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We investigate the surface critical behavior of two-dimensional multilayered aperiodic Ising models in the extreme anisotropic limit. The system under consideration is obtained by piling up two types of layers with respectively $p$ and $q$…

Statistical Mechanics · Physics 2016-08-31 Pierre Emmanuel Berche , Bertrand Berche

Using the self-contained PDE analysis, this paper investigates the existence and the decay properties of the invariant measure in elliptic homogenization of non-divergence form with an interface assumptions on the leading coefficient $A$…

Analysis of PDEs · Mathematics 2025-07-22 Pengxiu Yu , Yiping Zhang

We consider interfacial phenomena accompanying bulk quantum phase transitions in presence of surface fields. On general grounds we argue that the surface contribution to the system free energy involves a line of singularities characteristic…

Statistical Mechanics · Physics 2013-05-30 Pawel Jakubczyk

The phase behavior of grain boundaries can have a strong influence on interfacial properties. Little is known about the emergence of grain boundary phases in elemental metal systems and how they transform. Here, we observe the nanoscale…

In an artificial 3D percolation nano medium, the clusters filled by the Ising magnets give rise to a topologically nontrivial magnetic structure, leading to new features of the ferromagnetic phase transition without an external magnetic…

Statistical Mechanics · Physics 2010-09-27 Gennadiy Burlak

Neutron scattering studies of single-crystal LiNiPO$_4$ reveal a spontaneous first-order commensurate-incommensurate magnetic phase transition. Short- and long-range incommensurate phases are intermediate between the high temperature…

Strongly Correlated Electrons · Physics 2009-11-10 D. Vaknin , J. L. Zarestky , J. -P. Rivera , H. Schmid

In nanocomposite magnetic materials the exchange coupling between phases plays a central role in the determination of the extrinsic magnetic properties of the material: coercive field, remanence magnetization. Exchange coupling is therefore…

Materials Science · Physics 2013-03-12 V. Russier , K. Younsi , L. Bessais

The known Pfaffian structure of the boundary spin correlations, and more generally order-disorder correlation functions, is given a new explanation through simple topological considerations within the model's random current representation.…

Mathematical Physics · Physics 2022-01-25 Michael Aizenman , Hugo Duminil-Copin , Vincent Tassion , Simone Warzel

We compare two singularly perturbed elliptic systems modeling partially phase segregation. Although the formulations are fundamentally different, we prove that their limiting configurations have identical free boundaries. The result shows…

Analysis of PDEs · Mathematics 2026-01-12 Farid Bozorgnia

The high temperature limit of interacting spins is usually not associated with ordering or critical phenomena. Nevertheless, spontaneous fluctuations of a local spin polarization at equilibrium have nontrivial dynamics even in this limit.…

Statistical Mechanics · Physics 2023-07-03 V. N. Gorshkov , N. A. Sinitsyn , D. Mozyrsky

As a generic example for crystals where the crystal-fluid interface tension depends on the orientation of the interface relative to the crystal lattice axes, the nearest neighbor Ising model on the simple cubic lattice is studied over a…

Computational Physics · Physics 2015-06-23 Benjamin J. Block , Suam Kim , Peter Virnau , Kurt Binder

We present in this paper an exact study concerning a first order transition induced by an inhomogeneous boundary magnetic field in the 2D Ising model. From a previous analysis of the interfacial free energy in the discrete case (J. Phys. A,…

Statistical Mechanics · Physics 2007-05-23 Maxime Clusel , Jean-Yves Fortin

In an earlier work (R. Bhandari, Phys. Lett. A 204 (1995) 188), it was shown that, contrary to the property of achromaticity (independence of wavelength) usually associated with topological phases, topological phases encountered in…

Optics · Physics 2007-05-23 Rajendra Bhandari

Transfer-matrix methods are used, in conjunction with finite-size scaling and conformal invariance concepts, to generate an accurate phase diagram for a two-dimensional square-lattice Ising spin-1/2 magnet, with couplings which are positive…

Statistical Mechanics · Physics 2009-10-23 S. L. A. de Queiroz

Using classical molecular dynamics simulations, we study austenite to ferrite phase transformation in iron, focusing on the role of interface morphology. We compare two different morphologies; a \textit{flat} interface in which the two…

Materials Science · Physics 2022-09-07 Pawan Kumar Tripathi , Shivraj Karewar , Yu-Chieh Lo , Somnath Bhowmick

Van der Waals (vdW) layered materials have rather weaker interlayer bonding than the intra-layer bonding, therefore the exfoliation along the stacking direction enables the achievement of monolayer or few layers vdW materials with emerging…

Magnetic anisotropy is a key parameter to describe the exchange bias effect in heterostructures. In this paper, we describe explicit density functional calculations of the magnetic structure of an interface between the industrially…

Materials Science · Physics 2025-09-03 Robert A. Lawrence , Matt I. J. Probert

We formulate a theoretical model of the shear failure of a thin film tethered to a rigid substrate. The interface between film and substrate is modeled as a cohesive layer with randomly fluctuating shear strength/fracture energy. We…

Materials Science · Physics 2009-11-13 Michael Zaiser , Paolo Moretti , Avraam Konstantinidis , Elias C Aifantis

We have investigated the effect of thermal fluctuation on the interlayer coupling of three-dimensional Josephson-junction arrays with anisotropic interactions as a model of layered high-$T_c$ oxides, focusing on non-Ohmic current-voltage…

Condensed Matter · Physics 2016-08-31 R. Sugano , T. Onogi , Y. Murayama

We study the effect of dielectric inhomogeneities on the interaction between two planparallel charged surfaces with oppositely charged mobile charges in between. The dielectric constant between the surfaces is assumed to be different from…

Soft Condensed Matter · Physics 2011-07-21 M. Kanduc , R. Podgornik
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