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91.
On the basis of the result obtained by applying Baxter's exact perturbative approach to the dilute A3 model to give the E8 mass spectrum, the dilute AL inversion relation was used to predict the eigenspectra in the L=4 and L=6 cases (corresponding to E7 and E6 respectively). In calculating the next-to-leading term in the correlation lengths, or equivalently masses, the inversion relation condition gives a surprisingly simple result in all three cases, and for all masses. 相似文献
92.
93.
94.
将离散的平均场Ising模型转换为连续的模型,给出了显式差分格式。利用有界延拓法,证明了差分解的收敛性与稳定性。最后通过数值例子说明了此格式的可信性。 相似文献
95.
The spin-
The transverse Ising model with four spin interactions is studied within the finite cluster approximation (FCA), on a honeycomb and a square lattice. We have investigated the influence of the four spin interactions on the phase diagrams of the system and on both longitudinal and transversal magnetizations. We have also shown that the tricritical phenomenon exists only for low values of the transverse field. 相似文献
96.
C. Chris Wu 《Journal of statistical physics》1996,85(1-2):251-259
We consider Ising models on a hyperbolic graph which, loosely speaking, is a discretization of the hyperbolic planeH
2 in the same sense asZ
d
is a discretization ofR
d
. We prove that the models exhibit multiple phase transitions. Analogous results for Potts models can be obtained in the same way. 相似文献
97.
We continue a study of Schonmann (1994), Schonmann and Shlosman (1996), and Greenwood and Sun (1997) regarding the competing influences of boundary conditions and external field for the Ising model. We find a critical point B
0 in the competing influences for low temperature in dimension d 2A7E; 2. 相似文献
98.
The six-dimensional Ising model with nearest-neighbor pair interactions is simulated on the Creutz cellular automaton by using the finite-size lattices with the linear dimensions L=4,6,8,10. The temperature variations and the finite-size scaling plots of the specific heat and Binder parameter verify the theoretically predicted expression near the infinite lattice critical temperature. The approximate values for the critical temperature of the infinite lattice TC=10.838(1), TC=10.836(20) and TC=10.835(1) are obtained from the intersection points of specific heat curves, Binder parameter curves and the straight line fit of specific heat maxima, respectively. These results are in agreement with the more precise value of TC=10.835(5). The value obtained for the critical exponent of the specific heat, i.e., =0.012(2) is also in agreement with =0 predicted by the theory. 相似文献
99.
R. K. P. Zia 《Journal of statistical physics》1986,45(5-6):801-813
The anisotropic surface tension for an Ising system below the critical point on a triangular or a honeycomb lattice can be computed through duality. Using the Wulff construction, the equilibrium shape of a crystal (droplet of one phase inside a sea of the other) is found. An exact and simple equation for this shape is derived. 相似文献
100.
We describe the problem of the equivalence of ensembles at the level of states for classical lattice systems. We discuss circumstances where the vanishing of the specific information gain of a sequence of microcanonical measures with respect to a sequence of grand canonical measures implies the equivalence of ensembles. We give a simple derivation of a criterion for the vanishing of the specific information gain in terms of thermodynamic functions. The proof uses ideas from the theory of large deviations but is self-contained. We show how the criterion works in a simple model of a paramagnet and in the Ising model of a ferromagnet in any dimension but fails in the case of the Curie-Weiss mean-field model. 相似文献