Two random walks on the open cluster of ℤ2 meet infinitely often

We prove that two independent continuous-time simple random walks on the infinite open cluster of a Bernoulli bond percolation in the lattice ?² meet each other infinitely many times. An application to the voter model is also discussed.     

High-lying excited states in <Superscript>10</Superscript>Be from the <Superscript>9</Superscript>Be(<Superscript>9</Superscript>Be,<Superscript>10</Superscript>Be)<Superscript>8</Superscript>Be reaction

A transfer-reaction experiment of ⁹Be(⁹Be, ¹⁰Be)⁸Be was performed at a beam energy of 45 MeV. Excited states in ¹⁰Be up to 18.80 MeV are produced using missing mass and invariant mass methods. Most of the observed high-lying resonant states, reconstructed from the α + ⁶He and t + ⁷Li decay channels, agree with the previously reported results. In addition, two new resonances at 15.6 and 18.8 MeV are identified from the present measurement. The 18.55 MeV state is found to decay into both the t + ⁷Li_g.s. and t + ⁷Li* (0.478 MeV) channels, with a relative branching ratio of 0.93 ± 0.33. Further theoretical investigations are encouraged to interpret this new information on cluster structure in neutron-rich light nuclei.     

关于d-跟踪性质的一些注记

d-和d-跟踪性质是Dastjerdi和Hosseini为推广伪轨跟踪性质于2010年提出的.本文考察该动力性质在迭代系统和逆极限系统下的性质.首先证明对动力系统(X,f),以下三命题等价:(1)f具有d-跟踪性质(d-跟踪性质);(2)对任意k∈N,f~k也具有d-跟踪性质(d-跟踪性质);(3)存在k∈N,使得f~k具有d-跟踪性质(d-跟踪性质).进而证明具有d-跟踪性质的系统是链混合的.最后得到对于由{X_i,φ_i,f_i)_(i=1)~∞生成的逆极限系统(X_∞,f_∞),若每个f_i均具有d-跟踪性质(或者,d-跟踪性质,遍历跟踪性),则诱导映射f_∞也具有d-跟踪性质(相应地,d-跟踪性质,遍历跟踪性).     

Heavy ion reactions around the Coulomb barrier

The angular distributions of fission fragments for the ³²S+¹⁸⁴W reaction near Coulomb barrier energies are measured. The experimental fission excitation function is obtained. The measured fission cross sections are decomposed into fusion-fission, quasi-fission and fast fission contributions by the dinuclear system (DNS) model. The hindrance to completing fusion both at small and large collision energies is explained. The fusion excitation functions of ³²S+^90,96Zr in an energy range from above to below the Coulomb barrier are measured and analyzed within a semi-classical model. The obvious effect of positive Q-value multi-neutron transfers on the sub-barrier fusion enhancement is observed in the ³²S+⁹⁶Zr system. In addition, the excitation functions of quasi-elastic scattering at a backward angle have been measured with high precision for the systems of ¹⁶O + ²⁰⁸Pb, ¹⁹⁶Pt, ¹⁸⁴W, and ^154,152Sm at energies well below the Coulomb barrier. Considering the deformed coupling effects, the extracted diffuseness parameters are close to the values extracted from the systematic analysis of elastic and inelastic scattering data. The elastic scattering angular distribution of ¹⁷F+¹²C at 60 MeV is measured and calculated by using the continuum-discretized coupled-channels (CDCC) approach. It is found that the diffuseness parameter of the real part of core-target potential has to be increased by 20% to reproduce the experimental result, which corresponds to an increment of potential depth at the surface region. The breakup cross section and the coupling between breakup and elastic scattering are small.     

Experimental research into the two-proton emissions from ~(17,18) Ne,~(28) P and ~(28,29)S

Two-proton emissions from the excited states of 17,18Ne, 28P and 28,29S were investigated experimentally by the radioactive beams bombarding on the 197Au target via the Coulomb excitation. The complete-kinematics measurements were actualized by the stacks of silicon-strip detectors and CsI+PIN array detectors. The invariant mass of final systems as well as the relative momentum, opening angle, and relative energy of the two emitted protons was reconstructed under the framework of relativ istic kinematics. V...     

纳米复合水凝胶的力学行为与刺激响应性

纳米复合水凝胶（nanocomposite hydrogels,NC凝胶）由于其简便的制备方法、独特的组成、优异的力学性能、高光学透明度以及良好的溶胀/去溶胀性等,引起了广泛的关注.近年来,本课题组在NC凝胶的力学行为及刺激响应性NC凝胶的制备方面取得了可喜的研究成果.观察到新合成的和溶胀平衡的聚N-异丙基丙烯酰胺（PNIPAm）-锂藻土LaponiteNC凝胶的超拉伸性,发现了在大应变下的应变硬化现象;发现利用Mooney-Rivlin方程可以描述NC凝胶的压缩应力-应变,但不能描述较大的应变硬化;Creton模型能很好地描述NC凝胶在大形变下的应力-应变曲线,特别是凝胶的应变硬化;从NC凝胶小应变下的平衡剪切模量得到了有效交联密度,观察到NC凝胶形变-回复过程的迟滞现象,测定了NC凝胶的松弛指数.我们认为NC凝胶具有超拉伸性的原因是其较低的交联密度和适度的松弛速率;在响应性NC凝胶的制备方面,发现了溶胶型Laponite的水分散液的稳定窗口,避免了加入离子性单体引起的聚集沉淀;通过共聚制备了具有超拉伸性、pH响应或温度和pH双响应的透明NC凝胶.本文主要综述了我们课题组在NC凝胶力学行为及响应性NC凝胶领域的一些研究进展,并分析了NC凝胶研究领域仍然未解决的科学问题,以及今后可能的发展方向.     

Heavy ion reactions around the Coulomb barrier

The angular distributions of fission fragments for the 32S+184W reaction near Coulomb barrier energies are measured. The ex perimental fission excitation function is obtained. The measured fission cross sections are decomposed into fusion-fission, quasi-fission and fast fission contributions by the dinuclear system (DNS) model. The hindrance to completing fusion both at small and large collision energies is explained. The fusion excitation functions of 32S+90,96Zr in an energy range from above to below the ...     

The largest table in Chinese restaurant processes

In this paper, we investigate the expectation of the size of the largest table in an (α, θ)-Chinese restaurant process by using and developing an idea originated in the work by Shepp, which discusses random permutation. This work was supported by National Natural Science Foundation of China (Grant No. 10671036) and the National Basic Research Program of China (Grant No. 2007CB814904)     

Experimental research into the two-proton emissions from 17,18Ne, 28P and 28,29S

Two-proton emissions from the excited states of ^17,18Ne, ²⁸P and ^28,29S were investigated experimentally by the radioactive beams bombarding on the ¹⁹⁷Au target via the Coulomb excitation. The complete-kinematics measurements were actualized by the stacks of silicon-strip detectors and CsI+PIN array detectors. The invariant mass of final systems as well as the relative momentum, opening angle, and relative energy of the two emitted protons was reconstructed under the framework of relativistic kinematics. Visible proton-proton correlations were observed in these systems. The mechanisms of two-proton emission were analyzed in a simple schematic model, in which the extreme decay modes like ²He cluster emission, three-body phase-space decay, and two-body sequential decay were taken into account. With the help of Monte-Carlo simulations, the two protons emitted from the 6.15 MeV excited state of ¹⁸Ne and the excited states in the energy region of 9.6–10.4 MeV of ²⁹S, respectively, exhibited prominent features of ²He cluster decay while for the other cases, no obvious diproton emissions were observed.     

Determination of uracil in the culture fluid of Glomerella cingulata and infected hosts by high-performance liquid chromatographyEI北大核心CSCD

A CRISPR-Cas system holds great promise as a next-generation biosensing technology for molecular diagnostics. In this paper, a portable biosensor based on the trans-cleavage activity of CRISPR-Cas12a and a personal glucose meter has been developed for quantitative, sensitive and specific detection of melamine. The presence of the target melamine binds to the aptamer, leading to the release of locker DNA. And then, the leasing locker DNA activates the trans-cleavage activity of CRISPR-Cas12a to cleave the single-strand DNA (ssDNA) linker on sucrase-ssDNA modified electrode, releasing a short DNA fragment labeled with sucrase in the resulting solution. The sucrase could further catalyze sucrose to glucose, which could be detected by the PGM. Under the optimized conditions, the increase of PGM signal was relative with the concentration of melamine ranging from 0.1 to 2.5 μmol/L and the limit of detection (LOD) was 37 nmol/L. Moreover, the portable biosensor has strong specificity and can be used for the quantitative detection of melamine in milk samples. © 2023, Youke Publishing Co.,Ltd. All rights reserved.