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Joint ground states of two directed polymers in a random medium are investigated. Using exact min-cost flow optimization the true two-line ground-state is compared with the single line ground state plus its first excited state. It is found…

Disordered Systems and Neural Networks · Physics 2009-10-31 V. T. Petaja , M. J. Alava , H. Rieger

A phase diagram for a surface-interacting long flexible polymer chain in a two-dimensional poor solvent where the possibility of collapse exists is determined using exact enumeration method. A model of a self-attracting self avoiding walk…

Statistical Mechanics · Physics 2007-05-23 Yashwant Singh , Debaprasad Giri , Sanjay Kumar

When non-adsorbing polymers are added to an isotropic suspension of rod-like colloids, the colloids effectively attract each other via depletion forces. We performed Monte Carlo simulations to study the phase diagram of such rod-polymer…

Soft Condensed Matter · Physics 2009-11-13 S. Jungblut , R. Tuinier , K. Binder , T. Schilling

The phase structure of self-avoiding polymerized membranes is studied by extensive Hybrid Monte Carlo simulations. Several folding transitions from the flat to a collapsed state are found. Using a suitable order parameter and finite size…

Condensed Matter · Physics 2009-10-28 Christian Münkel , Dieter W. Heermann

We use numerical simulations to examine two-dimensional particle mixtures that strongly phase separate in equilibrium. When the system is externally driven in the presence of quenched disorder, plastic flow occurs in the form of meandering…

Statistical Mechanics · Physics 2009-11-13 A. Libal , C. Reichhardt , C. J. Olson Reichhardt

We explore the effect of an attractive interaction between parallel-aligned polymers, which are perpendicularly grafted on a substrate. Such an attractive interaction could be due to, e.g., reversible cross-links. The competition between…

Soft Condensed Matter · Physics 2013-10-08 Panayotis Benetatos , Eugene M. Terentjev , Annette Zippelius

We study an ensemble of branched polymers which are embedded on other branched polymers. This is a toy model which allows us to study explicitly the reaction of a statistical system on an underlying geometrical structure, a problem of…

High Energy Physics - Theory · Physics 2015-06-26 Bergfinnur Durhuus , Thordur Jonsson

We theoretically investigate the kinetics of the folding transition of a single semiflexible polymer. In the folding transition, the growth rate decrease with an increase in the number of monomers in a collapsed domain, suggesting that the…

Soft Condensed Matter · Physics 2009-11-13 Natsuhiko Yoshinaga

The exact solution of directed self-avoiding walks confined to a slit of finite width and interacting with the walls of the slit via an attractive potential has been calculated recently. The walks can be considered to model the…

Statistical Mechanics · Physics 2009-11-13 A. L. Owczarek , T. Prellberg , A. Rechnitzer

We study how the thermodynamic properties of the Triangular Plaquette Model (TPM) are influenced by the addition of extra interactions. The thermodynamics of the original TPM is trivial, while its dynamics is glassy, as usual in Kinetically…

Disordered Systems and Neural Networks · Physics 2016-03-23 Silvio Franz , Giacomo Gradenigo , Stefano Spigler

Interacting lattice bosons at integer filling can support two distinct insulating phases, which are separated by a critical point: the Mott insulator and the Haldane insulator[Phys. Rev. Lett. 97, 260401 (2006)]. The critical point can be…

Strongly Correlated Electrons · Physics 2011-03-29 Erez Berg , Michael Levin , Ehud Altman

We provide an introductory account of a tricritical phase diagram, in the setting of a mean-field random walk model of a polymer density transition, and clarify the nature of the density transition in this context. We consider a…

Mathematical Physics · Physics 2020-11-25 Roland Bauerschmidt , Gordon Slade

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

In this work we present the general phase behavior of short tubelike flexible polymers. The geometric thickness constraint is implemented through the concept of the global radius of curvature. We use sophisticated Monte Carlo sampling…

Soft Condensed Matter · Physics 2009-07-20 Thomas Vogel , Thomas Neuhaus , Michael Bachmann , Wolfhard Janke

Colloid-polymer mixtures may undergo either fluid-fluid phase separation or gelation. This depends on the depth of the quench (polymer concentration) and polymer-colloid size ratio. We present a real-space study of dynamics in phase…

Soft Condensed Matter · Physics 2012-09-19 Isla Zhang , C. Patrick Royall , Paul Bartlett , Malcolm A. Faers

We study the entanglement properties of the one-dimensional dimerized Fermi-Hubbard model. Using a matrix-product-state approach, we compute the ground state and identify two insulating phases at 1/2- and 3/4-filling, along with a metallic…

Strongly Correlated Electrons · Physics 2026-02-25 Min-Chul Cha , Hoon Beom Kwon , Ji-Woo Lee , Myung-Hoon Chung

The self-avoid random walk algorithm has been extensively used in the study of polymers. In this work we study the basic properties of the trajectories generated with this algorithm when two interactions are added to it: contact and folding…

Soft Condensed Matter · Physics 2023-04-14 R. J. Santos Neto , A. A. Costa , P. F. Gomes

We analyze the freezing and collapse transition of a simple model for flexible polymer chains on simple cubic and face-centered cubic lattices by means of sophisticated chain-growth methods. In contrast to bond-fluctuation polymer models in…

Soft Condensed Matter · Physics 2009-02-16 Thomas Vogel , Michael Bachmann , Wolfhard Janke

We consider a model for a polymer interacting with an attractive wall through a random sequence of charges. We focus on the so-called diluted limit, when the charges are very rare but have strong intensity. In this regime, we determine the…

Probability · Mathematics 2008-07-26 Erwin Bolthausen , Francesco Caravenna , Béatrice de Tilière

This article studies the fundamental problem of separating two adhesive elastic fibers based on numerical simulation employing a recently developed finite element model for molecular interactions between curved slender fibers. Specifically,…

Computational Engineering, Finance, and Science · Computer Science 2019-08-01 Maximilian J. Grill , Christoph Meier , Wolfgang A. Wall