scholarly journals Smeared phase transition in a three-dimensional Ising model with planar defects: Monte Carlo simulations

2004 ◽  
Vol 69 (17) ◽  
Author(s):  
Rastko Sknepnek ◽  
Thomas Vojta
Keyword(s):  
Phase Transition ◽  
Monte Carlo ◽  
Ising Model ◽  
Monte Carlo Simulations ◽  
Three Dimensional ◽  
Planar Defects

ON SPONTANEOUS PARITY BREAKING IN THREE-DIMENSIONAL GAUGE-HIGGS SYSTEMS

1991 ◽  
Vol 06 (33) ◽  
pp. 3099-3112 ◽  
Author(s):  
J. AMBJØRN ◽  
K. FARAKOS ◽  
M. E. SHAPOSHNIKOV
Keyword(s):  
Phase Transition ◽  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Ground State ◽  
Three Dimensional ◽  
Spontaneous Breaking ◽  
Gauge Invariant ◽  
Local Gauge ◽  
Parity Breaking

We address the question of spontaneous breaking of parity in three-dimensional Euclidean SU(2) gauge-Higgs theory by Monte–Carlo simulations. We observe no sign of spontaneous parity breaking in the behavior of local gauge invariant operators. However, the presence of parity-odd terms in the action can induce a phase transition to a parity-odd ground state.

MONTE CARLO STUDIES OF THE THREE-DIMENSIONAL ISING MODEL IN EQUILIBRIUM

2001 ◽  
Vol 12 (07) ◽  
pp. 911-1009 ◽  
Author(s):  
MARTIN HASENBUSCH
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Monte Carlo Simulations ◽  
Three Dimensional ◽  
Finite Size ◽  
Two Dimensions ◽  
Three Dimensions ◽  
Amplitude Ratios ◽  
Interface Tension ◽  
Monte Carlo Studies

We review Monte Carlo simulations of the Ising model and similar models in three dimensions that were performed in the last decade. Only recently, Monte Carlo simulations provide more accurate results for critical exponents than field theoretic methods, such as the ∊-expansion. These results were obtained with finite size scaling and "improved actions". In addition, we summarize Monte Carlo results for universal amplitude ratios, the interface tension, and the dimensional crossover from three to two dimensions.

Surface and Size Effects in TGS, NaNO2, and DKDP Nanocrystals

2000 ◽  
Vol 655 ◽  
Author(s):  
Juan D. Romero ◽  
Luis F. Fonseca ◽  
Rafael Ramos ◽  
Manuel I. Marqués ◽  
Julio A. Gonzalo
Keyword(s):  
Phase Transition ◽  
Monte Carlo ◽  
Ising Model ◽  
Monte Carlo Simulations ◽  
Size Effects ◽  
Paraelectric Phase ◽  
Paraelectric Phase Transition ◽  
Model Hamiltonian ◽  
Phase Transition Temperatures ◽  
Polarization Temperature

AbstractMonte Carlo simulations of some typical order-disorder ferroelectrics such as TGS, NaNO2 and DKDP nanocrystals were studied using a Transverse Ising Model Hamiltonian with four-spins interactions. The microscopic parameters corresponding to this Hamiltonian were adjusted to fit the experimental polarization-temperature curves for each one of the materials in the bulk phase. Then the dependences of the ferroelectric-paraelectric phase transition temperatures, Tc, on the sizes of those crystals were studied with Monte Carlo simulations of the order-disorder system. We report a weak dependence of Tc on the size of the crystal (d) for these materials above d∼6nm. The addition of surface effects showed that the expected lowtemperature shift of Tc due to size effects, can be reverted.

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