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Related papers: Surface tension in the dilute Ising model. The Wul…

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Usually, the impact of structural disorder on the magnetic phase transition in the 3D Ising model is analyzed within the framework of quenched dilution by a non-magnetic component, where some lattice sites are occupied by Ising spins, while…

Disordered Systems and Neural Networks · Physics 2025-03-04 J. J. Ruiz-Lorenzo , M. Dudka , M. Krasnytska , Yu. Holovatch

We present a new solution of the asymmetric two-matrix model in the large $N$ limit which only involves a saddle point analysis. The model can be interpreted as Ising in the presence of a magnetic field, on random dynamical lattices with…

Statistical Mechanics · Physics 2007-05-23 P. Zinn-Justin

Using computer simulations of an atomistic glass-forming liquid, we investigate the fluctuations of the overlap between a fluid configuration and a quenched reference system. We find that large fluctuations of the overlap develop as…

Statistical Mechanics · Physics 2015-05-29 Ludovic Berthier , Robert L. Jack

We construct a random surface model with a string susceptibility exponent one quarter by taking an Ising model on a random surface and introducing an additional degree of freedom which amounts to allowing certain outgrowths on the surfaces.…

High Energy Physics - Theory · Physics 2009-10-28 T. Jonsson , J. F. Wheater

Randomly coupled Ising spins constitute the classical model of collective phenomena in disordered systems, with applications covering ferromagnetism, combinatorial optimization, protein folding, stock market dynamics, and social dynamics.…

Disordered Systems and Neural Networks · Physics 2016-08-24 David Dahmen , Hannah Bos , Moritz Helias

We investigate the effect of quenched surface disorder on effective interactions between two planar surfaces immersed in fluids which are near criticality and belong to the Ising bulk universality class. We consider the case that, in the…

Statistical Mechanics · Physics 2017-12-06 A. Maciolek , O. Vasilyev , V. Dotsenko , S. Dietrich

We study a two dimensional Ising model between thermostats at different temperatures. By applying the recently introduced KQ dynamics, we show that the system reaches a steady state with coexisting phases transversal to the heat flow. The…

Statistical Mechanics · Physics 2008-03-27 E. Agliari , M. Casartelli , A. Vezzani

We consider the sloshing problem for an incompressible, inviscid, irrotational fluid in an open container, including effects due to surface tension on the free surface. We restrict ourselves to a constant contact angle and seek…

Analysis of PDEs · Mathematics 2017-06-21 Chee Han Tan , Christel Hohenegger , Braxton Osting

This article reports a comparative study of bulk and surface properties in the transition metal dichalcogenide 1T-TaS$_2$. When heating the sample, the surface displays an intermediate insulating phase that persists for $\sim 10$ K on top…

Using the density-matrix renormalization-group method we study the surface critical behaviour of the magnetization in Ising strips in the subcritical region. Our results support the prediction that the surface magnetization in the two…

Statistical Mechanics · Physics 2009-11-11 A. Drzewinski , A. Maciolek , K. Szota

In this paper we consider a 2d random Ising system on a square lattice with nearest neighbour interactions. The disorder is short range correlated and asymmetry between the vertical and the horizontal direction is admitted. More precisely,…

Disordered Systems and Neural Networks · Physics 2009-10-30 M. Pasquini , M. Serva

We study ground states of Ising models with random ferromagnetic couplings, proving the triviality of all zero-temperature metastates. This unexpected result sheds a new light on the properties of these systems, putting strong restrictions…

Mathematical Physics · Physics 2016-02-17 Jan Wehr , Aramian Wasielak

Ground-state and finite-temperature properties of the exactly solvable mixed spin-1/2 Ising-Heisenberg planar model composed of identical trigonal bipyramids that are arranged into a regular archimedean lattice are examined with the aim to…

Statistical Mechanics · Physics 2019-08-27 Lucia Galisova

The pressure-temperature phase diagram of a one-component system, with particles interacting through a spherically symmetric pair potential in two dimensions is studied. The interaction consists of a hard core plus an additional repulsion…

Statistical Mechanics · Physics 2009-10-31 E. A. Jagla

The Gibbs adsorption equation is the thermodynamic cornerstone for the description and understanding of the surface tension in a surfactant solution. It relates the decrease in surface tension to an increased surfactant adsorption. In the…

Soft Condensed Matter · Physics 2025-09-25 Edgar M. Blokhuis

We analyze within mean-field theory as well as numerically a KPZ equation that describes nonequilibrium wetting. Both complete and critical wettitng transitions were found and characterized in detail. For one-dimensional substrates the…

Statistical Mechanics · Physics 2009-11-10 F. de los Santos , M. M. Telo da Gama , M. A. Munoz

We prove a hardness of sampling result for the anti-ferromagnetic Ising model on random graphs of average degree $d$ for large constant $d$, proving that when the normalized inverse temperature satisfies $\beta>1$ (asymptotically…

Probability · Mathematics 2024-09-09 Neng Huang , Will Perkins , Aaron Potechin

We present new results for the ordering process of a two-dimensional Ising model with anisotropic frustrating next-nearest-neighbor interactions. We concentrate on a specific wide temperature and parameter region to confirm the existence of…

Statistical Mechanics · Physics 2013-08-08 A. Kalz , G. Chitov

We study the effective interaction mediated by strongly coupled Coulomb fluids between dielectric surfaces carrying quenched, random monopolar charges with equal mean and variance, both when the Coulomb fluid consists only of mobile…

Soft Condensed Matter · Physics 2020-10-01 Malihe Ghodrat , Ali Naji , Haniyeh Komaie-Moghaddam , Rudolf Podgornik

We study the topology of fluid interfaces in the 3D Ising model in the rough phase. It turns out that such interfaces are accurately described as dilute gases of microscopic handles, and the stiffness of the interface increases with the…

Condensed Matter · Physics 2015-06-25 M. Caselle , F. Gliozzi , U. Magnea