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Related papers: Shape Phase Transition of Polyampholytes in Two Di…

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Spatial configurations of randomly charged polymers, known as polyampholytes (PAs), are very sensitive to the overall excess charge Q. Analytical arguments, supported by Monte Carlo simulations and exact enumeration studies, lead to the…

Condensed Matter · Physics 2007-11-28 Yacov Kantor , Mehran Kardar

We consider polymers formed from a (quenched) random sequence of charged monomers of opposite signs. Such polymers, known as polyampholytes (PAs), are compact when completely neutral and expanded when highly charged. We examine the…

Condensed Matter · Physics 2009-10-22 Yacov Kantor , Mehran Kardar

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…

Soft Condensed Matter · Physics 2009-11-13 Jie Zhou , Zhong-Can Ou-Yang , Haijun Zhou

Using exact enumeration methods and Monte Carlo simulations we study the phase diagram relative to the conformational transitions of a two dimensional diblock copolymer. The polymer is made of two homogeneous strands of monomers of…

Statistical Mechanics · Physics 2009-10-31 Marco Baiesi , Enrico Carlon , Enzo Orlandini , Attilio L. Stella

The nature of the globule-coil transition of surface-confined polymers has been an issue of debate. Here this 2D collapse transition is studied through a partially directed lattice model. In the general case of polymers with positive…

Soft Condensed Matter · Physics 2007-05-23 Haijun Zhou , Jie Zhou , Zhong-Can Ou-Yang , Sanjay Kumar

We perform an exact enumeration study of polymers formed from a (quenched) random sequence of charged monomers $\pm q_0$. Such polymers, known as polyampholytes, are compact when completely neutral and expanded when highly charged. Our…

Condensed Matter · Physics 2009-10-28 Yacov Kantor , Mehran Kardar

We consider the model for the distribution of a long homopolymer in a potential field. The typical shape of the polymer depends on the temperature parameter. We show that at a critical value of the temperature the transition occurs from a…

Probability · Mathematics 2009-02-18 M. Cranston , L. Koralov , S. Molchanov , B. Vainberg

We investigate a lattice model of polymers where the nearest-neighbour monomer-monomer interaction strengths differ according to whether the local configurations have so-called ``hydrogen-like'' formations or not. If the interaction…

Soft Condensed Matter · Physics 2009-11-13 J Krawczyk , A L Owczarek , T Prellberg

The metric of two-dimensional quantum gravity interacting with conformal matter is believed to collapse to a branched polymer metric when the central charge c>1. We show analytically that the spectral dimension of such a branched polymer…

High Energy Physics - Lattice · Physics 2009-10-30 Thordur Jonsson , John F. Wheater

We use complete enumeration and Monte Carlo techniques to study two-dimensional self-avoiding polymer chains with quenched ``charges'' $\pm 1$. The interaction of charges at neighboring lattice sites is described by $q_i q_j$. We find that…

Soft Condensed Matter · Physics 2009-10-30 Ido Golding , Yacov Kantor

We study pressurised self-avoiding ring polymers in two dimensions using Monte Carlo simulations, scaling arguments and Flory-type theories, through models which generalise the model of Leibler, Singh and Fisher [Phys. Rev. Lett. Vol. 59,…

Statistical Mechanics · Physics 2011-05-12 Mithun K. Mitra , Gautam I. Menon , R. Rajesh

A linear copolymer made of two reciprocally attracting N-monomer blocks collapses to a compact phase through a novel transition, whose exponents are determined with extensive MC simulations in two and three dimensions. In the former case,…

Soft Condensed Matter · Physics 2009-10-31 E. Orlandini , F. Seno , A. L. Stella

We investigate the conformations of a semiflexible polymer confined to a square box. Results of Monte Carlo simulations show the existence of a shape transition when the persistence length of the polymer becomes comparable to the dimensions…

Soft Condensed Matter · Physics 2008-06-19 Y. Liu , B. Chakraborty

Long linear polymers in dilute solutions are known to undergo a collapse transition from a random coil (expand itself) to a compact ball (fold itself up) when the temperature is lowered, or the solvent quality deteriorates. A natural model…

Probability · Mathematics 2015-06-12 Gia Bao Nguyen , Nicolas Petrelis

The thermodynamic behavior of collapse transition in a fully flexible coarse-grained model of energy polydisperse polymer (EPP), a statistical model of random heteropolymer, is investigated in an implicit solvent by means of molecular…

Soft Condensed Matter · Physics 2025-03-04 Thoudam Vilip Singh , Lenin S. Shagolsem

We explore the critical behaviour of two and three dimensional lattice models of polymers in dilute solution where the monomers carry a magnetic moment which interacts ferromagnetically with near-neighbour monomers. Specifically, the model…

Statistical Mechanics · Physics 2021-08-25 Damien Paul Foster , Debjyoti Majumdar

We report dynamic Monte Carlo simulation on conformational transition of H-shaped branched polymers by varying main chain (backbone) and side chain (branch) length. H-shaped polymers in comparison with equivalent linear polymers exhibit a…

Soft Condensed Matter · Physics 2015-06-17 Ashok Kumar Dasmahapatra , Venkata Mahanth Sanka

A system with equal number of positive and negative charges confined in a box with a small but finite thickness is modeled as a function of temperature using mesoscale numerical simulations, for various values of the charges. The Coulomb…

Soft Condensed Matter · Physics 2023-01-09 A. Gama Goicochea , Z. Nussinov

We report here a study of reversible pressure-induced structural transformation between two amorphous forms of SO$_2$: molecular at pressures below 26 GPa and polymeric above this pressure, at temperatures of 77 - 300 K. The transformation…

Polyampholytes (PA) are charged polymers composed of positively and negatively charged monomers along their backbone. The sequence of the charged monomers and the bending of the chain significantly influence the conformation and dynamical…

Soft Condensed Matter · Physics 2024-08-29 Rakesh Palariya , Sunil P. Singh
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