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To study the cooling behavior and the glass transition of polymer melts in bulk and with free surfaces a coarse-grained weakly semi-flexible polymer model is developed. Based on a standard bead spring model with purely repulsive…

Soft Condensed Matter · Physics 2019-09-09 Hsiao-Ping Hsu , Kurt Kremer

In this paper, we consider the $\lambda$-model with nearest neighbor interactions and with competing Potts interactions on the Cayley tree of order-two. We notice that if $\lambda$-function is taken as a Potts interaction function, then…

Mathematical Physics · Physics 2020-05-20 Farrukh Mukhamedov , Chin Hee Pah , Hakim Jamil , Muzaffar Rahmatullaev

Using a combination of the replica-exchange Monte Carlo algorithm and the multicanonical method, we investigate the influence of bending stiffness on the conformational phases of a bead-stick homopolymer model and present the pseudo-phase…

Soft Condensed Matter · Physics 2016-03-30 Martin Marenz , Wolfhard Janke

Since its introduction, the Potts model has gained widespread popularity across various fields due to its diverse applications. Even minor advancements in this model continue to captivate scientists worldwide, and small modifications often…

Mathematical Physics · Physics 2025-04-25 Hasan Akin

We propose a simple friction model for isolated polymer chains on a solid substrate. The chains are pulled at constant velocity by one end, the other end can be trapped on the solid substrate on localised sites. We focus on the energy…

Soft Condensed Matter · Physics 2009-10-31 T. Charitat , J. F. Joanny

Associative polymer networks have shown a major promise in fabrication of self-healing and responsive materials. The can also serve as simple models to study more complex biological systems where transient interactions play an important…

Soft Condensed Matter · Physics 2023-12-15 Zuzanna M. Jedlinska , Robert A. Riggleman

The conformational behavior of a coarse-grained finite polymer chain near an attractive spherical surface was investigated by means of multicanonical Monte Carlo computer simulations. In a detailed analysis of canonical equilibrium data…

Soft Condensed Matter · Physics 2018-01-03 Handan Arkin , Wolfhard Janke

The dynamical properties of entangled polymers originate from the dynamic constraints due to the uncrossability between polymer chains. We propose a highly coarse-grained simulation model with transient bonds for such dynamically…

Soft Condensed Matter · Physics 2019-01-10 Takashi Uneyama

The Potts model with invisible states was introduced to explain discrepancies between theoretical predictions and experimental observations of phase transitions in some systems where $Z_q$ symmetry is spontaneously broken. It differs from…

Statistical Mechanics · Physics 2023-05-24 Mariana Krasnytska , Petro Sarkanych , Bertrand Berche , Yurij Holovatch , Ralph Kenna

We study using Monte Carlo simulations the finite-size scaling behavior of the interfacial adsorption of the two-dimensional square-lattice $q$-states Potts model. We consider the pure and random-bond versions of the Potts model for $q =…

Statistical Mechanics · Physics 2017-03-16 Nikolaos G. Fytas , Panagiotis E. Theodorakis , Anastasios Malakis

A phase diagram for a surface interacting long flexible partially directed polymer chain in a two-dimensional poor solvent where the possibility of collapse in the bulk exists is determined using exact enumeration method. We used a model of…

Statistical Mechanics · Physics 2020-12-29 Pramod K Mishra , Yashwant Singh

Micropatterned substrates are often used to standardize cell experiments and to quantitatively study the relation between cell shape and function. Moreover, they are increasingly used in combination with traction force microscopy on soft…

Cell Behavior · Quantitative Biology 2015-06-19 Philipp J. Albert , Ulrich S. Schwarz

Semiflexible polymer models are widely used as a paradigm to understand structural phases in biomolecules including folding of proteins. Since stable knots are not so common in real proteins, the existence of stable knots in semiflexible…

Soft Condensed Matter · Physics 2021-07-14 Suman Majumder , Martin Marenz , Subhajit Paul , Wolfhard Janke

We study the model of a partially directed flexible or semi-flexible homopolymer on a square lattice, subject to an externally applied force, in a direction either parallel to, or perpendicular to the preferred direction. The polymer is…

Statistical Mechanics · Physics 2015-05-19 Pui-Man Lam , Yi Zhen

We study a model describing some aspects of the dynamics of biopolymers. The models involve either one or two finite chains with a number N of sites that represent the "units" of a biophysical system. The mechanical degrees of freedom of…

Condensed Matter · Physics 2007-05-23 Betti Hartmann , Wojtek J. Zakrzewski

In this work we study the assisted translocation of a polymer across a membrane nanopore, inside which a molecular motor exerts a force fuelled by the hydrolysis of ATP molecules. In our model the motor switches to its active state for a…

Soft Condensed Matter · Physics 2018-03-26 A. Fiasconaro , J. J. Mazo , F. Falo

A spacially extended model of the collective behavior of a large number of locally acting organisms is proposed in which organisms move probabilistically between local cells in space, but with weights dependent on local morphogenetic…

adap-org · Physics 2008-06-25 Mark M. Millonas

Attachment of chemical substituents (such as polar moieties) constitutes an efficient and convenient way to modify physical and chemical properties of conjugated polymers and oligomers. Associated modifications in the molecular electronic…

Chemical Physics · Physics 2016-12-13 Hao Li , Michael J. Catanzaro , Sergei Tretiak , Vladimir Y. Chernyak

The phase diagram of the collapse of a two-dimensional infinite branched polymer interacting with the solvent and with itself through contact interactions is studied from the $q\to 1$ limit of an extension of the $q-$ states Potts model.…

Condensed Matter · Physics 2009-10-28 Malte Henkel , Flavio Seno

We study theoretically the temporal evolution and the spatial structure of the interface between two polymer melts involving three different species (A, A* and B). The first melt is composed of two different polymer species A and A* which…

Soft Condensed Matter · Physics 2009-11-10 A. Aradian , F. Saulnier , E. Raphael , P. -G. de Gennes