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71.
Gábor Hetyei 《Graphs and Combinatorics》2002,18(3):533-564
72.
Using the Pirogov–Sinai theory, we study finite-size effects for the ferromagnetic q-state Potts model in a cube with boundary conditions that interpolate between free and constant boundary conditions. If the surface coupling is about half of the bulk coupling and q is sufficiently large, we show that only small perturbations of the ordered and disordered ground states are dominant contributions to the partition function in a finite but large volume. This allows a rigorous control of the finite-size effects for these weak boundary conditions. In particular, we give explicit formulæ for the rounding of the infinite-volume jumps of the internal energy and magnetization, as well as the position of the maximum of the finite-volume specific heat. While the width of the rounding window is of order L
–d
, the same as for periodic boundary conditions, the shift is much larger, of order L
–1. For strong boundary conditions—the surface coupling is either close to zero or close to the bulk coupling—the finite size effects at the transition point are shown to be dominated by either the disordered or the ordered phase, respectively. In particular, it means that sufficiently small boundary fields lead to the disordered, and not to the ordered Gibbs state. This gives an explicit proof of A. van Enter's result that the phase transition in the Potts model is not robust. 相似文献
73.
We study the quark mass expansion of the magnetic moments of the nucleon in a chiral effective field theory including nucleons,
pions and delta-resonances as explicit degrees of freedom. We point out that the usual power counting applied so far to this
problem misses important quark mass structures generated via an intermediate isovector M1 nucleon-delta transition. We propose a modified power counting and compare the resulting chiral extrapolation function to
available (quenched) lattice data. The extrapolation is found to work surprisingly well, given that the lattice data result
from rather large quark masses. Our calculation raises the hope that extrapolations of lattice data utilizing chiral effective
field theory might be applicable over a wider range in quark masses than previously thought, and we discuss some open questions
in this context. Furthermore, we observe that within the current lattice data uncertainties the extrapolations presented here
are consistent with the Padé fit ansatz introduced by the Adelaide group a few years ago.
Received: 23 April 2002 / Accepted: 18 July 2002 / Published online: 17 December 2002
RID="c"
ID="c"e-mail: themmert@physik.tu-muenchen.de
RID="d"
ID="d"e-mail: weise@ect.it
Communicated by A. Sch?fer 相似文献
74.
对重氢原子进入钯或钛晶体中可能引起常温核聚变的机理探讨与实验研究结果,已在文献[1]中作了报导。后来又对钛阴极材料,在使用前后进行了X射线结构分析。发现在电解过程中发生过“过热”现象的钛阴极材料的晶体结构由原来的密排六方结构转变为立方结构,而没有发生“过热”现象的钛阴极材料的晶体仍然保持电解前的密排六方结构 相似文献
75.
Xie Xiangyun 《东北数学》1995,(3)
OnLattice-orderedReesMatrixSemigroups¥(谢祥云)XieXiangyun(DepartmentofMathematics,LanzhouUniversity,Lanzhou,730000)Abstract:Thep... 相似文献
76.
B. N. Onwuagba 《Il Nuovo Cimento D》1993,15(7):937-944
Summary The attractive short-range component of the interatomic potential screens the conventional Born-Mayer potential in the framework
of the resonance pseudopotential model. The elastic constants are evaluated at the long-wavelength limit of the phonon spectrum
and the obtained results are compared with previous experimental values. The numerical calculations show that the attractive
component of the potential explains the soft modes in this body-centred cubic (b.c.c.) alkaline-earth metal barium. 相似文献
77.
The x-ray diffraction intensities of Bragg reflections have been measured at room temperature for thulium selenide, samarium sulphide, samarium selenide and samarium telluride. On the basis of a common amplitude approximation, the Debye-Waller factor, the mean amplitude of vibration and the Debye temperature have been evaluated. The values of the Debye temperatures and mean amplitudes of vibration are 176±16°K, 0·185 ± 0·017 Å (TmSe), 155 ± 7°K, 0·244 ± 0·012 Å (SmS), 153 ± 14°K, 0·221 ± 0·020 Å (SmSe) and 151 ± 20°K, 0·204 ± 0·027 Å (SmTe). 相似文献
78.
There are two main contributions influencing the relative line intensities in a hyperfine pattern of a polycrystalline material:
1) Lattice vibrational anisotropy-Goldanskii-Karyagin effect (GKE) and 2) preferred orientation of the crystallites (texture).
We present the results of experiments and computer calculations of the line-intensity ratios for various orientation distributions.
The two competing effects are hard to distinguish from an experimental point of view, and this evaluation should enable one
to appreciate the magnitude of their respective contributions. A variety of textures is selected and discussed: For instance,
the interesting case where the GKE and the texture produce the same effect on the relative line intensities. Generally speaking,
it seems that in many qualitative discussions of quadrupole line asymmetries the influence of texture is underestimated, especially
for small deviations from randomness. Conversely, the asymmetry in the spectra is often explained by making the ad hoc assumption
of a GKE without realizing that this would require an unrealistic lattice vibration anisotropy.
This work was done in partial fulfillment of the requirement for the degree “Dr. rer. nat.”. 相似文献
79.
J.?H.?Asad R.?S.?Hijjawi A.?Sakaj J.?M.?KhalifehEmail author 《International Journal of Theoretical Physics》2005,44(4):471-483
The resistance between arbitrary sites of infinite square network of identical resistors is studied when the network is perturbed by removing two bonds from the perfect lattice. A connection is made between the resistance and the lattice Green’s function of the perturbed network. By solving Dyson’s equation the Green’s function and the resistance of the perturbed lattice are expressed in terms of those of the perfect lattice. Some numerical results are presented for an infinite square lattice. 相似文献
80.
We present the infrared and Raman study of the optical phonon modes of the defective compounds ZnGa2Se4 and ZnGa2S4. Most of the compounds have been found to crystallize in the thiogallate structure (defect chalcopyrite) with space group where all cations and vacancies are ordered. For some Zinc compounds a partially disordered cationic sublattice with various degrees of cation and vacancy statistical distribution, which lead to the higher symmetry (defect stannite), has been reported. For ZnGa2Se4 we have found three modes of A symmetry, showing Raman activity only. In addition, we have observed each five modes of B and E symmetry, showing infrared as well as Raman activity. The number of modes and their symmetry assignment, based on polarized measurements, clearly indicate space group for the investigated crystals of ZnGa2Se4.Regarding ZnGa2S4 we have found three modes exclusively showing Raman activity (2A⊕1B1), and only eight modes showing infrared as well as Raman activity (3B2⊕5E). The assignment of the modes has been derived by analyzing the spectral positions of the vibrational modes in comparison to a number of compounds. From the number and symmetry assignment of the optical phonon modes we confirm that ZnGa2S4 most likely crystallizes in space group . 相似文献