Dielectric study on membrane adsorption and release: Relaxation mechanism and diffusion dynamics

Dielectric monitoring of the adsorption or release process of salicylic acid (SA) by chitosan membrane shows that the dielectric spectra of the chitosan membrane/ SA solution systems change regularly in the adsorption or release process. By analyzing the regularity, a new mechanism for the relaxations is proposed. The concentration polarization layer (CPL) caused by SA adsorption or release is confirmed to be essential for the dielectric relaxations. The changes of the spectra with time are explained by account of the relationship between CPL properties and dielectric strength. Based on this relaxation mechanism, a theoretical method can be established to calculate dynamical parameters of inner structure of the adsorption or release systems from their dielectric spectra. Therefore, dielectric spec- troscopy is demonstrated to be a promising method for estimating interfacial distribution of ionic sub- stances and their binding to membrane in a non-invasive way.     

超分子2，2′-联咪唑镉(Ⅱ)配聚物的合成与结构表征

以硫氰酸根、叠氮基、二氰胺为桥联配体,分别与2,2′-联咪唑和硝酸镉反应,获得配聚物[Cd（SCN）2（H2biim）]n（1）,[Cd（N3）2（H2biim）]n（2）和[Cd2（NO3）（dca）3（H2biim）2.5]n（3）,3个化合物通过元素分析、IR、TGA等表征,并测定了它们的晶体结构。结果表明：化合物1和2分别是以μ1.3—SCN-和μ1.1-N3-双桥连接的一维链状结构,化合物3是以μ1.5-dca和μ3.3-H2biim交叉桥连的二维网状结构。对它们的荧光性质也进行了初步分析。     

三维异核Mn-Na配合物[MnNa(N3)4(C5H5N)4]的合成与表征

Azide-containing coordination polymers have received considerable attention for the construction of new molecule-based magnets. A three dimensional heteronuclear Mn-Na compound [MnNa(N₃)₄(C₅H₅N)₄] was obtained by reaction of [Mn₃O(O₂CCH₃)₆(py)₃]ClO₄ and NaN₃ in pyridine solvents. The title compound crystallizes in monoclinic space group C2/c, a=1.536 6(2), b=1.045 3(2), c=1.576 3(2) nm, β=90.309(3)°, V=2.531 8(6) nm³, Z=4. In the structure, each Mn³⁺ and Na⁺ ion coordinated with four N atoms from four N₃^- and two N atoms from two pyridine molecules. Each pair of Mn³⁺ and Na⁺ ion are linked by N₃^- bridges into a 3D polymer with PtS topology. CCDC: 706250.     

Fourier transforms on Cantor sets: A study in non-Diophantine arithmetic and calculus

Fractals equipped with intrinsic arithmetic lead to a natural definition of differentiation, integration, and complex structure. Applying the formalism to the problem of a Fourier transform on fractals we show that the resulting transform has all the required basic properties. As an example we discuss a sawtooth signal on the ternary middle-third Cantor set. The formalism works also for fractals that are not self-similar.     

Electronic cooling in superconducting tunnel junctions

The cooling power provided by the current through a superconductor/insulator/superconductor tunnel junction is studied theoretically. The influence of non-equilibrium distributions of the quasi-particles on the heat flow is analysed within a simple relaxation model. A superconducting gap enhancement can be explained within the equilibrium as well as the non-equilibrium model.     

Phase Diagram of the Spin-1/2 Heisenberg Alternating Chain in a Magnetic Field *

By using the infinite time-evolving block decimation, we study quantum fidelity and entanglemententropy in the spin-1/2 Heisenberg alternating chain under an external magnetic field .The effects of the magnetic field on the fidelity are investigated, and its relation with the quantum hase transition (QPT) is analyzed. The phase diagram of the model is given accordingly, which supports the Haldane phase, the singlet-dimer phase, the Luttinger liquid phase and the paramagnetic phase. The scaling of entanglement entropy in the gapless Luttinger liquid phase is studied, and the central charge $c=1$ is obtained. We also study the relationship between the quantum coherence, string order parameter and QPTs. Results obtained from these quantum information observations are consistent with the previous reports.     

Macroscopic entanglement on a hybrid quantum circuit

A scheme is proposed to deterministically create maximal entanglement between hybrid artificial atoms: superconducting charge and flux qubits. By tuning the circuit, the two qubits are dynamically decoupled and entanglement can be long-lived. This provides a new version of the Einstein-Podolsdy-Rosen (EPR) situation where the components of a macroscopic EPR pair are in opposite regimes.     

顶点算子超代数及相关的结合代数的表示

设 V 是一个顶点算子超代数. 该文得到了一系列的结合代数A_n(V)(对任何n∈ 1/2 + Z₊(i∈ {0,1})). 也给出了A_n(V) -模但非A_n-1/2(V) -模的不可约模范畴和单的可容许的V -模的范畴之间的一一对应关系. 对于给定的A_n(V) -模但非A_n-1/2(V) -模U, 还构造了一类广义Verma可容许的V -模M_n(U). 进而利用结合代数的表示进一步研究了顶点算子超代数的表示论.     

具有Dzyaloshinskii-Moriya相互作用的XY模型的量子相干性

研究了具有Dzyaloshinskii-Moriya(DM)相互作用的一维横场XY自旋链的量子相变和量子相干性.采用约旦-维格纳变换严格求解了哈密顿量,并描绘了体系的关联函数和相图,相图包含反铁磁相、顺磁相和螺旋相.利用相对熵和Jensen-Shannon熵讨论了XY模型的量子相干性.研究发现,相对熵与Jensen-Shannon熵所表现的行为都可以很好地表征该模型的量子相变.非螺旋相中量子相干性不依赖DM相互作用,而在螺旋相DM相互作用对量子相干性有显著影响.此外,指出了在带有DM相互作用的这一类反射对称破缺体系中关联函数计算的常见问题.