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The coil-globule transition of an energy polydisperse chain, a model heteropolymer system where the number of monomer species is as large as the total number of monomers, is studied by means of computer simulations. In this study, we…

Soft Condensed Matter · Physics 2022-07-21 Thoudam Vilip Singh , Lenin S. Shagolsem

We present a two dimensional model of hydrodynamic interaction between a circular swimmer and a circular post at low Reynolds number, using a point singularity description of the swimming activity. We derive a nonlinear dynamical system…

Fluid Dynamics · Physics 2016-12-09 Dario Papavassiliou , Gareth P Alexander

We study analytically a model of a two dimensional, partially directed, flexible or semiflexible polymer, attached to an attractive wall which is perpendicular to the preferred direction. In addition, the polymer is stretched by an…

Statistical Mechanics · Physics 2015-05-13 Pui-Man Lam , Yi Zhen , Haijun Zhou , Jie Zhou

This manuscript concerns the dynamical interactions between wind and water waves, which are characterized through two-phase free interface problems for the Euler equations. We provide a comprehensive derivation on the linearized problems of…

Analysis of PDEs · Mathematics 2025-08-04 Changfeng Gui , Sicheng Liu

The relaxation dynamics of the contact angle between a viscous liquid and a smooth substrate is studied at the nanoscale. Through atomic force microscopy measurements of polystyrene nanostripes we monitor simultaneously the temporal…

Soft Condensed Matter · Physics 2015-12-03 Marco Rivetti , Thomas Salez , Michael Benzaquen , Elie Raphaël , Oliver Bäumchen

Four on-lattice and six off-lattice models for active matter are studied numerically, showing that in contact with a wall, they display universal wetting transitions between three distinctive phases. The particles, which interact via…

Statistical Mechanics · Physics 2018-12-05 Néstor Sepúlveda , Rodrigo Soto

We consider the fluctuations of the free energy of positive temperature directed polymers in thin rectangles (N,N^{\alpha}), \alpha < 3/14. For general weight distributions with finite fourth moment we prove that the distribution of these…

Probability · Mathematics 2012-04-30 Antonio Auffinger , Jinho Baik , Ivan Corwin

Recently it has been shown that surface plasmons supported by an interface between a 3+1 dimensional topological insulator and a metal or between a 3+1 dimensional topological insulator with residual bulk charge carriers and vacuum have a…

Mesoscale and Nanoscale Physics · Physics 2011-09-28 Zohreh Davoudi , Andreas Karch

Using the global fiber bundle model as a tractable scheme of progressive fracture in heterogeneous materials, we define the branching ratio in avalanches as a suitable order parameter to clarify the order of the phase transition occurring…

Statistical Mechanics · Physics 2009-10-31 Y. Moreno , J. B. Gomez , A. F. Pacheco

Various interacting lattice path models of polymer collapse in two dimensions demonstrate different critical behaviours. This difference has been without a clear explanation. The collapse transition has been variously seen to be in the…

Statistical Mechanics · Physics 2016-05-25 A Bedini , A L Owczarek , T Prellberg

In this article we study the effect of a delta-interaction on a polymerized membrane of arbitrary internal dimension D. Depending on the dimensionality of membrane and embedding space, different physical scenarios are observed. We emphasize…

Condensed Matter · Physics 2009-11-07 Henryk A. Pinnow , Kay Joerg Wiese

We use a probabilistic interpretation of solid angles to generalize the well-known fact that the inner angles of a triangle sum to 180 degrees. For the 3-dimensional case, we show that the sum of the solid inner vertex angles of a…

Metric Geometry · Mathematics 2008-09-23 David V. Feldman , Daniel A. Klain

A directed polymer is allowed to branch, with configurations determined by global energy optimization and disorder. A finite size scaling analysis in 2D shows that, if disorder makes branching more and more favorable, a critical transition…

Statistical Mechanics · Physics 2016-08-31 Giovanni Sartoni , Attilio L. Stella

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

In this work we present a revised measurement of the phase-averaged optical polarisation of the Vela pulsar (PSR B0833-45), for which only one value has been published so far (Wagner & Seifert 2000). Our measurement has been obtained…

Astrophysics · Physics 2009-11-13 R. P. Mignani , S. Bagnulo , J. Dyks , G. Lo Curto , A. Slowikowska

In these proceedings, we first summarize some general properties of phase transitions in the presence of quenched disorder, with emphasis on the following points: the need to distinguish typical and averaged correlations, the possible…

Disordered Systems and Neural Networks · Physics 2008-03-12 Cecile Monthus , Thomas Garel

Relativistic phase space distributions are very interesting objects as they allow one to gather the information extracted from various types of experiments into a single coherent picture. Focusing on the four-dimensional transverse phase…

High Energy Physics - Phenomenology · Physics 2016-10-11 Cédric Lorcé , Barbara Pasquini

Single molecule manipulation techniques reveal that the mechanical resistance of a protein depends on the direction of the applied force. Using a lattice model of polymers, we show that changing the pulling direction leads to different…

Statistical Mechanics · Physics 2009-11-13 Sanjay Kumar , Debaprasad Giri

A general phase-plot is proposed for discrete particle shells that allows for thermal fluctuations of the shell geometry and of the inter-particle connectivities. The phase plot contains a first-order melting transition, a buckling…

Computational Physics · Physics 2020-04-22 Amit Rajnarayan Singh , Andrej Košmrlj , Robijn F. Bruinsma

Within self-consistent field theory we study the phase behavior of a symmetrical binary AB polymer blend confined into a thin film. The film surfaces interact with the monomers via short range potentials. One surface attracts the A…

Statistical Mechanics · Physics 2007-05-23 M. Mueller , K. Binder , E. V. Albano