403 research outputs found
Monte Carlo Study of Order-Disorder Layering Transitions in the Blume-Capel Model
The order-disorder layering transitions, of the Blume-Capel model, are
studied using the Monte Carlo (MC) simulations, in the presence of a variable
crystal field. For a very low temperature, the results are in good agreement
with the ground state study. The first order transition line, found for low
temperatures, is connected to the second order transition line, seen for higher
temperatures, by a tri-critical point, for each layer. The reentrant phenomena,
caused by a competition of thermal fluctuations and an inductor magnetic field
created by the deeper layers, is found for the first layers from the
surface, where is exactly the number of layering transitions allowed by
the ground state study. The layer magnetizations , the magnetic
susceptibilities and the quadrupolar magnetic susceptibilities
and the corresponding critical exponent, for each layer , are
also investigated.Comment: 10 pages Latex, 9 figures Postscript forma
Order-disorder layering transitions of a spin-1 Ising model in a variable crystal field
The magnetic order-disorder layering transitions of a spin-1 Ising model are
investigated, under the effect of a variable surface crystal field
, using the mean field theory. Each layer , of the film formed
with layers, disorders at a finite surface crystal field distributed
according to the law , and
being a positive constant. We have established the temperature-crystal field
phase diagrams and found a constant tricritical point and a reentrant
phenomenon for the first layers. This reentrant phenomenon is absent for
the remaining layers, but the tricritical points subsist and depend
not only on the film thickness but also on the exponent . On the other
hand, the thermal behaviour of the surface magnetisation for a fixed value of
the surface crystal field and selected values of the parameter
are established.Comment: 10 Pages Latex, 9 Figures Postscript. To appear in JMMM (2002
Incommensurate nodes in the energy spectrum of weakly coupled antiferromagnetic Heisenberg ladders
Heisenberg ladders are investigated using the bond-mean-field theory
[M.Azzouz, Phys. Rev. B 48, 6136 (1993)]. The zero inter-ladder coupling energy
gap, the uniform spin susceptibility and the nuclear magnetic resonance
spin-relaxation rate are calculated as a function of temperature and magnetic
field. For weakly coupled ladders, the energy spectrum vanishes at
incommensurate wavevectors giving rise to nodes. As a consequence, the spin
susceptibility becomes linear at low temperature. Our results for the single
ladder successfully compare to experiments on SrCu_2O_3 and (VO)_2P_2O_7
materials and new predictions concerning the coupling to the magnetic field are
made.Comment: 4 revtex pages, 3 figures available upon reques
Edge wetting of an Ising three-dimensional system
The effect of edge on wetting and layering transitions of a three-dimensional
spin-1/2 Ising model is investigated, in the presence of longitudinal and
surface magnetic fields, using mean field (MF) theory and Monte Carlo (MC)
simulations. For T=0, the ground state phase diagram shows that there exist
only three allowed transitions, namely: surface and bulk transition, surface
transition and bulk transition. However, there exist a surface intra-layering
temperature , above which the surface and the intra-layering surface
transitions occur. While the bulk layering and intra-layering transitions
appear above an other finite temperature . These
surface and bulk intra-layering transitions are not seen in the perfect
surfaces case.
Numerical values of and , computed by Monte Carlo
method are found to be smaller than those obtained using mean field theory.
However, the results predicted by the two methods become similar, and are
exactly those given by the ground state phase diagram, for very low
temperatures. On the other hand, the behavior of the local magnetizations as a
function of the external magnetic field, shows that the transitions are of the
first order type. and decrease when increasing the
system size and/or the surface magnetic field. In particular,
reaches the wetting temperature for sufficiently large system sizes.Comment: 11 Pages latex, 12 Figures P
A Monte Carlo study of random surface field effect on layering transitions
The effect of a random surface field, within the bimodal distribution, on the
layering transitions in a spin-1/2 Ising thin film is investigated, using Monte
Carlo simulations. It is found that the layering transitions depend strongly on
the concentration of the disorder of the surface magnetic field, for a
fixed temperature, surface and external magnetic fields. Indeed, the critical
concentration at which the magnetisation of each layer changes the
sign discontinuously, decreases for increasing the applied surface magnetic
field, for fixed values of the temperature and the external magnetic field
. Moreover, the behaviour of the layer magnetisations as well as the
distribution of positive and negative spins in each layer, are also established
for specific values of , , and the temperature . \\Comment: 5 pages latex, 6 figures postscrip
Crossover component in non critical dissipative sandpile models
The effect of bulk dissipation on non critical sandpile models is studied
using both multifractal and finite size scaling analyses. We show numerically
that the local limited (LL) model exhibits a crossover from multifractal to
self-similar behavior as the control parameters and turn
towards their critical values, i.e. and . The critical exponents are not universal and exhibit a continuous
variation with . On the other hand, the finite size effects for the
local unlimited (LU), non local limited (NLL), and non local unlimited (NLU)
models are well described by the multifractal analysis for all values of
dissipation rate . The space-time avalanche structure is studied in
order to give a deeper understanding of the finite size effects and the origin
of the crossover behavior. This result is confirmed by the calculation of the
susceptibility.Comment: 13 pages, 10 figures, Published in European Physical Journal
Effect of disorder in magnetic and biological systems
Using replica formalism, a generalization of a recent mean field model corresponding to the observed wrinkling transition in randomly polymerized membranes, and a generalization of Schneider and Pytte model to the l-component classical spin vector model are presented. In the first model, we study the effects of global fluctuations of the surface normal to the flat membrane, which can be introduced by a random local field. In absence of these global fluctuations, we show that, the model exhibits both continuous and discontinuous transitions between flat and wrinkled phases, contrary to what has been predicted by Bensimon et al and Attal et al. Phase diagrams both in replica symmetry and in breaking of replica symmetry in sense of Almeida and Thouless are given. We have also investigated the effects of global fluctuations on the replica symmetry phase diagram. We show that, the wrinkled phase is favored and the flat phase is unstable. For large global fluctuations, the transition between wrinkled and flat phases becomes first order. In the second model, effects of a Gaussian random field on the phase transition of the l-component classical spin vector model are investigated. The phase diagrams are obtained in the cases l=1 and l=3, in opposite to what has been predicted by Schneided and Pytte. The results we obtain, for l=1 and l=3 show that the model exhibits a second-order, tricritical point and a first-order transition depending on the value of the =random field.Using replica formalism, a generalization of a recent mean field model corresponding to the observed wrinkling transition in randomly polymerized membranes, and a generalization of Schneider and Pytte model to the l-component classical spin vector model are presented. In the first model, we study the effects of global fluctuations of the surface normal to the flat membrane, which can be introduced by a random local field. In absence of these global fluctuations, we show that, the model exhibits both continuous and discontinuous transitions between flat and wrinkled phases, contrary to what has been predicted by Bensimon et al and Attal et al. Phase diagrams both in replica symmetry and in breaking of replica symmetry in sense of Almeida and Thouless are given. We have also investigated the effects of global fluctuations on the replica symmetry phase diagram. We show that, the wrinkled phase is favored and the flat phase is unstable. For large global fluctuations, the transition between wrinkled and flat phases becomes first order. In the second model, effects of a Gaussian random field on the phase transition of the l-component classical spin vector model are investigated. The phase diagrams are obtained in the cases l=1 and l=3, in opposite to what has been predicted by Schneided and Pytte. The results we obtain, for l=1 and l=3 show that the model exhibits a second-order, tricritical point and a first-order transition depending on the value of the =random field
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