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We study the spin-1 Ising model with bilinear and biquadratic exchange interactions and single-ion crystal field. In addition to the four usual phases: disordered DIS, ferromagnetic FER, antiquadrupolar AQU and ferrimagnetic FRI, we found…

Statistical Mechanics · Physics 2015-06-25 H. Ez-Zahraouy , L. Bahmad , A. Benyoussef

Thin surfaces are ubiquitous in nature, from leaves to cell membranes, and in technology, from paper to corrugated containers. Structural thinness imbues them with flexibility, the ability to easily bend under light loads, even as their…

Soft Condensed Matter · Physics 2025-10-22 Wenqian Sun , Yanxin Feng , Christian D. Santangelo , D. Zeb Rocklin

A review is given on some recent developments in the theory of the Ising model in a random field. This model is a good representation of a large number of impure materials. After a short repetition of earlier arguments, which prove the…

Statistical Mechanics · Physics 2008-02-03 T. Nattermann

In this thesis, we present results on phase transition for two models: the semi-infinite Ising model with a decaying field, and the long-range Ising model with a random field. We study the semi-infinite Ising model with an external field…

Mathematical Physics · Physics 2024-03-11 João Maia

We study the critical behavior of the Ising spin glass in five spatial dimensions through large-scale Monte Carlo simulations and finite-size scaling analysis. Numerical evidence for a phase transition is found both with and without an…

Disordered Systems and Neural Networks · Physics 2025-12-01 M. Aguilar-Janita , V. Martin-Mayor , J. Moreno-Gordo , J. J. Ruiz-Lorenzo

An interphase boundary may be immobilized due to nonlinear diffractional interactions in a feedback optical device. This effect reminds of the Turing mechanism, with the optical field playing the role of a diffusive inhibitor. Two examples…

patt-sol · Physics 2009-10-30 L. M. Pismen

Adsorption at a 1-dimensional planar substrate equipped with a localized chemical inhomogeneity is studied within the framework of a continuum interfacial model from the point of view of interfacial morphology and correlation function…

Statistical Mechanics · Physics 2017-08-31 P Jakubczyk , M. Napiorkowski

The emergence of magnetism in otherwise nonmagnetic compounds and its underlying mechanisms have become the subject of intense research. Here we demonstrate that the nonmagnetic oxygen vacancies are responsible for an unconventional…

Mesoscale and Nanoscale Physics · Physics 2013-11-15 N. Pavlenko , T. Kopp , J. Mannhart

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

We study the critical properties of a two--dimensional Ising model with competing ferromagnetic exchange and dipolar interactions, which models an ultra-thin magnetic film with high out--of--plane anisotropy in the monolayer limit. In this…

Statistical Mechanics · Physics 2009-07-09 S. A. Pighin , S. A. Cannas

We analyze an axisymmetric magnetohydrodynamics configuration, describing the morphology of a purely differentially rotating thin plasma disk, in which linear and non-linear perturbations are triggered associated with microscopic magnetic…

Solar and Stellar Astrophysics · Physics 2018-10-02 Giovanni Montani , Mariachiara Rizzo , Nakia Carlevaro

We study the interplay between wetting and miscibility of a symmetric polymer mixture via MC simulations and SCF calculations. The film surfaces interact with the monomers via short ranged potentials and the wetting transition is of first…

Soft Condensed Matter · Physics 2007-05-23 Marcus Mueller , Kurt Binder

With simple, exact arguments we show that the surface magnetization $m_1$ at the extraordinary and normal transitions and the surface energy density $\epsilon_1$ at the ordinary, extraordinary, and normal transitions of semi-infinite…

Condensed Matter · Physics 2009-10-22 Theodore W. Burkhardt , H. W. Diehl

The nature of magnetic order and transport properties near surfaces is a topic of great current interest. Here we model metal-insulator interfaces with a multi-layer system governed by a tight-binding Hamiltonian in which the interaction is…

Strongly Correlated Electrons · Physics 2012-06-14 A. Euverte , F. Hébert , S. Chiesa , R. T. Scalettar , G. G. Batrouni

We study the steady state structure and dynamics of a 2-d Ising interface placed in an inhomogeneous external field with a sigmoidal profile which moves with velocity $v_{e}$. In the strong coupling limit the problem maps onto an…

Soft Condensed Matter · Physics 2007-07-17 Abhishek Chaudhuri , Surajit Sengupta

A convenient way to study phase transitions of finite spins systems of linear size $L$ is to fix boundary conditions that impose the presence of a system-size interface. In this paper, we study the statistical properties of such an…

Disordered Systems and Neural Networks · Physics 2008-04-08 Cecile Monthus , Thomas Garel

We study the effects of dilution to the critical properties of site-diluted Ising model in two dimensions using Monte Carlo simulations. Quenched disorder from the dilution is incorporated into the Ising model via random empty sites on the…

Statistical Mechanics · Physics 2023-05-19 Eduardo C. Cuansing

Waveguides subject to spatiotemporal modulations are known to exhibit nonreciprocal vibration transmission, whereby interchanging the locations of the source and receiver change the end-to-end transmission characteristics. The scenario of…

Applied Physics · Physics 2025-10-20 Jiuda Wu , Behrooz Yousefzadeh

Non-monotonic differential resistance (dV/dI) is observed in magnetically induced insulating films which exhibit apparent superconductor-metal-insulator transitions in the low temperature limit; at low bias currents the nonlinear transport…

Superconductivity · Physics 2009-11-11 C. L. Vicente , Yongguang Qin , Jongsoo Yoon

We study the phase diagram of a class of models in which a generalized cluster interaction can be quenched by Ising exchange interaction and external magnetic field. We characterize the various phases through winding numbers. They may be…

Statistical Mechanics · Physics 2017-09-06 Wei Nie , Feng Mei , Luigi Amico , Leong Chuan Kwek
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