Phase diagrams of a spin-1 Ising superlattice

The three-dimensional spin-1 Ising superlattice consisting of two different ferromagnetic materials with two different crystal fields _Δ1 and _Δ2 is considered in the mean field approximation. The phase diagrams are considered in the (t,_d2) plane for different ranges of variation of _d1(t=T/J,_d1=_Δ1/J, _d2=_Δ2/J are the reduced temperature and crystal fields respectively). The phase diagrams exhibit a variety of multicritical points and reentrant and double reentrant behaviours. They are found to depend qualitatively and/or quantitatively on the thicknesses of the materials in a supercell. This has direct consequences on the nature of the magnetic states of superlattices with different thicknesses.     

Cross sections for (d–t) neutron interaction with germanium isotopes

The cross sections for (n,x) reactions with Ge isotopes were measured at (d–t) neutron energies around 14 MeV with the activation technique using metal discs of natural composition. Calculations of detector efficiency, incident neutron spectrum and correction factors were performed with the Monte Carlo technique (MCNP4C code). Cross sections data are presented for ⁷⁰Ge(n,2n)⁶⁹Ge, ⁷⁴Ge(n,α)^71mZn, ⁷⁶Ge(n,2n)^75(m + g)Ge, ⁷⁰Ge(n,p)⁷⁰Ga and ⁷²Ge(n,2n)^71gGe reactions. The cross section results for ⁷²Ge(n,2n)^71gGe reaction were reported for the first time. Some other cross sections were obtained with higher precision, including the ⁷⁰Ge(n,p)⁷⁰Ga reaction. Theoretical calculations of excitation functions were performed with the TALYS-1.0 code and compared with the experimental cross section values. Data were included in the EXFOR database.     

New general convergence theory for iterative processes and its applications to Newton–Kantorovich type theorems

Let T:D⊂X→X be an iteration function in a complete metric space X. In this paper we present some new general complete convergence theorems for the Picard iteration _xn+1=T_xn with order of convergence at least r≥1. Each of these theorems contains a priori and a posteriori error estimates as well as some other estimates. A central role in the new theory is played by the notions of a function of initial conditions   of T and a convergence function   of T. We study the convergence of the Picard iteration associated to T with respect to a function of initial conditions E:D→X. The initial conditions in our convergence results utilize only information at the starting point _x0. More precisely, the initial conditions are given in the form E(_x0)∈J, where J is an interval on _R+ containing 0. The new convergence theory is applied to the Newton iteration in Banach spaces. We establish three complete ω-versions of the famous semilocal Newton–Kantorovich theorem as well as a complete version of the famous semilocal α-theorem of Smale for analytic functions.     

涡旋压缩机不对称双涡旋齿型线的构建与模拟

采用双涡旋齿涡旋盘结构能够有效地提高涡旋压缩机的吸气量,然而存在内容积比小、允许开设的排气口面积小的缺点。针对此问题,本文提出一种涡旋压缩机的新型不对称双涡旋齿,利用中线法得到了涡旋齿型线的设计方法,并且建立其几何模型;通过三维数值模拟研究其工作腔内部的气体流场,并与现有的双涡旋齿涡旋压缩机进行对比。结果表明:所提出的涡旋压缩机的新型不对称双涡旋齿能够有效地提高涡旋压缩机的排气量和内容积比,并且增大了排气口的开设面积,使得压缩机具有更好的工作性能。     

Ranking the spreading influence in complex networks

Identifying the node spreading influence in networks is an important task to optimally use the network structure and ensure the more efficient spreading in information. In this paper, by taking into account the shortest distance between a target node and the node set with the highest k-core value, we present an improved method to generate the ranking list to evaluate the node spreading influence. Comparing with the epidemic process results for four real networks and the Barabási–Albert network, the parameterless method could identify the node spreading influence more accurately than the ones generated by the degree k, closeness centrality, k-shell and mixed degree decomposition methods. This work would be helpful for deeply understanding the node importance of a network.     

蔡氏对偶混沌电路分析

提出了一个新颖的蔡氏对偶混沌电路,并进行了深入的理论研究和计算机仿真分析.得出了几点结论:1)此混沌电路元器件少,且与蔡氏混沌电路结构完全对偶.2)在确定的元器件参数条件下,电路出现双涡卷奇怪吸引子和丰富的混沌动力学行为. 关键词： 蔡氏对偶电路 奇怪吸引子 混沌     

Trigonometrical sums connected with the chiral Potts model,Verlinde dimension formula,two-dimensional resistor network,and number theory

We have recently developed methods for obtaining exact two-point resistance of the complete graph minus N edges. We use these methods to obtain closed formulas of certain trigonometrical sums that arise in connection with one-dimensional lattice, in proving Scott’s conjecture on permanent of Cauchy matrix, and in the perturbative chiral Potts model. The generalized trigonometrical sums of the chiral Potts model are shown to satisfy recursion formulas that are transparent and direct, and differ from those of Gervois and Mehta. By making a change of variables in these recursion formulas, the dimension of the space of conformal blocks of SU(2) and SO(3) WZW models may be computed recursively. Our methods are then extended to compute the corner-to-corner resistance, and the Kirchhoff index of the first non-trivial two-dimensional resistor network, 2×N. Finally, we obtain new closed formulas for variant of trigonometrical sums, some of which appear in connection with number theory.     

Probing Planckian physics in de Sitter space with quantum correlations

We study the quantum correlation and quantum communication channel of both free scalar and fermionic fields in de Sitter space, while the Planckian modification presented by the choice of a particular α-vacuum has been considered. We show the occurrence of degradation of quantum entanglement between field modes for an inertial observer in curved space, due to the radiation associated with its cosmological horizon. Comparing with standard Bunch–Davies choice, the possible Planckian physics causes some extra decrement on the quantum correlation, which may provide the means to detect quantum gravitational effects via quantum information methodology in future. Beyond single-mode approximation, we construct proper Unruh modes admitting general α-vacua, and find a convergent feature of both bosonic and fermionic entanglements. In particular, we show that the convergent points of fermionic entanglement negativity are dependent on the choice of α. Moreover, an one-to-one correspondence between convergent points H_c of negativity and zeros of quantum capacity of quantum channels in de Sitter space has been proved.