Wetting and layering in the nearest-neighbor simple-cubic Ising lattice: A Monte Carlo investigation

1988 ◽  
Vol 37 (4) ◽  
pp. 1745-1765 ◽  
Author(s):  
K. Binder ◽  
D. P. Landau
Keyword(s):  
Monte Carlo ◽  
Nearest Neighbor ◽  
Ising Lattice ◽  
Simple Cubic ◽  
Monte Carlo Investigation

scholarly journals 3D ISING NONUNIVERSALITY: A MONTE CARLO STUDY

2005 ◽  
Vol 16 (08) ◽  
pp. 1217-1224 ◽  
Author(s):  
MELANIE SCHULTE ◽  
CAROLINE DROPE
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
External Field ◽  
Nearest Neighbor ◽  
Monte Carlo Study ◽  
Universality Class ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Binder Cumulant

We investigate as a member of the Ising universality class the Next-Nearest Neighbor Ising model without external field on a simple cubic lattice by using the Monte Carlo Metropolis Algorithm. The Binder cumulant and the susceptibility ratio, which should be universal quantities at the critical point, were shown to vary for small negative next-nearest neighbor interactions.

MONTE CARLO SIMULATION OF THE CRITICAL PROPERTIES OF QUASI-TWO-DIMENSIONAL QUANTUM HEISENBERG SYSTEMS

1994 ◽  
Vol 01 (02n03) ◽  
pp. 239-252 ◽  
Author(s):  
I.V. ROJDESTVENSKI ◽  
M.G. COTTAM ◽  
I.A. FAVORSKI ◽  
T. KUZNETSOVA ◽  
P.N. VORONTSOV-VELYAMINOV
Keyword(s):  
Monte Carlo ◽  
Critical Behavior ◽  
Ultrathin Films ◽  
Nearest Neighbor ◽  
Spin Correlation ◽  
Two Dimensional ◽  
Critical Properties ◽  
Simple Cubic ◽  
Correlation Range ◽  
Exchange Parameters

The critical properties of spin S=1/2 isotropic Heisenberg ferromagnetic ultrathin films are investigated using the Handscomb Monte Carlo technique. We study a simple cubic lattice with nearest neighbor interactions, including the effects of different values for the interlayer and intralayer exchange parameters. The number of monolayers is taken as 1, 2, or 3, and also we examine the effects of dilution in one of the layers. Numerical calculations are presented for the critical behavior of the longitudinal susceptibility and the spin correlation range. The results are interpreted in terms of a two-dimensional type of critical behavior with renormalized (modified) exchange parameters.

Monte Carlo Investigation of Rare Magnetization Fluctuations in Ising Models

1998 ◽  
Vol 09 (04) ◽  
pp. 625-631 ◽  
Author(s):  
D. Stauffer
Keyword(s):  
Monte Carlo ◽  
Power Law ◽  
Ising Models ◽  
Magnetization Distribution ◽  
Stretched Exponential ◽  
Simple Cubic ◽  
Monte Carlo Investigation

For square and simple cubic Ising models at T=Tc, we look at the tails of the magnetization distribution for untypically large magnetizations. No indications for a stretched exponential or power law behavior are found.

Solid-on-Solid Monte Carlo Investigation of Islanding Kinetics During Heteroepitaxy

1995 ◽  
Vol 399 ◽  
Author(s):  
Ken Payne ◽  
Jeff Drucker
Keyword(s):  
Monte Carlo ◽  
Interaction Strength ◽  
Nucleation Theory ◽  
Island Size ◽  
Nucleation Barrier ◽  
Simple Cubic ◽  
Monte Carlo Investigation ◽  
Mc Simulation ◽  
Film Nucleation ◽  
Kinetics Of

ABSTRACTWe have investigated the kinetics of islanding during heteroepitaxy using a solid-on-solid Monte Carlo (SOS-MC) simulation. We simulate deposition by randomly depositing atoms onto a square grid with periodic boundary conditions. Arrhenius surface diffusion kinetics are dependent on the sum of a surface energy barrier (Ed) and the number of nearest neighbors multiplied by an adatom interaction strength (Eb). We confine growth to the first layer above the simple cubic substrate and investigate coverages < 1/2 monolayer. We monitor the evolution of film microstructure by producing island size distributions and plots which compare a cluster's area to perimeter ratio with that of a circle. We find that our simulation qualitatively correlates with results of classical film nucleation theory. A simple model is used to demonstrate the existence of a 'probabilistic nucleation barrier'.

scholarly journals SPIN RESISTIVITY IN THE FRUSTRATED J1 - J2 MODEL

2011 ◽  
Vol 25 (12n13) ◽  
pp. 937-945 ◽  
Author(s):  
DANH-TAI HOANG ◽  
YANN MAGNIN ◽  
H. T. DIEP
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Nearest Neighbors ◽  
Order Transition ◽  
Ising Lattice ◽  
First Order ◽  
Simple Cubic ◽  
First Order Transition ◽  
Dependent Interaction

We study in this paper the resistivity encountered by Ising itinerant spins traveling in the so-called J1 - J2 frustrated simple cubic Ising lattice. For the lattice, we take into account the interactions between nearest-neighbors and next-nearest-neighbors, J1 and J2 respectively. Itinerant spins interact with lattice spins via a distance-dependent interaction. We also take into account an interaction between itinerant spins. The lattice is frustrated in a range of J2 in which we show that it undergoes a very strong first-order transition. Using Monte Carlo simulation, we calculate the resistivity ρ of the itinerant spins and show that the first-order transition of the lattice causes a discontinuity of ρ.

scholarly journals Kinetic Monte Carlo Investigation of the Effects of Vacancy Pairing on Oxygen Diffusivity in Yttria-Stabilized Zirconia

2011 ◽  
Vol 1331 ◽  
Author(s):  
Brian S. Good
Keyword(s):  
Monte Carlo ◽  
Solid Electrolytes ◽  
Oxygen Vacancies ◽  
Nearest Neighbor ◽  
Kinetic Monte Carlo ◽  
High Energy ◽  
Oxygen Diffusivity ◽  
Low Concentrations ◽  
Migration Barriers ◽  
Monte Carlo Investigation

ABSTRACTYttria-stabilized zirconia’s high oxygen diffusivity and corresponding high ionic conductivity, and its structural stability over a broad range of temperatures, have made the material of interest for use in a number of applications, for example, as solid electrolytes in fuel cells. At low concentrations, the stabilizing yttria also serves to increase the oxygen diffusivity through the presence of corresponding oxygen vacancies, needed to maintain charge neutrality. At higher yttria concentration, however, diffusivity is impeded by the larger number of relatively high energy migration barriers associated with yttrium cations. In addition, there is evidence that oxygen vacancies preferentially occupy nearest-neighbor sites around either dopant or Zr cations, further affecting vacancy diffusion. We present the results of ab initio calculations that indicate that it is energetically favorable for oxygen vacancies to occupy nearest-neighbor sites adjacent to Y ions, and that the presence of vacancies near either species of cation lowers the migration barriers. Kinetic Monte Carlo results from simulations incorporating this effect are presented and compared with results from simulations in which the effect is not present.

Monte Carlo Simulations in the Fully Frustrated Simple Cubic Ising Lattice

1986 ◽  
Vol 55 (11) ◽  
pp. 3778-3785 ◽  
Author(s):  
Yoshiko Narita ◽  
Ikuo Ono ◽  
Takehiko Oguchi
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Ising Lattice ◽  
Simple Cubic
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