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Single two dimensional polymers confined to a strip are studied by Monte Carlo simulations. They are described by N-step self-avoiding random walks on a square lattice between two parallel hard walls with distance 1 << D << N^\nu (\nu = 3/4…

Soft Condensed Matter · Physics 2007-05-23 Hsiao-Ping Hsu , Peter Grassberger

Solvation of small and large clusters are studied by simulation, considering a range of solvent-solute attractive energy strengths. Over a wide range of conditions, both for solvation in the Lennard-Jones liquid and in the SPC model of…

Statistical Mechanics · Physics 2007-07-29 Lutz Maibaum , David Chandler

We conduct a systematic examination of the properties of models for chemically homogeneous, differentially rotating, main-sequence stars of mass 1-2 M_sun. The models were constructed using a code based on a reformulation of the…

Astrophysics · Physics 2009-06-23 K. B. MacGregor , Stephen Jackson , Andrew Skumanich , T. S. Metcalfe

We perform equilibrium computer simulations of a two-dimensional pinned flexible polymer exposed to a quenched disorder potential consisting of hard disks. We are especially interested in the high-density regime of the disorder, where…

Soft Condensed Matter · Physics 2012-05-21 Sebastian Schöbl , Johannes Zierenberg , Wolfhard Janke

A brief review of our recent studies aiming at a better understanding of the scaling behaviour of polymers in disordered environments is given. The main emphasis is on a simple generic model where the polymers are represented by…

Soft Condensed Matter · Physics 2014-11-19 V. Blavatska , N. Fricke , W. Janke

The structure of polymer coils near interfaces between coexisting phases of symmetrical polymer mixtures (AB) is discussed, as well as the structure of symmetric diblock copolymers of the same chain length N adsorbed at the interface. The…

Soft Condensed Matter · Physics 2015-06-25 K. Binder , M. Mueller , F. Schmid , A. Werner

We analyse scaling laws that govern macromolecules of different topology: polymer chains, homogeneous and miktoarm star polymers in a good solvent possibly constrained by a porous medium. The latter is modelled by long-range-correlated…

Soft Condensed Matter · Physics 2015-05-13 V. Blavatska , C. von Ferber , Yu. Holovatch

The evolution of solidification microstructures in ternary metallic alloys is investigated by adaptive finite element simulations of a general multicomponent phase-field model. A morphological transition from dendritic to globular growth is…

Materials Science · Physics 2007-05-23 Denis Danilov , Britta Nestler

Many soft-matter and biophysical systems are composed of monomers which reversibly assemble into rod-like aggregates. The aggregates can then order into liquid-crystal phases if the density is high enough, and liquid-crystal ordering…

Soft Condensed Matter · Physics 2010-07-27 Tatiana Kuriabova , M. D. Betterton , Matthew A. Glaser

We study the conformal capacity by using novel computational algorithms based on implementations of the fast multipole method, and analytic techniques. Especially, we apply domain functionals to study the capacities of condensers $(G,E)$…

Numerical Analysis · Mathematics 2021-12-07 Mohamed M. S. Nasser , Oona Rainio , Matti Vuorinen

We study the dynamics and conformation of polymers composed by active monomers. By means of Brownian dynamics simulations we show that when the direction of the self-propulsion of each monomer is aligned with the backbone, the polymer…

Soft Condensed Matter · Physics 2018-11-28 Valentino Bianco , Emanuele Locatelli , Paolo Malgaretti

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

We numerically examine the depinning, sliding, and melting of commensurate and incommensurate Wigner crystals on two-dimensional hexagonal periodic substrates near fillings of 1/3, 1/2, and 2/3 to model the dynamics of generalized Wigner…

Mesoscale and Nanoscale Physics · Physics 2024-06-25 C. Reichhardt , C. J. O. Reichhardt

Liquids displaying strong virial-potential energy correlations conform to an approximate density scaling of their structural and dynamical observables. This scaling property does not extend to the entire phase diagram, in general. The…

Soft Condensed Matter · Physics 2020-12-23 Thibaud Maimbourg , Jeppe C. Dyre , Lorenzo Costigliola

We study multivariate trigonometric polynomials, satisfying a set of constraints close to the known Strung-Fix conditions. Based on the polyphase representation of these polynomials relative to a general dilation matrix, we develop a simple…

Functional Analysis · Mathematics 2009-07-27 Nira Dyn , Maria Skopina

Consider a set of integers $\mathscr A$ having finite diameter $X$, and a system of simultaneous polynomial equations to be solved over $\mathscr A$. In many circumstances, it is known that the number of solutions of this system is…

Number Theory · Mathematics 2023-06-01 Trevor D. Wooley

We study the quantum corrections to the polarizability of isolated metallic mesoscopic systems using the loop-expansion in diffusive propagators. We show that the difference between connected (grand-canonical ensemble) and isolated…

Mesoscale and Nanoscale Physics · Physics 2013-07-29 M. Treiber , P. M. Ostrovsky , O. M. Yevtushenko , J. von Delft , I. V. Lerner

We consider the Lagrangian particle model introduced in [hep-th/9612017] for zero mass but nonvanishing second central charge of the planar Galilei group. Extended by a magnetic vortex or a Coulomb potential the model exibits conformal…

High Energy Physics - Theory · Physics 2009-11-10 P. C. Stichel , W. J. Zakrzewski

Single partially confined collapsed polymers are studied in two dimensions. They are described by self-avoiding random walks with nearest-neighbour attractions below the $\Theta$-point, on the surface of an infinitely long cylinder. For the…

Statistical Mechanics · Physics 2009-11-07 Hsiao-Ping Hsu , Peter Grassberger

The one dimensional Fermi gas of matrix eigenvalues of the Marinari-Parisi model at positive values of the cosmological constant is generalised.The number of matrix eigenvalues (i.e. gas particles) is varied while keeping the effective…

High Energy Physics - Theory · Physics 2010-11-01 Joshua Feinberg