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We further study the interfaces arising in a situation of inhomogeneity. More precisely, we identify a characteristic length for the gradient percolation model, that enables us to tighten previous estimates established for it. This allows…

概率论 · 数学 2009-07-10 Pierre Nolin

We study conditioned random-cluster measures with edge-parameter p and cluster-weighting factor q satisfying q \ge 1. The conditioning corresponds to mixed boundary conditions for a spin model. Interfaces may be defined in the sense of…

概率论 · 数学 2007-05-23 Guy Gielis , Geoffrey Grimmett

We study, using Monte Carlo simulations, the cavity and the bridge functions of various hard sphere fluids: one component system, equimolar additive and non additive binary mixtures. In particular, we numerically check the assumption of…

统计力学 · 物理学 2007-05-23 R. Fantoni , G. Pastore

Imbibition phenomena have been widely used experimentally and theoretically to study the kinetic roughening of interfaces. We critically discuss the existing experiments and some associated theoretical approaches on the scaling properties…

无序系统与神经网络 · 物理学 2009-10-31 M. Dube , M. Rost , M. Alava

We study the correlation properties of long-range correlated time series, $x_i$, with tunable correlation exponent and built-in multifractal properties. For the cases we investigate we find that the correlation exponent of the magnitude…

We address three problems faced by effective interfacial Hamiltonian models of wetting based on a single collective coordinate \ell representing the position of the unbinding fluid interface. Problems (P1) and (P2) refer to the predictions…

软凝聚态物质 · 物理学 2015-06-25 A. O. Parry , P. S. Swain

We consider long strips of finite width $L \leq 13$ sites of ferromagnetic Ising spins with random couplings distributed according to the binary distribution: $P(J_{ij})= {1 \over 2} ( \delta (J_{ij} -J_0) + \delta (J_{ij} -rJ_0) ) ,\ 0 < r…

凝聚态物理 · 物理学 2009-10-28 S. L. A. de Queiroz , R. B. Stinchcombe

A continuum-space bead-spring model is used to study the phase behavior of binary blends of homopolymers and the structure of the interface between the two immiscible phases. The structure of the interface is investigated as a function of…

软凝聚态物质 · 物理学 2009-10-30 Martin-D. Lacasse , Gary S. Grest , Alex J. Levine

Using combinatorial optimisation techniques we study the critical properties of the two- and the three-dimensional Ising model with uniformly distributed random antiferromagnetic couplings $(1 \le J_i \le 2)$ in the presence of a…

无序系统与神经网络 · 物理学 2022-06-08 Jean-Christian Anglès d'Auriac , Ferenc Iglói

Finite element methods are used to study non-adhesive, frictionless contact between elastic solids with self-affine surfaces. We find that the total contact area rises linearly with load at small loads. The mean pressure in the contact…

材料科学 · 物理学 2009-11-10 S. Hyun , L. Pei , J. -F. Molinari , M. O. Robbins

We consider a Hamiltonian $H$ which is the sum of a deterministic part $H_0$ and of a random potential $V$. For finite $N \times N$ matrices, following a method introduced by Kazakov, we derive a representation of the correlation functions…

凝聚态物理 · 物理学 2009-10-28 E. Brézin , S. Hikami

Using different segmental dynamics and relaxation, characteristics of the interface growth is examined in an electrophoretic deposition of polymer chains on a three (2+1) dimensional discrete lattice with a Monte Carlo simulation.…

软凝聚态物质 · 物理学 2007-05-23 Frank W. Bentrem , Jun Xie , R. B. Pandey

Interfaces in two-dimensional systems exhibit unexpected complex dynamical behaviors, the dynamics of a border connecting a stripe pattern and a uniform state is studied. Numerical simulations of a prototype isotropic model, the subcritical…

斑图形成与孤子 · 物理学 2008-06-05 Marcel G. Clerc , Daniel Escaff , Rene Rojas

We study the correlation of edges, vectors or elements to be in a randomly chosen spanning tree or a basis, respectively. Here we follow the guideline of Huh and Wang and introduce as a measure an invariant that is called the correlation…

组合数学 · 数学 2018-04-10 Benjamin Schröter

Consider the classical $(2+1)$-dimensional Solid-On-Solid model above a hard wall on an $L\times L$ box of $\bbZ^2$. The model describes a crystal surface by assigning a non-negative integer height $\eta_x$ to each site $x$ in the box and 0…

Roughness of driven elastic interfaces in random media is typically understood to be characterized by a single roughness exponent $\zeta$. We show that at the depinning threshold, due to symmetry breaking caused by the direction of the…

统计力学 · 物理学 2022-10-20 Esko Toivonen , Matti Molkkari , Esa Räsänen , Lasse Laurson

We study numerically the geometrical and free-energy fluctuations of a static one-dimensional (1D) interface with a short-range elasticity, submitted to a quenched random-bond Gaussian disorder of finite correlation length $\xi>0$, and at…

无序系统与神经网络 · 物理学 2013-07-30 Elisabeth Agoritsas , Vivien Lecomte , Thierry Giamarchi

We present a comprehensive study shedding light on how thermal fluctuations affect correlations in a Bose gas with contact repulsive interactions in one spatial dimension. The pair correlation function, the static structure factor, and the…

量子气体 · 物理学 2023-04-10 Giulia De Rosi , Riccardo Rota , Grigori E. Astrakharchik , Jordi Boronat

We employ a functional renormalization group to study interfaces in the presence of a pinning potential in $d=4-\epsilon$ dimensions. In contrast to a previous approach [D.S. Fisher, Phys. Rev. Lett. {\bf 56}, 1964 (1986)] we use a…

无序系统与神经网络 · 物理学 2007-05-23 Stefan Scheidl , Yusuf Dincer

We consider entanglement through permeable interfaces in the c=1 (1+1)-dimensional conformal field theory. We compute the partition functions with the interfaces inserted. By the replica trick, the entanglement entropy is obtained…

高能物理 - 理论 · 物理学 2008-12-18 Kazuhiro Sakai , Yuji Satoh