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PROPERTIES OF LINEAR INTEGRAL EQUATIONS RELATED TO THE SIXVERTEX MODEL WITH DISORDER PARAMETER II
"... Abstract. We study certain functions arising in the context of the calculation of correlation functions of the XXZ spin chain and of integrable field theories related with various scaling limits of the underlying sixvertex model. We show that several of these functions that are related to linear in ..."
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series expansions of the master function. This provides an efficient calculation scheme for the hightemperature expansions of the derived functions as well. 1.
Phase diagrams of site diluted ferromagnetic semi infinite system
"... The spin correlations functions of facecentered cubic semiinfinite system are investigated by using the high temperature series expansions extrapolated with the Padé approximant method for Heisenberg, XY and Ising models. The τ c ν versus the dilution x are obtained. The value obtained of the perc ..."
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The spin correlations functions of facecentered cubic semiinfinite system are investigated by using the high temperature series expansions extrapolated with the Padé approximant method for Heisenberg, XY and Ising models. The τ c ν versus the dilution x are obtained. The value obtained
In t.
, 2002
"... We have calculated the lowtemperature series expansions of the spontaneous magnetization and the zeroeld susceptibility of the squarelattice ferromagnetic Ising model with rstneighbour interaction J1 and secondneighbour interaction J2 to the 30th and 26th order respectively by computer. Our re ..."
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We have calculated the lowtemperature series expansions of the spontaneous magnetization and the zeroeld susceptibility of the squarelattice ferromagnetic Ising model with rstneighbour interaction J1 and secondneighbour interaction J2 to the 30th and 26th order respectively by computer. Our
Assembly of protein tertiary structures from fragments with similar local sequences using simulated annealing and Bayesian scoring functions
 J. MOL. BIOL
, 1997
"... We explore the ability of a simple simulated annealing procedure to assemble nativelike structures from fragments of unrelated protein structures with similar local sequences using Bayesian scoring functions. Environment and residue pair specific contributions to the scoring functions appear as the ..."
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Cited by 393 (70 self)
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as the first two terms in a series expansion for the residue probability distributions in the protein database; the decoupling of the distance and environment dependencies of the distributions resolves the major problems with current databasederived scoring functions noted by Thomas and Dill. The simulated
Critical loop gases and the worm algorithm
, 2010
"... The loop gas approach to lattice field theory provides an alternative, geometrical description in terms of fluctuating loops. Statistical ensembles of random loops can be efficiently generated by Monte Carlo simulations using the worm update algorithm. In this paper, concepts from percolation theory ..."
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Cited by 1 (0 self)
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theory and the theory of selfavoiding random walks are used to describe estimators of physical observables that utilize the nature of the worm algorithm. The fractal structure of the random loops as well as their scaling properties are studied. To support this approach, the O(1) loop model, or hightemperature
Thermodynamic Properties of the Dimerised and Frustrated S = 1/2 Chain
, 2008
"... By high temperature series expansion, exact diagonalisation and temperature densitymatrix renormalisation the magnetic susceptibility χ(T) and the specific heat C(T) of dimerised and frustrated S = 1/2 chains are computed. All three methods yield reliable results, in particular for not too small te ..."
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By high temperature series expansion, exact diagonalisation and temperature densitymatrix renormalisation the magnetic susceptibility χ(T) and the specific heat C(T) of dimerised and frustrated S = 1/2 chains are computed. All three methods yield reliable results, in particular for not too small
Critical phenomena at edges and corners
, 1998
"... Using Monte Carlo techniques, the critical behaviour at edges and corners of the three– dimensional Ising model is studied. In particular, the critical exponent β2 of the local magnetization at edges formed by two intersecting free surfaces is estimated to be, as a function of the opening angle θ, 0 ..."
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, 0.96±0.02 for θ = 135 o, 1.28±0.04 for 90 o, and 2.30±0.10 for 45 o. The critical exponent β3 of the corner magnetization of a cube is found to be 1.86±0.06. The Monte Carlo estimates are compared to results of mean field theory, renormalization group calculations and high temperature series
The Heisenberg Model for 2D Spin Triangular Antiferromagnets:
"... The Heisenberg model was used to analyze the properties of the quasi two dimensional (2D) spin triangular antiferromagnet Cs2CuBr4. High temperature series expansions of the magnetic susceptibility, Padé approximants, DLog Padé approximants, and least squares analysis were used to determine diago ..."
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The Heisenberg model was used to analyze the properties of the quasi two dimensional (2D) spin triangular antiferromagnet Cs2CuBr4. High temperature series expansions of the magnetic susceptibility, Padé approximants, DLog Padé approximants, and least squares analysis were used to determine
Logarithmic Corrections in the 2D XY Model
, 1996
"... Using two sets of highprecision Monte Carlo data for the twodimensional XY model in the Villain formulation on square L × L lattices, the scaling behavior of the susceptibility χ and correlation length ξ at the KosterlitzThouless phase transition is analyzed with emphasis on multiplicative logarit ..."
Quenched disordered ferromagnets
 in Proceedings of “Lattice 2005 Dublin”, PoS, p. 018, PoS(LAT2005)018
, 2005
"... We review and compare different approaches for studying the influence of quenched, random disorder in threedimensional Ising and Potts models for ferromagnets subject to impurities. From a theoretical view point, field theoretic renormalization group studies provide quite accurate results. Experime ..."
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Cited by 1 (1 self)
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. Experiments carried out on crystalline mixtures of compounds lead to measurements of criticial exponents as accurate as three digits. Numerically, extensive Monte Carlo simulations are shown to be of comparable accuracy. Finally, we also discuss recently generated hightemperature series expansions
Results 11  20
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9,788