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We study the nonequilibrium kinetics during the coil-globule transition of a flexible polymer chain with active beads after a quench from good to poor solvent condition using molecular dynamics simulation. Activity for each bead is…

Soft Condensed Matter · Physics 2022-04-13 Subhajit Paul , Suman Majumder , Wolfhard Janke

We study directed polymers subject to a quenched random potential in d transversal dimensions. This system is closely related to the Kardar-Parisi-Zhang equation of nonlinear stochastic growth. By a careful analysis of the perturbation…

Condensed Matter · Physics 2009-10-28 Ralf Bundschuh , Michael Lassig

The thermodynamic properties of strongly correlated system with binary type of disorder are investigated using the combination of the coherent potential approximation and dynamical mean-field theory. The specific heat has a peak at small…

Strongly Correlated Electrons · Physics 2015-01-09 Alexander I. Poteryaev , Sergey V. Skornyakov , Alexander S. Belozerov , Vladimir I. Anisimov

Structural, thermal, resistive and magnetic properties of melt quenched Bi 0.88 Sb 0.12 alloys are reported. The samples are heated at three different temperatures, followed by rapid quenching in liquid nitrogen. Large temperature…

Materials Science · Physics 2015-12-21 K. Malik , Diptasikha Das , S. K. Neogi , A. K. Deb , Arup Dasgupta , S. Bandyopadhyay , Aritra Banerjee

We consider a general discrete model for heterogeneous semiflexible polymer chains. Both the thermal noise and the inhomogeneous character of the chain (the disorder) are modeled in terms of random rotations. We focus on the quenched…

Probability · Mathematics 2008-12-20 Francesco Caravenna , Giambattista Giacomin , Massimiliano Gubinelli

We study the thermodynamic behavior of branched polymers. We first study random walks in order to clarify the thermodynamic relation between the canonical ensemble and the grand canonical ensemble. We then show that correlation functions…

High Energy Physics - Theory · Physics 2009-10-31 Hajime Aoki , Satoshi Iso , Hikaru Kawai , Yoshihisa Kitazawa

We study numerically the geometrical and free-energy fluctuations of a static one-dimensional (1D) interface with a short-range elasticity, submitted to a quenched random-bond Gaussian disorder of finite correlation length $\xi>0$, and at…

Disordered Systems and Neural Networks · Physics 2013-07-30 Elisabeth Agoritsas , Vivien Lecomte , Thierry Giamarchi

We study the Directed Polymer model subject to a particular form of disorder, $\eta(x,t)=\eta_X(x) \eta_T(t)$, recently proposed in biological applications. We find that two new universality classes arise, depending on the the lattice…

Statistical Mechanics · Physics 2009-10-31 Paolo De Los Rios , Yi-Cheng Zhang

We propose a model with a quantized degree of freedom to study the heat transport in quasi-one dimensional system. Our simulations reveal three distinct temperature regimes. In particular, the intermediate regime is characterized by heat…

Disordered Systems and Neural Networks · Physics 2009-11-11 Jun-Wen Mao , You-Quan Li

The classical Heisenberg model is one of the most fundamental models in statistical and condensed matter physics. Extensive theoretical and numerical studies suggest that, in two dimensions, this model does not exhibit a finite-temperature…

Statistical Mechanics · Physics 2025-11-14 Dingyun Yao , Chao Zhang , Z. Y. Xie , Zhijie Fan , Youjin Deng

We analyze a (1+1)-dimension directed random walk model of a polymer dipped in a medium constituted by two immiscible solvents separated by a flat interface. The polymer chain is heterogeneous in the sense that a single monomer may…

Probability · Mathematics 2007-05-23 Erwin Bolthausen , Giambattista Giacomin

Long linear polymers in a depinned interfaces environment have been studied for a long time, for instance in \cite{Caravenna2009depinning} when the temperature is constant. In this paper, we study an extension of this model by making the…

Probability · Mathematics 2024-10-10 Angot Elric

We study the adsorption-desorption phase transition of directed branched polymer in $d+1$ dimensions in contact with a line by mapping it to a $d$ dimensional hard core lattice gas at negative activity. We solve the model exactly in 1+1…

Statistical Mechanics · Physics 2009-11-10 Sumedha

The stability of a $\beta$-sheeted conformation and its transition into a random coil are studied with a 2D lattice biopolymer model. At low temperature and low external force, the polymer folds back and forth on itself and forms a…

Soft Condensed Matter · Physics 2007-05-23 Haijun Zhou

We use a generalization of Hoeffding's inequality to show concentration results for the free energy of disordered pinning models, assuming only that the disorder has a finite exponential moment. We also prove some concentration inequalities…

Probability · Mathematics 2012-06-15 Frederique Watbled

We analyze static properties of a strongly confined semiflexible polymer, i.e. either trapped in a closed space or compressed by external forces, in an athermal solvent. Like a flexible polymer case, we can resort to an analogy with the…

Soft Condensed Matter · Physics 2009-11-13 Takahiro Sakaue

In earlier work we provided the first evidence that the collapse, or coil-globule, transition of an isolated polymer in solution can be seen in a four-dimensional model. Here we investigate, via Monte Carlo simulations, the canonical…

Statistical Mechanics · Physics 2009-10-31 T. Prellberg , 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 energy relaxation in a phenomenological model for polymer built from rheological considerations: a one dimensional nonlinear lattice with dissipative couplings. These couplings are well known in polymer's community to be possibly…

Statistical Mechanics · Physics 2009-11-07 F. Gobet , S. Ciliberto , T. Dauxois

The kinetic behavior of a three-dimensional off-lattice heteropolymer model is studied in terms of the time dependence of the average mean-square displacement between configurations. It is found that at short time-scales similar behavior is…

Soft Condensed Matter · Physics 2008-02-03 O. Sommelius