Monte Carlo simulations in the vicinity of the critical point: Vapour-liquid coexistence curve

1995 ◽  
Vol 45 (10) ◽  
pp. 793-798 ◽  
Author(s):  
I. Nezbeda ◽  
M. Strnad
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Critical Point ◽  
Coexistence Curve

SIMULATION STUDIES OF THE IMPURE ATOMS DIFFUSION ON Cu(001) SURFACE

2004 ◽  
Vol 18 (17n19) ◽  
pp. 2766-2770
Author(s):  
GUOCE ZHUANG
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Critical Point ◽  
Kinetic Monte Carlo ◽  
Diffusion Mechanism ◽  
Indium Atom ◽  
Simulation Studies ◽  
Kinetic Monte Carlo Simulations ◽  
Simulation Results ◽  
Close Packed Layer

Based on the vacancy-assisted diffusion mechanism, the impure atomic moving processes on the close-packed layer of a Cu (001) surface are studied by kinetic Monte Carlo simulations. Our simulation results show that the diffusivity of the Indium atom agrees quite well with the exact lattice solution. In addition, it is found that in the case of muti-impure atoms, there exist a critical point near the value of ∊=0, and the diffusivity of In atom depends on the number of impure atoms only when ∊ is positive.

ISING CLUSTER FRAGMENTATION AT THE CRITICAL POINT

1999 ◽  
Vol 10 (06) ◽  
pp. 1059-1063
Author(s):  
MUYOUNG HEO ◽  
MOOKYUNG CHEON ◽  
IKSOO CHANG ◽  
DIETRICH STAUFFER
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Monte Carlo Simulations ◽  
Critical Point ◽  
Curie Point ◽  
Scaling Law ◽  
Two Dimensional ◽  
Critical Percolation ◽  
Percolation Clusters ◽  
Cluster Fragmentation

The scaling law of Edwards et al., for cluster fragmentation of critical percolation clusters is not confirmed by analogous Monte Carlo simulations at the Curie point of the two-dimensional Ising model.

PHASE EQUILIBRIA IN THIN POLYMER FILMS

2001 ◽  
Vol 15 (13) ◽  
pp. 1867-1903 ◽  
Author(s):  
M. MÜLLER ◽  
K. BINDER ◽  
E. V. ALBANO
Keyword(s):  
Phase Diagram ◽  
Monte Carlo ◽  
Film Thickness ◽  
Monte Carlo Simulations ◽  
Phase Behavior ◽  
Critical Point ◽  
Critical Points ◽  
Infinite System ◽  
Surface Interactions ◽  
Surface Fields

Within self-consistent field theory and Monte Carlo simulations the phase behavior of a symmetrical binary AB polymer blend confined into a thin film is studied. The film surfaces interact with the monomers via short ranged potentials. One surface attracts the A component and the corresponding semi-infinite system exhibits a first order wetting transition. The surface interaction of the opposite surface is varied as to study the crossover from capillary condensation for symmetric surface fields to interface localization/delocalization transition for antisymmetric surface fields. In the former case the phase diagram has a single critical point close to the bulk critical point. In the latter case the phase diagram exhibits two critical points which correspond to the prewetting critical points of the semi-infinite system. Only below a triple point there is a single two-phase coexistence region. The crossover between these qualitatively different limiting behaviors occurs gradually, however, the critical temperature and the critical composition exhibit a non-monotonic dependence on the surface field. The dependence of the phase behavior for antisymmetric boundaries is studied as a function of the film thickness and the strength of the surface interactions. Upon reducing the film thickness or decreasing the strength of the surface interactions we can change the order of the interface localization/delocalization transition from first to second. The role of fluctuations is explored via Monte Carlo simulations of a coarse grained lattice model. Close to the (prewetting) critical points we observe 2D Ising critical behavior. Also, there is a rich crossover behavior between Ising critical, tricritical and mean field behavior. At lower temperatures capillary waves of the AB interface lead to a pronounced dependence of the effective interface potential on the lateral system size.

Low-voltage EDS of magnesium ferrite Dendrites in a FEG-SEM

1996 ◽  
Vol 54 ◽  
pp. 478-479
Author(s):  
Matthew T. Johnson ◽  
Ian M. Anderson ◽  
Jim Bentley ◽  
C. Barry Carter
Keyword(s):  
Monte Carlo ◽  
Quantitative Analysis ◽  
Monte Carlo Simulations ◽  
Cross Section ◽  
Spatial Resolution ◽  
Low Voltage ◽  
Magnesium Ferrite ◽  
X Ray ◽  
Interaction Volume ◽  
Ferrite Spinel

Energy-dispersive X-ray spectrometry (EDS) performed at low (≤ 5 kV) accelerating voltages in the SEM has the potential for providing quantitative microanalytical information with a spatial resolution of ∼100 nm. In the present work, EDS analyses were performed on magnesium ferrite spinel [(MgxFe1−x)Fe2O4] dendrites embedded in a MgO matrix, as shown in Fig. 1. spatial resolution of X-ray microanalysis at conventional accelerating voltages is insufficient for the quantitative analysis of these dendrites, which have widths of the order of a few hundred nanometers, without deconvolution of contributions from the MgO matrix. However, Monte Carlo simulations indicate that the interaction volume for MgFe2O4 is ∼150 nm at 3 kV accelerating voltage and therefore sufficient to analyze the dendrites without matrix contributions.Single-crystal {001}-oriented MgO was reacted with hematite (Fe2O3) powder for 6 h at 1450°C in air and furnace cooled. The specimen was then cleaved to expose a clean cross-section suitable for microanalysis.

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