Search results for "ISING"
showing 10 items of 1141 documents
The challenge for school-based teacher educators : establishing teaching and supervision goals
2019
School-based teacher educators (SBTEs) should be able to set goals in two roles – as a teacher and as a supervisor of student teachers. The purpose of the study was to investigate school-based teacher educators’ teaching and supervising goals and to identify how teachers in the role of supervisors perceived university expectations. Thematic analysis indicated that teachers have difficulty establishing goals for themselves as teachers and supervisors. Their teaching goals proceeded from curricula and focused on their pupils’ cognitive development, whilst their perceptions about supporting pupils’ social development were vague. Teachers were unaware of what exactly universities expected of th…
Surface-directed spinodal decomposition: modelling and numerical simulations
1997
We critically review the modelling and simulations of surface-directed spinodal decomposition, namely, the dynamics of phase separation of a critical or near-critical binary mixture in the presence of a surface with a preferential attraction for one of the components of the mixture.
Droplets pinned at chemically inhomogenous substrates: A simulation study of the two-dimensional Ising case
2016
As a simplified model of a liquid nanostripe adsorbed on a chemically structured substrate surface, a two-dimensional Ising system with two boundaries at which surface fields act is studied. At the upper boundary, the surface field is uniformly negative, while at the lower boundary (a distance L apart), the surface field is negative only outside a range of extension b, where a positive surface stabilizes a droplet of the phase with positive magnetization for temperatures T exceeding the critical temperature Tw of the wetting transition of this model. We investigate the local order parameter profiles across the droplet, both in the directions parallel and perpendicular to the substrate, vary…
Surface-induced ordering and disordering in face-centered-cubic alloys: A Monte Carlo study
1996
Using extensive Monte Carlo simulations we have studied phase transitions in a fcc model with antiferromagnetic nearest-neighbor couplings $J$ in the presence of different free surfaces which lead either to surface-induced order or to surface-induced disorder. Our model is a prototype for CuAu-type ordering alloys and shows a strong first-order bulk transition at a temperature $\frac{k{T}_{\mathrm{cb}}}{|J|}=1.738005(50)$. For free (100) surfaces, we find a continuous surface transition at a temperature ${T}_{\mathrm{cs}}g{T}_{\mathrm{cb}}$ exhibiting critical exponents of the two-dimensional Ising model. Surface-induced ordering occurs as the temperature approaches ${T}_{\mathrm{cb}}$ and …
A new boundary-controlled phase transition: Phase separation in an Ising bi-pyramid with competing surface fields
2005
We study phase coexistence of an Ising ferromagnet in a bi-pyramid geometry with a square basal plane of linear extension 2L + 1. Antisymmetric surface fields act on the pyramid surfaces above and below the basal plane. In the limit L → ∞, the magnetisation stays zero at the bulk critical temperature, but becomes discontinuously non-zero at the cone filling critical temperature associated with a single pyramid. Monte Carlo simulations and scaling considerations show that this transition is described by a Landau theory with size-dependent coefficients that give rise to singular critical amplitudes.
Critical behavior of the surface-layer magnetization at the extraordinary transition in the three-dimensional Ising model.
1990
We have used a vectorized multispin-coding Monte Carlo method to determine the behavior of the surface-layer magnetization ${\mathit{m}}_{1}$ at the bulk transition in a simple-cubic Ising film with strongly enhanced surface coupling, i.e., at the extraordinary transition. In contrast to recent renormalization-group calculations we find no evidence for a discontinuous slope in the temperature dependence of ${\mathit{m}}_{1}$; the data are consistent with a free-energy-like (T-${\mathit{T}}_{\mathit{c}}$${)}^{2\mathrm{\ensuremath{-}}\mathrm{\ensuremath{\alpha}}}$ behavior plus background terms.
Universal critical behavior of curvature-dependent interfacial tension.
2011
From the analysis of Monte Carlo simulations of a binary Lennard-Jones mixture in the coexistence region, we provide evidence that the curvature dependence of the interfacial tension can be described by a simple theoretical function σ(R)ξ(2)=C(1)/[1+C(2)(ξ/R)(2)], where ξ is the correlation length and R is the droplet radius. The universal constants C(1) and C(2) are estimated. In the model, a Tolman length is strictly absent, but, since its critical behavior is believed to be much weaker than ξ, we argue that it only provides a correction to scaling and does not affect the leading critical behavior, which should be described by the above function for any system in the Ising universality cl…
Monte Carlo studies of anisotropic surface tension and interfacial roughening in the three-dimensional Ising model.
1989
Extensive Monte Carlo simulations of the simple cubic Ising model with nearest-neighbor ferromagnetic interactions with a tilted interface are presented for a wide range of lattice size L, temperature T, and tilt angles \ensuremath{\theta}. The anisotropic interfacial tension is studied in detail. From the small-angle data, we obtain the step free energy density ${f}_{S}$(T,L). Finite-size scaling of the step free energy density is discussed and used to probe the predicted temperature dependence of the correlation length near and above the roughening transition. The square-root temperature dependence predicted by solid-on-solid model calculations is exhibited. Finite-size scaling implies th…
Social Intervention in Traffic Safety
2001
Traffic accidents during the transport of merchandise or passengers on roads and highways have, from the beginning, taken by surprise those who have experienced them themselves or involving persons close to them, as well as those who have witnessed accidents or, in one way or another, helped to alleviate their effects. They say that Albert Einstein commented after the death of a friend: “The worst thing is not only the fact that traffic accidents occur, but also how little we know about why they happen and how little we do to prevent them...”