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We compute lattice correlation functions for the model of critical dense polymers on a semi-infinite cylinder of perimeter $n$. In the lattice loop model, contractible loops have a vanishing fugacity whereas non-contractible loops have a…

Statistical Mechanics · Physics 2019-07-15 Alexi Morin-Duchesne , Jesper Lykke Jacobsen

The Langevin dynamics of a random heteropolymer and its dynamic glass transition are studied using elementary mode coupling theory. Contrary to recent reports using a similar framework, a discontinuous ergodic-nonergodic phase transition is…

Statistical Mechanics · Physics 2009-10-30 Shoji Takada , John J. Portman , Peter G. Wolynes

Stochastic density functional theory is applied to analyze the conductivity of strong two species electrolytes at arbitrary field strengths. The corresponding stochastic equations for the density of the electrolyte species are solved by…

Statistical Mechanics · Physics 2016-05-04 Vincent Démery , David S Dean

We used the Density Functional formalism, in particular the Scaled Particle Theory, applied to a length-polydisperse hard-rectangular fluid to study its phase behavior as a function of the mean particle aspect ratio ($\kappa_0$) and…

Soft Condensed Matter · Physics 2017-05-23 Ariel Diaz-De Armas , Yuri Martinez-Raton

The correlation functions of an arbitrary number of boundary monomers in the system of close-packed dimers on the square lattice are computed exactly in the scaling limit. The equivalence of the 2n-point correlation functions with those of…

Statistical Mechanics · Physics 2008-11-26 Vyatcheslav B. Priezzhev , Philippe Ruelle

We study phase diagrams of a class of doped quantum dimer models on the square lattice with ground-state wave functions whose amplitudes have the form of the Gibbs weights of a classical doped dimer model. In this dimer model, parallel…

Strongly Correlated Electrons · Physics 2007-10-25 Stefanos Papanikolaou , Erik Luijten , Eduardo Fradkin

We study the phase behavior of random heteropolymers (RHPs) with quenched cross-links, a novel polymer class of technological and biological relevance, and show the possible occurrence of freezing with few chain conformations sampled. The…

Statistical Mechanics · Physics 2009-10-31 L. Gutman , E. I. Shakhnovich

The phase diagram of star polymer solutions in a good solvent is obtained over a wide range of densities and arm numbers by Monte Carlo simulations. The effective interaction between the stars is modeled by an ultrasoft pair potential which…

Soft Condensed Matter · Physics 2009-10-31 M. Watzlawek , C. N. Likos , H. Loewen

We consider the model of random sequential adsorption, with depositing objects, as well as those already at the surface, decreasing in size according to a specified time dependence, from a larger initial value to a finite value in the large…

Mathematical Physics · Physics 2010-10-12 Oleksandr Gromenko , Vladimir Privman

To study the localization of random heteropolymers at an interface separating two selective solvents within the model of Garel, Huse, Leibler and Orland, Europhys. Lett. {\bf 8} 9 (1989), we propose an approach based on a disorder-dependent…

Condensed Matter · Physics 2015-06-25 Cecile Monthus

Within the mode-coupling theory for the evolution of structural relaxation in glass-forming systems, it is shown that the correlation functions for density fluctuations for states at A_3- and A_4-glass-transition singularities can be…

Soft Condensed Matter · Physics 2007-05-23 W. Götze , M. Sperl

The Debye-H\"uckel theory describes rigorously the thermal equilibrium of classical Coulomb fluids in the high-temperature $\beta\to 0$ regime ($\beta$ denotes the inverse temperature). It is generally believed that the Debye-H\"uckel…

Statistical Mechanics · Physics 2009-11-13 L. Samaj

Dynamical properties of vulcanized polymer networks are addressed via a Rouse-type model that incorporates the effect of permanent random crosslinks. The incoherent intermediate scattering function is computed in the sol and gel phases, and…

Soft Condensed Matter · Physics 2009-10-30 Kurt Broderix , Paul M. Goldbart , Annette Zippelius

We use the thread model for linear chains of interacting monomers, and the ``polymer reference interaction site model'' (PRISM) formalism to determine the monomer-monomer pair correlation function $h_{mm}(r)$ for dilute and semi-dilute…

Soft Condensed Matter · Physics 2007-05-23 V. Krakoviack , B. Rotenberg , J. -P. Hansen

In recent years, fluorescence correlation spectroscopy has been increasingly applied for the study of polymer dynamics on the nanometer scale. The core idea is to extract, from a measured autocorrelation curve, an effective mean-square…

Chemical Physics · Physics 2015-06-04 Joerg Enderlein

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

This paper leads with a random polymer model in $\Z^2$ having long-range self-repulsive interactions. By comparison with a long range one-dimensional ferromagnetic Ising model we shown that the polymer models we considered here undergo a…

Probability · Mathematics 2014-05-29 Leandro Cioletti , Chang Dorea , Simone Vasconcelos

We study polymer-polymer phase separation in a common good solvent by means of Monte Carlo simulations of the bond-fluctuation model. Below a critical, chain-length dependent concentration, no phase separation occurs. For higher…

Soft Condensed Matter · Physics 2009-11-11 Lei Guo , Erik Luijten

Simulations of nematic-isotropic transition of liquid crystals in two dimensions are performed using an O(2) vector model characterised by non linear nearest neighbour spin interaction governed by the fourth Legendre polynomial $P\_4$. The…

Statistical Mechanics · Physics 2007-05-23 Bertrand Berche , Ricardo Paredes

A systematic study of the properties of particle and charge correlation functions in the two-dimensional Coulomb gas confined to a one-dimensional domain is undertaken. Two versions of this system are considered: one in which the positive…

Condensed Matter · Physics 2009-10-28 A. Alastuey , P. J. Forrester