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Related papers: Correlations of a bound interface over a random su…

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We obtain exact results for correlation functions of primary operators in the two-dimensional conformal field theory of a scalar field interacting with a critical periodic boundary potential. Amplitudes involving arbitrary bulk discrete…

High Energy Physics - Theory · Physics 2009-11-10 Kristjan R. Kristjansson , Larus Thorlacius

To investigate order-order interfaces, we perform multimagnetical Monte Carlo simulations of the $2D$ and $3D$ Ising model. Following Binder we extract the interfacial free energy from the infinite volume limit of the magnetic probability…

High Energy Physics - Lattice · Physics 2009-10-22 B. A. Berg , U. Hansmann , T. Neuhaus

The two-dimensional site percolation problem is studied by transfer-matrix methods on finite-width strips with free boundary conditions. The relationship between correlation-length amplitudes and critical indices, predicted by conformal…

Condensed Matter · Physics 2009-10-28 S L A de Queiroz

We propose the finite-size scaling of correlation function in a finite system near its critical point. At a distance ${\bf r}$ in the finite system with size $L$, the correlation function can be written as the product of $|{\bf…

Statistical Mechanics · Physics 2018-06-01 Xin Zhang , Gaoke Hu , Yongwen Zhang , Xiaoteng Li , Xiaosong Chen

We investigate numerically, using the bond-fluctuation model, the adsorption of many random AB--copolymers with excluded volume interactions at the interface between two solvents. We find two regimes, controlled by the total number of…

Soft Condensed Matter · Physics 2007-05-23 Gongwen Peng , Jens-Uwe Sommer , Alexander Blumen

A popular concept which describes the structure of polymer interfaces by ``intrinsic profiles'' centered around a two dimensional surface, the ``local interface position'', is tested by extensive Monte Carlo simulations of interfaces…

Soft Condensed Matter · Physics 2009-10-31 A. Werner , F. Schmid , M. Mueller , K. Binder

An overview of recent studies of nonequilibrium bound interfaces is given. Attention is focused on Kardar-Parisi-Zhang interfaces in the presence of upper and lower walls, interacting via short-- and long--ranged potentials. A comparison…

Statistical Mechanics · Physics 2007-05-23 F. de los Santos , M. M. Telo da Gama

We apply new techniques developed in a previous paper to the study of some surface effects in the 2D Ising model. We examine in particular the pinning-depinning transition. The results are valid for all subcritical temperatures. By duality…

Statistical Mechanics · Physics 2011-08-25 C. -E. Pfister , Y. Velenik

In this paper we investigate the dynamical behavior of an interface or polymer, in interaction with a distant attractive substrate. The interface is modeled by the graph of a nearest neighbor path with non-negative integer coordinates, and…

Probability · Mathematics 2014-01-06 Hubert Lacoin , Augusto Teixeira

We derive a universal form for the correlation function of general n component systems in the limit of high temperatures or weak coupling. This enables the extraction of effective microscopic interactions from measured high temperature…

Statistical Mechanics · Physics 2015-02-25 Saurish Chakrabarty , Zohar Nussinov

When a growing interface belonging to the KPZ universality class is tilted with average slope $m$, its average velocity increases in $\frac{\Lambda}{2}\,m^2$, where $\Lambda$ is related to the nonlinear coefficient $\lambda$ of the KPZ…

Statistical Mechanics · Physics 2021-06-11 M. F. Torres , R. C. Buceta

A continuous infinite system of point particles interacting via two-body strong superstable potential is considered in the framework of classical statistical mechanics. We define some kind of approximation of main quantities, which describe…

Mathematical Physics · Physics 2010-07-27 Alexei Rebenko , Maksym Tertychnyi

In this paper we study bond percolation on a one-dimensional chain with power-law bond probability $C/ r^{1+\sigma}$, where $r$ is the distance length between distinct sites. We introduce and test an order $N$ Monte Carlo algorithm and we…

Statistical Mechanics · Physics 2017-07-12 G. Gori , M. Michelangeli , N. Defenu , A. Trombettoni

The one-dimensional contact process with weak to intermediate quenched disorder in its transmission rates is investigated via quasi-stationary Monte Carlo simulation. We address the contested questions of both the nature of dynamical…

Statistical Mechanics · Physics 2008-09-03 S V Fallert , S N Taraskin

Unidirectionally coupled systems which exhibit phase transitions into an absorbing state are investigated at the multicritical point. We find that for initial conditions with isolated particles, each hierarchy level exhibits an…

Statistical Mechanics · Physics 2009-11-10 Sungchul Kwon , Gunter M. Schutz

Distance correlation has become an increasingly popular tool for detecting the nonlinear dependence between a pair of potentially high-dimensional random vectors. Most existing works have explored its asymptotic distributions under the null…

Statistics Theory · Mathematics 2021-10-06 Lan Gao , Yingying Fan , Jinchi Lv , Qi-Man Shao

The free volume comprised between rough surfaces in contact governs the fluid/gas transport properties across networks of cracks and the leakage/percolation phenomena in seals. In this study, a fundamental insight into the evolution of the…

Materials Science · Physics 2016-04-19 M. Paggi , Q. -C. He

We propose a lattice model to study the dynamics of a driven interface in a medium with random pinning forces. For driving forces F smaller than a threshold force F_c the whole interface gets pinned. The depinning transition can be…

Condensed Matter · Physics 2009-10-22 Heiko Leschhorn

The roughness of crack interfaces is reported in quasistatic fracture, using an elastic network of beams with random breaking thresholds. For strong disorders we obtain 0.86(3) for the roughness exponent, a result which is very different…

Condensed Matter · Physics 2009-10-31 Bjorn Skjetne , Torbjorn Helle , Alex Hansen

The ground state properties and low-lying excitations of a (quasi) one-dimensional system of longitudinally confined interacting bosons are studied. This is achieved by extending Haldane's harmonic-fluid description to open boundary…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. A. Cazalilla