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Related papers: Rough Interfaces Beyond the Gaussian Approximation

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Is there really such a thing as weak turbulence? Here we analyze turbulence of weakly interacting waves using the tools of information theory. It offers a unique perspective for comparing thermal equilibrium and turbulence: the mutual…

Fluid Dynamics · Physics 2020-09-09 Gregory Falkovich , Michal Shavit

We consider critical percolation on the triangular lattice in a bounded simply connected domain with boundary conditions that force an interface between two prescribed boundary points. We say the interface forms a "near-loop" when it comes…

Probability · Mathematics 2019-09-04 Tom Kennedy

While the 3d Ising model has defied analytic solution, various numerical methods like Monte Carlo, MCRG and series expansion have provided precise information about the phase transition. Using Monte Carlo simulation that employs the Wolff…

Computational Physics · Physics 2018-06-12 Alan M. Ferrenberg , Jiahao Xu , David P. Landau

We study the scaling properties of a one-dimensional interface at equilibrium, at finite temperature and in a disordered environment with a finite disorder correlation length. We focus our approach on the scalings of its geometrical…

Statistical Mechanics · Physics 2017-03-01 Elisabeth Agoritsas , Vivien Lecomte

Many experiments in biomedical applications and other disciplines use a shock tube. These experiments often involve placing an experimental sample within a fluid-filled container, which is then placed inside the shock tube. The shock tube…

Numerical Analysis · Mathematics 2018-04-24 Mauricio J. Del Razo , Randall J. LeVeque

This paper demonstrates that the results of a Monte Carlo simulation of a diluted 2D Ising antiferromagnetic system corresponds with the phase diagram for non conventional superconductors. An energy gap of this system is defined. We also…

General Physics · Physics 2016-04-25 Xuan Zhong Ni

We obtain an explicit expression for the multipoint energy correlations of a non solvable two-dimensional Ising models with nearest neighbor ferromagnetic interactions plus a weak finite range interaction of strength $\lambda$, in a scaling…

Mathematical Physics · Physics 2012-09-19 Alessandro Giuliani , Rafael L. Greenblatt , Vieri Mastropietro

We investigate with Monte Carlo computer simulations the capillary phase behaviour of model colloid-polymer mixtures confined between a flat wall and a corrugated wall. The corrugation is modelled via a sine wave as a function of one of the…

Soft Condensed Matter · Physics 2014-06-20 Andrea Fortini , Matthias Schmidt

We use a variational wave function to calculate the energy of the interaction between external charges in the compact Abelian gauge theory in 2+1 dimensions with mixed action. Our variational wave functions preserve the compact gauge…

High Energy Physics - Lattice · Physics 2009-10-31 Alex Kovner , Benjamin Svetitsky

Long-range interacting systems may exhibit ensemble inequivalence and can possibly attain equilibrium states under completely open conditions, for which energy, volume and number of particles simultaneously fluctuate. Here we consider a…

Statistical Mechanics · Physics 2023-01-18 Alessandro Campa , Lapo Casetti , Pierfrancesco Di Cintio , Ivan Latella , J. Miguel Rubi , Stefano Ruffo

Recent analyses of wetting in the semi-infinite two dimensional Ising model, extended to include both a surface coupling enhancement and a surface field, have shown that the wetting transition may be effectively first-order and that…

Statistical Mechanics · Physics 2016-07-20 Andrew O. Parry , Alexandr Malijevský

A particle placed in soft matter distorts its host and creates an energy landscape. This can occur, for example, for particles in liquid crystals, for particles on lipid bilayers or for particles trapped at fluid interfaces. Such energies…

Soft Condensed Matter · Physics 2015-10-20 Nima Sharifi-Mood , Iris B. Liu , Kathleen J. Stebe

We perform a study of the universality of the finite size scaling functions of interface free energies in the 3d Ising model. Close to the hot/cold phase transition, we observe very good agreement with the same scaling functions of the 4d…

High Energy Physics - Lattice · Physics 2015-06-25 M. Pepe , Ph. de Forcrand

The role of graded interfaces between materials in a cylindrical free-standing quantum wire with longitudinal heterostructures is theoretically investigated, by solving the Schr\"odinger equation within the effective mass approximation.…

Mesoscale and Nanoscale Physics · Physics 2011-05-06 Andrey Chaves , J. A. K. Freire , G. A. Farias

We consider a large class of interacting particle systems in 1D described by an energy whose interaction potential is singular and non-local. This class covers Riesz gases (in particular, log gases) and applications to plasticity and…

Analysis of PDEs · Mathematics 2020-10-27 Masato Kimura , Patrick van Meurs

We investigate how to exploit intermittent feedback for interference management by studying the two-user Gaussian interference channel (IC). We approximately characterize (within a universal constant) the capacity region for the Gaussian IC…

Information Theory · Computer Science 2016-11-17 Can Karakus , I-Hsiang Wang , Suhas Diggavi

We study the density of specular reflection points in the geometrical optics limit when light scatters off fluctuating interfaces and membranes in thermodynamic equilibrium. We focus on the statistical mechanics of both capillary-gravity…

Soft Condensed Matter · Physics 2018-12-26 Amir Azadi , David R. Nelson

The propagation and roughening of a fluid-gas interface through a disordered medium in the case of capillary driven spontaneous imbibition is considered. The system is described by a conserved (model B) phase-field model, with the structure…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Dube , M. Rost , K. R. Elder , M. Alava , S. Majaniemi , T. Ala-Nissila

Motivated by recent numerical findings [M. Henkel, T. Enss, and M. Pleimling, J. Phys. A: Math. Gen. 39 (2006) L589] we re-examine via Monte Carlo simulations the linear response function of the two-dimensional Ising model with Glauber…

Statistical Mechanics · Physics 2011-02-15 Federico Corberi , Andrea Gambassi , Eugenio Lippiello , Marco Zannetti

We present a random-interface representation of the three-dimensional (3D) Ising model based on thermal fluctuations of a uniquely defined geometric spin cluster in the 3D model and its 2D cross section. Extensive simulations have been…

Statistical Mechanics · Physics 2019-12-16 Hor Dashti-Naserabadi , Abbas Ali Saberi , S. H. E. Rahbari , Hyunggyu Park
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