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Structural correlations at a liquid-solid interface were explored with molecular dynamics simulations of a model aluminium system using the Ercolessi-Adams potential and up to 4320 atoms. Substrate atoms were pinned to their equilibrium…

Materials Science · Physics 2007-05-23 Adham Hashibon , Joan Adler , Michael W. Finnis , Wayne D. Kaplan

We find the scaling limits of a general class of boundary-to-boundary connection probabilities and multiple interfaces in the critical planar FK-Ising model, thus verifying predictions from the physics literature. We also discuss…

Probability · Mathematics 2024-08-12 Yu Feng , Eveliina Peltola , Hao Wu

We discuss the role of the long-range elastic interaction between the contacts inside an inhomogeneous frictional interface. The interaction produces a characteristic elastic correlation length $\lambda_c = a^2 E / k_c$ (where $a$ is the…

Statistical Mechanics · Physics 2012-01-25 Oleg Braun , Michel Peyrard , D. V. Stryzheus , Erio Tosatti

We derive upper bounds on the fluctuations of a class of random surfaces of the $\nabla \phi$-type with convex interaction potentials. The Brascamp-Lieb concentration inequality provides an upper bound on these fluctuations for uniformly…

Probability · Mathematics 2024-01-23 Paul Dario

We derive a simple analytical expression for the level correlation function of an integrable system. It accounts for both the lack of correlations at smaller energy scales and for global rigidity (level number conservation) at larger…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 R. A. Serota , J. M. A. S. P. Wickramasinghe

We calculate analytically the proportionality constant in the pressure law of a membrane between parallel walls from the strong-coupling limit of variational perturbation theory up to third order. Extrapolating the zeroth to third…

Condensed Matter · Physics 2009-10-31 M. Bachmann , H. Kleinert , A. Pelster

We investigate the folding and forced-unbinding transitions of adsorbed semiflexible polymer chains using theory and simulations. These processes describe biologically relevant phenomena that include adhesive interactions between proteins…

Soft Condensed Matter · Physics 2007-05-23 V. Barsegov , D. Thirumalai

Stochastic series expansion quantum Monte Carlo is used to study the ground state of the antiferromagnetic spin-1 Heisenberg chain with bond disorder. Typical spin- and string-correlations functions behave in accordance with real-space…

Strongly Correlated Electrons · Physics 2009-11-07 Sara Bergkvist , Patrik Henelius , Anders Rosengren

I consider a one dimensional system of particles which interact through a hard core of diameter $\si$ and can connect to each other if they are closer than a distance $d$. The mean cluster size increases as a function of the density $\rho$…

Statistical Mechanics · Physics 2009-10-28 Alon Drory

We study the thermal conductance across solid-solid interfaces as the composition of an intermediate matching layer is varied. In absence of phonon-phonon interactions, an added layer can make the interfacial conductance increase or…

Mesoscale and Nanoscale Physics · Physics 2017-05-10 Carlos A. Polanco , Rouzbeh Rastgarkafshgarkolaei , Jingjie Zhang , Nam Le , Pamela M. Norris , Avik W. Ghosh

Linked cluster expansions provide a useful tool for both analytical and numerical investigations of lattice field theories. The expansion parameter(s) being the interaction strength(s) fields at neighboured lattice sites are coupled, they…

High Energy Physics - Lattice · Physics 2009-10-28 Thomas Reisz

A fluid in a non-equilibrium state exhibits long-ranged correlations of its hydrodynamic fluctuations. In this article, we examine the effect of a transpiration interface on these correlations -- specifically, we consider a dilute gas in a…

Statistical Mechanics · Physics 2020-05-11 Daniel R. Ladiges , Andrew J. Nonaka , John B. Bell , Alejandro L. Garcia

Several correlations between viscosity and surface tension for saturated normal fluids have been proposed in the literature. Usually, they include three or four adjustable coefficients for every fluid and give generally good results. In…

Chemical Physics · Physics 2016-07-14 Jianxiang Tian , A. Mulero

Self-affine rough interfaces are ubiquitous in experimental systems, and display characteristic scaling properties as a signature of the nature of disorder in their supporting medium, i.e. of the statistical features of its heterogeneities.…

Disordered Systems and Neural Networks · Physics 2021-07-21 Sebastian Bustingorry , Jill Guyonnet , Patrycja Paruch , Elisabeth Agoritsas

We perform numerical studies including Monte Carlo simulations of high rotational symmetry random tilings. For computational convenience, our tilings obey fixed boundary conditions in regular polygons. Such tilings are put in correspondence…

Statistical Mechanics · Physics 2017-01-10 M. Widom , N. Destainville , R. Mosseri , F. Bailly

We consider the raise and peel model of a one-dimensional fluctuating interface in the presence of an attractive wall. The model can also describe a pair annihilation process in a disordered unquenched media with a source at one end of the…

Statistical Mechanics · Physics 2008-06-08 Francisco C. Alcaraz , Pavel Pyatov , Vladimir Rittenberg

We use conformal maps to study a free boundary problem for a two-fluid electromechanical system, where the interface between the fluids is determined by the combined effects of electrostatic forces, gravity and surface tension. The free…

Mathematical Physics · Physics 2015-06-19 Stuart Kent , Shankar C. Venkataramani

We study the tilt dependence of the pinning-depinning transition for an interface described by the anisotropic quenched Kardar-Parisi-Zhang equation in 2+1 dimensions, where the two signs of the nonlinear terms are different from each…

Statistical Mechanics · Physics 2009-10-31 K. -I. Goh , H. Jeong , B. Kahng , D. Kim

The roughness properties of two-dimensional fracture surfaces as created by the slow failure of random fuse networks are considered and compared to yield surfaces of perfect plasticity with similar disorder. By studying systems up to a…

Statistical Mechanics · Physics 2009-10-31 E. T. Seppala , V. I. Raisanen , M. J. Alava

We study the equilibrium solutions of a sessile drop on top of a horizontal substrate when it is partially covered by another inmiscible liquid, so that part of the drop is in contact with a third fluid (typically, air). The shapes of the…

Fluid Dynamics · Physics 2022-11-11 Pablo D. Ravazzoli , Alejandro G. González , Javier A. Diez