Results 1  10
of
3,100
in Three Dimensions: Critical Properties from Fluctuating Boundary Conditions
, 1994
"... We present the results of a Monte Carlo study of the threedimensional XY model and the threedimensional antiferromagnetic threestate Potts model. In both cases we compute the difference in the free energies of a system with periodic and a system with antiperiodic boundary conditions in the neighb ..."
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We present the results of a Monte Carlo study of the threedimensional XY model and the threedimensional antiferromagnetic threestate Potts model. In both cases we compute the difference in the free energies of a system with periodic and a system with antiperiodic boundary conditions
Interfacial adsorption phenomena of the threedimensional threestate Potts model
, 1992
"... Abstract. We study the interfacial adsorption phenomena of the threestate ferromagnetic Potts model on the simple cubic lattice by the Monte Carlo method. Finitesize scaling analyses of the netadsorption yield the evidence of the phase transition being of firstorder and kBTC/J = 1.8166(2). 1 1 ..."
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Abstract. We study the interfacial adsorption phenomena of the threestate ferromagnetic Potts model on the simple cubic lattice by the Monte Carlo method. Finitesize scaling analyses of the netadsorption yield the evidence of the phase transition being of firstorder and kBTC/J = 1.8166(2). 1 1
ThreeState Antiferromagnetic Potts Model in Three Dimensions: Universality and Critical Amplitudes
"... We present the results of a Monte Carlo study of the threedimensional antiferromagnetic 3state Potts model. We compute various cumulants in the neighbourhood of the critical coupling. The comparison of the results with a recent high statistics study of the 3D XY model strongly supports the hypoth ..."
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Cited by 2 (0 self)
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We present the results of a Monte Carlo study of the threedimensional antiferromagnetic 3state Potts model. We compute various cumulants in the neighbourhood of the critical coupling. The comparison of the results with a recent high statistics study of the 3D XY model strongly supports
Segmentation of brain MR images through a hidden Markov random field model and the expectationmaximization algorithm
 IEEE TRANSACTIONS ON MEDICAL. IMAGING
, 2001
"... The finite mixture (FM) model is the most commonly used model for statistical segmentation of brain magnetic resonance (MR) images because of its simple mathematical form and the piecewise constant nature of ideal brain MR images. However, being a histogrambased model, the FM has an intrinsic limi ..."
Abstract

Cited by 639 (15 self)
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, the HMRFEM framework can easily be combined with other techniques. As an example, we show how the bias field correction algorithm of Guillemaud and Brady (1997) can be incorporated into this framework to achieve a threedimensional fully automated approach for brain MR image segmentation.
Rotationally symmetric ordered phase in the threestate antiferromagnetic Potts model
, 2008
"... We investigate the threestate antiferromagnetic Potts model on a simple cubic lattice with a cluster flipping Monte Carlo simulation algorithm in the temperature region below the transition into disorder at Tc1. We find both the well established brokensublatticesymmetry (BSS) phase at low tempera ..."
Abstract

Cited by 1 (0 self)
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We investigate the threestate antiferromagnetic Potts model on a simple cubic lattice with a cluster flipping Monte Carlo simulation algorithm in the temperature region below the transition into disorder at Tc1. We find both the well established brokensublatticesymmetry (BSS) phase at low
On the lowtemperature ordering of the 3D antiferromagnetic threestate Potts model
, 1995
"... The antiferromagnetic threestate Potts model on the simplecubic lattice is studied using Monte Carlo simulations. The ordering in a medium temperature range below the critical point is investigated in detail. Two di erent regimes have been observed: The socalled broken sublatticesymmetry phase d ..."
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The antiferromagnetic threestate Potts model on the simplecubic lattice is studied using Monte Carlo simulations. The ordering in a medium temperature range below the critical point is investigated in detail. Two di erent regimes have been observed: The socalled broken sublatticesymmetry phase
The threestate Potts model on a triangular lattice
, 1993
"... We study the phase diagram of the threestate Potts model on a triangular lattice with general interactions (ferro/antiferromagnetic) between nearest neighbor spins. When the interactions along two latticevector directions are antiferromagnetic and infinitely strong, this model becomes equivalent t ..."
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We study the phase diagram of the threestate Potts model on a triangular lattice with general interactions (ferro/antiferromagnetic) between nearest neighbor spins. When the interactions along two latticevector directions are antiferromagnetic and infinitely strong, this model becomes equivalent
Susceptibility amplitude ratio in the twodimensional threestate Potts model
, 2001
"... We analyze Monte Carlo simulation and seriesexpansion data for the susceptibility of the threestate Potts model in the critical region. The amplitudes of the susceptibility on the high and the lowtemperature sides of the critical point as extracted from the Monte Carlo data are in good agreement ..."
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We analyze Monte Carlo simulation and seriesexpansion data for the susceptibility of the threestate Potts model in the critical region. The amplitudes of the susceptibility on the high and the lowtemperature sides of the critical point as extracted from the Monte Carlo data are in good agreement
BITP 2000/20 The threedimensional, threestate Potts Model in an External Field
, 2000
"... We analyze the critical behaviour of the 3d, 3state Potts model in the presence of an external ordering field. From a finite size scaling analysis on lattices of size up to 703 we determine the critical endpoint of the line of first order phase transitions as (βc, hc) = (0.54938(2), 0.000775(10)) ..."
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.000775(10)). We determine the relevant temperature like and symmetry breaking directions at this second order critical point and explicitly verify that it is in the universality class of the 3d Ising model. The temperature driven first order phase transition of the threedimensional, threestate Potts model has
Phases of the threestate Potts model in three spatial dimensions
, 1993
"... The threestate Potts model is numerically investigated on threedimensional simple cubic lattices of up to 128 3 volume, concentrating on the neighborhood of the firstorder phase transition separating the ordered and disordered phases. In both phases clusters of like spins are observed with irregu ..."
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The threestate Potts model is numerically investigated on threedimensional simple cubic lattices of up to 128 3 volume, concentrating on the neighborhood of the firstorder phase transition separating the ordered and disordered phases. In both phases clusters of like spins are observed
Results 1  10
of
3,100