Metric Expansion from Microscopic Dynamics in an Inhomogeneous Universe

Theories with ingredients like the Higgs mechanism, gravitons, and inflatonfields rejuvenate the idea that relativistic kinematics is dynamicallyemergent. Eternal inflation treats the Hubble constant H as depending onlocation. Microscopic dynamics implies that H is over much smaller lengthsthan pocket universes to be understood as a local space reproduction rate.We illustrate this via discussing that even exponential inflation inTeV-gravity is slow on the relevant time scale. In our on small scalesinhomogeneous cosmos, a reproduction rate H depends on position. We therefore discuss Einstein-Strauss vacuoles and a Lindquist-Wheeler like lattice to connect the local rate properly with the scaling of an expanding cosmos. Consistency allows H to locally depend on Weyl curvature similar to vacuum polarization. We derive a proportionality constant known from Kepler's third law and discuss the implications for the finiteness of the cosmological constant.     

Security analysis of a multiple pseudorandom-bit generator based on a spatiotemporal chaotic map

<正>In this paper we analyse the security of a multiple pseudorandom-bit generator based on the coupled map lattice and suggest an improved model.Utilizing the error function attack,the multiple pseudorandom-bit generators which can be realized by the three digitization methods are analysed and the effective key spaces are estimated.We suggest an improved multiple pseudorandom-bit generator with 128-bit secret key,and analyse the key sensitivity and statistical properties of the system.     

强伪Ockham代数与剩余格

引入了伪Ockham代数的概念,讨论了伪Ockham代数与剩余格的关系.进一步引入强伪Ockham代数概念,并给出了它的基本性质.然后,将著名的R0蕴涵和R0算子推广到伪Ockham代数上,证明了添加广义R0蕴涵和广义R0算子后的伪Ockham代数L成为剩余格的充要条件是L为强伪Ockham代数.最后给出注记,以此说明强伪Ockham代数的条件是独立的.     

μ+SR Study of Ordering Phenomena in the Heavy-Fermion State of Ce3Pd20Ge6

Magnetic and quadrupolar ordering phenomena in a Ce₃Pd₂₀Ge₆ single crystal have been investigated by muon spin rotation/relaxation (μ⁺SR) spectroscopy. We have observed spontaneous precession of muons in zero-field below T _N =0.7 K in the antiferromagnetic state. The precession frequency follows the power law: ν(T)=ν(0)(1−T/T _N ) ⁿ . The exponent n=0.43(2) is close to the mean-field value of 0.5. The muon longitudinal spin relaxation rate 1/T ₁ is found to be nearly independent of temperature in the range of 0.3 to 2 K, i.e., across either T _N or T _Q =1.2 K, the quadrupolar ordering temperature. Two likely mechanisms for the temperature independent behavior of 1/T ₁ are suggested. This revised version was published online in September 2006 with corrections to the Cover Date.     

Brute-force NMR-ON on 90NbCu, 101mRhCu and110mAgAg

Brute-force nuclear magnetic resonance on oriented nuclei (BF-NMRON) experiments have been performed for ⁹⁰NbCu, ^101m RhCu and ^110m AgAg at about 10mK. Narrow resonance spectra were detected. Using the known values of the g-factors, the Knight shift has been deduced: K(⁹⁰NbCu) = 0.62(24) %, K(^101m RhCu) = 0.87(27)%. The effective spin–lattice relaxation times were also measured.     

Site Preference Model for Hyperfine Impurities in Compounds

A thermodynamic model for site preferences of solute atoms in ordered binary phases is applied in this paper for substitutional and interstitial sites of the Cu₃Au, or L1₂, structure. Site preferences are found to depend on formation energies of combinations of elementary point defects and on energies for transfer of solutes among different sites. The composition dependence in compounds having a wide phase field is examined in detail. A phenomenology of site preference behavior is outlined for regular lattice sites as well as for non-lattice sites such as grain boundaries. This revised version was published online in September 2006 with corrections to the Cover Date.     

用改进的格点哈密顿量计算2+1维QCD 0++胶球质量

用改进的格点哈密顿量和截断本征方程法计算2＋1维QCD 0^ 胶球质量,结果显示较好的标度行为。     

Fuzzy Topology Based on Residuated Lattice-Valued Logic

We use a semantical method of complete residuated lattice-valued logic to give a generalization of fuzzy topology as a partial answer to a problem by Roser and Turquette. This work is supported by the National Foundation for Distinguished Young Scholars (Grant No: 69725004), Research and Development Project of High-Technology (Grant No: 863-306-ZT06-04-3) and Foundation of Natural Sciences (Grant No: 69823001) of China and Fok Ying-Tung Education Foundation     

[C(E) ,Ca(E)]中的唯一原子

对于集合X上的任一非平凡等价关系E,本文考察了半群T_E(x)上的同余C_*(E),并证明了C_*(E)是T_E(X)的同余格的完全子格[C(E),C_a(E)]中的唯一原子.     

SOME PROGRESS IN THE LATTICE BOLTZMANN MODEL

A lattice Boltzmann equation model has been developed by using the equilibrium distribution function of the Maxwell－Boltzmann-like form, which is third order in fluid velocity u_α. The criteria of energy conservation between the macroscopic physical quantities and the microscopic particles are introduced into the model, thus the thermal hydrodynamic equations containing the effect of buoyancy force can be recovered in terms of the Taylor and Chapman－Enskog asymptotic expansion methods. The two-dimensional thermal convection phenomena in a square cavity and between two concentric cylinders have been calculated by implementing a heat flux boundary condition. Both numerical results are in good agreement with the conventional numerical results.