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51.
We investigate the effect of geometry on the ground-state ordering of artificially frustrated magnetic rectangular and triangular lattices by Monte Carlo method. By varying the vertical lattice spacing while keeping the horizontal one fixed, we show that when the ratio of vertical to horizontal lattice spacing, labeled by η, is less than 1.82, the ground state of the rectangular lattice presents long-range antiferromagnetic order and for η?1.82 the ground state changes to long-range mixed ferromagnetic and antiferromagnetic order. For the frustrated triangular lattice, the short-range ordered state as well as two long-range ordered ground states occurs transiently at η=0.87 and 2, where the energies of the two ground states with long-range order are approximately equal. In addition, the level of frustration of both frustrated lattices is found to be largely relevant to the ratio η. 相似文献
52.
Given a monotone convex function on the space of essentially bounded random variables with the Lebesgue property (order continuity), we consider its extension preserving the Lebesgue property to as big solid vector space of random variables as possible. We show that there exists a maximum such extension, with explicit construction, where the maximum domain of extension is obtained as a (possibly proper) subspace of a natural Orlicz-type space, characterized by a certain uniform integrability property. As an application, we provide a characterization of the Lebesgue property of monotone convex function on arbitrary solid spaces of random variables in terms of uniform integrability and a “nice” dual representation of the function. 相似文献
53.
W. Beck A.Ya. Karasik J. Arvanitidis D. Ricard 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2000,10(1):131-140
High-temperature persistent spectral hole-burning (PSHB), up to room temperature, has been observed in a Eu
3+
-doped aluminosilicate glass using a high peak-power nanosecond dye laser. Spontaneous refilling as well as thermal cycling
measurements show that at least two mechanisms, a fast and a slow one, are involved in our sample. We suggest that the fast
or “easy” component may correspond to a non-photochemical local rearrangement of the host or to photoreduction of the Eu
3+
ions and that the second one leading to very stable photoproducts may correspond to transfer of an electron over a sizable
distance through a several-step process. The mechanisms we suggest agree with light-induced hole refilling measurements. Line
broadening mechanisms are discussed and the temperature-dependent part of the homogeneous width and of the spectral shift
is interpreted in terms of a two-phonon (Raman) process involving pseudo-local phonons.
Received 28 July 1999 相似文献
54.
55.
G. Huber T.A. Vilgis 《The European Physical Journal B - Condensed Matter and Complex Systems》1998,3(2):217-223
The adsorption of a single ideal polymer chain on energetically heterogeneous and rough surfaces is investigated using a variational
procedure introduced by Garel and Orland (Phys. Rev. B 55, 226 (1997)). The mean polymer size is calculated perpendicular and parallel to the surface and is compared to the Gaussian
conformation and to the results for polymers at flat and energetically homogeneous surfaces. The disorder-induced enhancement
of adsorption is confirmed and is shown to be much more significant for a heterogeneous interaction strength than for spatial
roughness. This difference also applies to the localization transition, where the polymer size becomes independent of the
chain length. The localization criterion can be quantified, depending on an effective interaction strength and the length
of the polymer chain.
Received: 29 October 1997 / Revised: 19 December 1997 / Accepted: 6 March 1998 相似文献
56.
Huan-You Wang Hui Xu Tie-Tie Huang Chao-Sheng Deng 《The European Physical Journal B - Condensed Matter and Complex Systems》2008,62(1):39-43
The density function perturbation theory (DFPT) is employed to study
the linear thermal expansion and heat capacity at constant pressure
(with the quasiharmonic approximation) for wurtzite GaN. The
calculated results of linear thermal expansion coefficient and heat
capacity at constant pressure are compared with the available
experimental data in a wide temperature range. Generally these
properties calculated agree well with experimental data except at
high temperature, thus it suggests the thermal expansion and heat
capacity can be well calculated from this first-principle approach. 相似文献
57.
对格上Erceg式p.q.(p.)度量的注记 总被引:4,自引:0,他引:4
本文的主要结果是大幅度地简化了Erceg引入的不分明度量的无点化定义,建立了相应的点式刻画. 相似文献
58.
In this paper we prove that the equational class generated by bounded BCK‐algebras is the variety generated by the class of finite simple bounded BCK‐algebras. To obtain these results we prove that every simple algebra in the equational class generated by bounded BCK‐algebras is also a relatively simple bounded BCK‐algebra. Moreover, we show that every simple bounded BCK‐algebra can be embedded into a simple integral commutative bounded residuated lattice. We extend our main results to some richer subreducts of the class of integral commutative bounded residuated lattices and to the involutive case. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
59.
Jean B. Lasserre 《Proceedings of the American Mathematical Society》1998,126(1):189-194
We consider a linear sytem in a Banach lattice and provide a simple theorem of the alternative (or Farkas lemma) without the usual closure condition.
60.
Summary A tool for analyzing spatio-temporal complex physical phenomena was recently proposed by the authors, Aubry et al. [5]. This
tool consists in decomposing a spatially and temporally evolving signal into orthogonal temporal modes (temporal “structures”)
and orthogonal spatial modes (spatial “structures”) which are coupled. This allows the introduction of a temporal configuration
space and a spatial one which are related to each other by an isomorphism. In this paper, we show how such a tool can be used
to analyze space-time bifurcations, that is, qualitative changes in both space and time as a parameter varies. The Hopf bifurcation
and various spatio-temporal symmetry related bifurcations, such as bifurcations to traveling waves, are studied in detail.
In particular, it is shown that symmetry-breaking bifurcations can be detected by analyzing the temporal and spatial eigenspaces
of the decomposition which then lose their degeneracy, namely their invariance under the symmetry. Furthermore, we show how
an extension of the theory to “quasi-symmetries” permits the treatment of nondegenerate signals and leads to an exponentially
decreasing law of the energy spectrum. Examples extracted from numerically obtained solutions of the Kuramoto-Sivashinsky
equation, a coupled map lattice, and fully developed turbulence are given to illustrate the theory. 相似文献