Propagation of long range order in an extremely anisotropic 2D Ising system at very low temperatures — accelerative convergence Monte Carlo method

1990 ◽  
Vol 90-91 ◽  
pp. 287-288
Author(s):  
S. Ozawa ◽  
T. Kobayashi ◽  
S. Kamata ◽  
T. Haseda
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Long Range ◽  
Low Temperatures ◽  
Range Order ◽  
Long Range Order ◽  
Ising System

Long-Range Order at Low Temperatures in Dipolar Spin Ice

2001 ◽  
Vol 87 (6) ◽  
Author(s):  
Roger G. Melko ◽  
Byron C. den Hertog ◽  
Michel J. P. Gingras
Keyword(s):  
Long Range ◽  
Low Temperatures ◽  
Range Order ◽  
Long Range Order ◽  
Spin Ice

ORDERING PROBLEM FOR THE ANTIFERROMAGNETIC POTTS MODEL: T=0 MONTE-CARLO STUDIES

1991 ◽  
Vol 05 (19) ◽  
pp. 3061-3071 ◽  
Author(s):  
A.V. BAKAEV ◽  
V.I. KABANOVICH ◽  
A.M. KURBATOV
Keyword(s):  
Monte Carlo ◽  
Long Range ◽  
Potts Model ◽  
Triangular Lattice ◽  
Lattice Models ◽  
Range Order ◽  
Square Lattice ◽  
Long Range Order ◽  
Monte Carlo Studies ◽  
Antiferromagnetic Potts Model

AF Potts model MC dynamics at T=0 is considered. It is shown that q=3 square lattice and q=4 triangular lattice models are frozen for local MC algorithm. The nature of the previously discussed long-range order phases is examined and entropically favored states are considered.

scholarly journals Coexistence of diagonal and off-diagonal long-range order: A Monte Carlo study

1994 ◽  
Vol 72 (22) ◽  
pp. 3598-3601 ◽  
Author(s):  
Anne van Otterlo ◽  
Karl-Heinz Wagenblast
Keyword(s):  
Monte Carlo ◽  
Long Range ◽  
Monte Carlo Study ◽  
Range Order ◽  
Long Range Order

LONG-RANGE ORDER FOR THE 3-STATE SQUARE LATTICE POTTS MODEL WITH ANTIFERROMAGNETIC “THE MOVE OF THE KNIGHT” INTERACTIONS

1996 ◽  
Vol 10 (15) ◽  
pp. 731-736
Author(s):  
A.V. BAKAEV ◽  
V.I. KABANOVICH
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Long Range ◽  
Potts Model ◽  
Ground State ◽  
Nearest Neighbor ◽  
Two Dimensions ◽  
Range Order ◽  
Square Lattice ◽  
Long Range Order

The 3-state square lattice Potts model with interactions of spins belonging to the different sublattices, the nearest-neighbor (NN) interaction and “the move of the knight” (MK) antiferromagnetic interactions which also couples spins on the sublattice A to spins on B, is studied by Monte Carlo simulations. It is shown that the MK-interactions stabilizes the BSS phase in two dimensions, preserving macroscopic degeneracy of the ground state. In a range of competing ferromagnetic (NN) interactions “stripes” or “double-stripes” phases are found.

Strain distributions and diffraction peak profiles from crystals with dislocations

2014 ◽  
Vol 70 (5) ◽  
pp. 457-471 ◽  
Author(s):  
Vladimir M. Kaganer ◽  
Karl K. Sabelfeld
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Long Range ◽  
Power Law ◽  
Strain Distribution ◽  
Close Agreement ◽  
Analytical Calculation ◽  
Diffraction Peak ◽  
Long Range Order ◽  
The Monte Carlo Method

Diffraction profiles for different models of dislocation arrangements are calculated directly by the Monte Carlo method and compared with the strain distributions for the same arrangements, which corresponds to the Stokes–Wilson approximation. It is shown that the strain distributions and the diffraction profiles are in close agreement as long as long-range order is absent. Analytical calculation of the strain distribution for uncorrelated defects is presented. For straight dislocations, the Stokes–Wilson and the Krivoglaz–Wilkens approximations give the same diffraction profiles, with the Gaussian central part and ∝q−3power law at the tails.

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