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Related papers: Interface Pinning and Finite-Size Effects in the 2…

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We study the local scaling properties of driven interfaces in disordered media modeled by the Edwards-Wilkinson equation with quenched noise. We find that, due to the super-rough character of the interface close to the depinning transition,…

Condensed Matter · Physics 2009-10-30 Juan M. Lopez , Miguel A. Rodriguez

The influence of temperature on interfacial fluid slip, as measured by molecular-dynamics simulations of a Couette flow comprising a Lennard-Jones fluid and rigid crystalline walls, is examined as a function of the fluid-solid interaction…

Fluid Dynamics · Physics 2021-06-30 Thiago F. Viscondi , Adriano Grigolo , Iberê L. Caldas , Julio R. Meneghini

We provide a non-trivial test of supersymmetry in the random-field Ising model at five spatial dimensions, by means of extensive zero-temperature numerical simulations. Indeed, supersymmetry relates correlation functions in a D-dimensional…

Statistical Mechanics · Physics 2019-06-21 Nikolaos G. Fytas , Victor Martin-Mayor , Giorgio Parisi , Marco Picco , Nicolas Sourlas

We determine the interface tension for the 100, 110 and 111 interface of the simple cubic Ising model with nearest-neighbour interaction using novel simulation methods. To overcome the droplet/strip transition and the droplet nucleation…

Statistical Mechanics · Physics 2009-07-20 Elmar Bittner , Andreas Nußbaumer , Wolfhard Janke

In this work a symmetry of universal finite-size scaling functions under a certain anisotropic scale transformation is postulated. This transformation connects the properties of a finite two-dimensional system at criticality with…

Statistical Mechanics · Physics 2009-11-07 Alfred Hucht

We present a high precision Monte Carlo study of the finite temperature $Z_2$ gauge theory in 2+1 dimensions. The duality with the 3D Ising spin model allows us to use powerful cluster algorithms for the simulations. For temporal extensions…

High Energy Physics - Lattice · Physics 2009-10-28 M. Caselle , M. Hasenbusch

We investigated the Ising model on a square lattice with ferro and antiferromagnetic interactions modulated by the quasiperiodic Octonacci sequence in both directions of the lattice. We have applied the Replica Exchange Monte Carlo…

Statistical Mechanics · Physics 2018-01-17 G. A. Alves , M. S. Vasconcelos , T. F. A. Alves

We investigate the critical behaviour of the two-dimensional Ising model defined on a curved surface with a constant negative curvature. Finite-size scaling analysis reveals that the critical exponents for the zero-field magnetic…

Statistical Mechanics · Physics 2009-11-11 Hiroyuki Shima , Yasunori Sakaniwa

In systems belonging to the universality class of the random field Ising model, the standard hyperscaling relation between critical exponents does not hold, but is replaced by a modified hyperscaling relation. As a result, standard…

Statistical Mechanics · Physics 2010-12-01 R. L. C. Vink , T. Fischer , K. Binder

We study the two-dimensional Ising model on a network with a novel type of quenched topological (connectivity) disorder. We construct random lattices of constant coordination number and perform large scale Monte Carlo simulations in order…

Statistical Mechanics · Physics 2018-03-07 Manuel Schrauth , Julian A. J. Richter , Jefferson S. E. Portela

Based on the isospin-dependent quantum molecular dynamics model, finite-size scaling effects on nuclear liquid--gas phase transition probes are investigated by studying the de-excitation processes of six thermal sources of different sizes…

Nuclear Theory · Physics 2019-09-18 H. L. Liu , Y. G. Ma , D. Q. Fang

We analyze the microscopic, topological structure of the interface between domains of opposite magnetization in 3D Ising model near the critical point. This interface exhibits a fractal behaviour with a high density of handles. The mean…

High Energy Physics - Theory · Physics 2009-09-25 M. Caselle , F. Gliozzi , S. Vinti

The infinite-volume limit behavior of the 2d Ising model under possibly strong random boundary conditions is studied. The model exhibits chaotic size-dependence at low temperatures and we prove that the `+' and `-' phases are the only…

Mathematical Physics · Physics 2015-06-26 A. C. D. van Enter , K. Netocny , H. G. Schaap

We consider numerically the depinning transition in the random-field Ising model. Our analysis reveals that the three and four dimensional model displays a simple scaling behavior whereas the five dimensional scaling behavior is affected by…

Statistical Mechanics · Physics 2007-05-23 L. Roters , S. Lubeck , K. D. Usadel

Using effective-field theory with correlations, we investigate the effects of interfacial pseudo-spin coupling fluctuations on the susceptibility and polarization of ferroelectric superlattices within the framework of transverse Ising…

Materials Science · Physics 2009-11-10 Yin-Zhong Wu , Wei-Min Zhang , Ming-Rong Shen , Zhen-Ya Li

The propagation of damage in a confined magnetic Ising film, with short range competing magnetic fields ($h$) acting at opposite walls, is studied by means of Monte Carlo simulations. Due to the presence of the fields, the film undergoes a…

Statistical Mechanics · Physics 2009-11-13 M. Leticia Rubio Puzzo , Ezequiel V. Albano

Accurate numerical results are presented for the three-dimensional equivalent-neighbor model on a cubic lattice, for twelve different interaction ranges (coordination number between 18 and 250). These results allow the determination of the…

Statistical Mechanics · Physics 2009-10-31 Erik Luijten

The scaling of the transition temperature into an ordered phase close to a quantum critical point as well as the order parameter fluctuations inside the quantum critical region provide valuable information about universal properties of the…

Strongly Correlated Electrons · Physics 2016-04-29 Stephan Hesselmann , Stefan Wessel

We study the 2d-Ising model defined on finite boxes at temperatures that are below but very close from the critical point. When the temperature approaches the critical point and the size of the box grows fast enough, we establish large…

Probability · Mathematics 2008-12-01 Raphael Cerf , Reda Messikh

We study the behavior of the two-dimensional Ising model in a finite box at temperatures that are below, but very close to, the critical temperature. In a regime where the temperature approaches the critical point and, simultaneously, the…

Probability · Mathematics 2016-09-07 R. Cerf , R. J. Messikh