural phase transition (main-transition) of the hydrocarbon…

Soft Condensed Matter · Physics 2016-07-11 Naofumi Shimokawa , Hiroki Himeno , Tsutomu Hamada , Masahiro Takagi , Shigeyuki Komura , David Andelman

We study the localisation of lattice polymer models near a permeable interface in two dimensions. Localisation can arise due to an interaction between the polymer and the interface, and can be altered by a preference for the bulk solvent on…

Statistical Mechanics · Physics 2024-07-24 C J Bradly , N R Beaton , A L Owczarek

We investigate polymers pulled away from an interacting surface, where the force is applied to the untethered endpoint and at an angle $\theta$ to the surface. We use the canonical self-avoiding walk model of polymers and obtain the phase…

Soft Condensed Matter · Physics 2026-03-03 C J Bradly , N R Beaton , A L Owczarek

We analyze the localized phase of a general model of a directed polymer in the proximity of an interface that separates two solvents. Each monomer unit carries a charge, $\omega_n$, that determines the type (attractive or repulsive) and the…

Probability · Mathematics 2007-05-23 G. Giacomin , F. L. Toninelli

We study uniform 3-star polymers with one branch tethered to an attractive surface and another branch pulled by a force away from the surface. Each branch of the 3-star lattice is modelled as a self-avoiding walk on the simple cubic lattice…

Statistical Mechanics · Physics 2019-05-30 C J Bradly , A L Owczarek

Molecular dynamics simulations are used to investigate the conformations of a single polymer chain, represented by the Kremer-Grest bead-spring model, in a solution with a Lennard-Jones liquid as the solvent when the interaction strength…

Soft Condensed Matter · Physics 2021-11-17 Yisheng Huang , Shengfeng Cheng

Applying the contact density chain-growth algorithm to lattice heteropolymers, we identify the conformational transitions of a nongrafted hydrophobic-polar heteropolymer with 103 residues in the vicinity of a polar, a hydrophobic, and a…

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