Homoclinic bifurcation for a general state-dependent Kolmogorov type predator–prey model with harvesting

In this paper, a general Kolmogorov type predator–prey model is considered. Together with a constant-yield predator harvesting, the state dependent feedback control strategies which take into account the impulsive harvesting on predators as well as the impulsive stocking on the prey are incorporated in the process of population interactions. We firstly study the existence of an order-1 homoclinic cycle for the system. It is shown that an order-1 positive periodic solution bifurcates from the order-1 homoclinic cycle through a homoclinic bifurcation as the impulsive predator harvesting rate crosses some critical value. The uniqueness and stability of the order-1 positive periodic solution are derived by applying the geometry theory of differential equations and the method of successor function. Finally, some numerical examples are provided to illustrate the main results. These results indicate that careful management of resources and harvesting policies is required in the applied conservation and renewable resource contexts.     

Effects of ball-to-powder diameter ratio and powder particle shape on EDEM simulation in a planetary ball mill

The effects of the ball-to-powder diameter ratio (BPDR) and the shape of the powder particles on EDEM simulation results and time in the planetary ball mill was investigated. BPDR was varied from 1 to 40/3 by changing the powder particle diameter from 8 to 0.6 ?mm. The size and shape of the powder particles do not give a significant change in both the ball motion pattern and simulation results when BPDR is over 20/3. It can be assumed that the kinetic energy of the ball has nothing to do with the size and shape of the powder particle. The simulation time and data size increase exponentially as BPDR increases. The effect of change of the powder particle shape on the calculated data size is not significant, but the more complicated its shape, the longer the simulation time, which is linearly related to the number of spheres composing a particle.     

Residue valorization: Preparation of recyclable organic amine adsorbent using laterite residue

This study focuses on exploiting the main component of traditional nickel metallurgical waste for use as a valuable material that can be applied in the removal of organic amines from water systems. Silicon compounds from metallurgic waste were converted into dissolvable sodium silicate by roasting the waste with alkali. Silica with adsorption capacity was combined with magnetic NiFe cores by the carbonation decomposition of purified silicate solution. The composite magnetic adsorbent was characterized, and its adsorption mechanism for organic amines was investigated. The effects of the initial trimethylamine concentration, contact time and temperature on the adsorption efficiency of the composite adsorbent towards trimethylamine were investigated. It was found that the adsorption fit the Freundlich mode well. The adsorption kinetics can be described by a pseudo-second-order kinetic model. The adsorption capacity reached 55.8 μg/mg at 293 K. The use of metallurgical waste to prepare the magnetic composite adsorbent has three advantages, which include benefiting the environment by reducing the amount of solid waste and costs associated with constructing and maintaining storage facilities, generating valuable products in an economical manner and conveniently recycling used adsorbents to avoid secondary pollution.     

Landscape of supersymmetric particle mass hierarchies and their signature space at the CERN Large Hadron Collider

The minimal supersymmetric standard model with soft breaking has a large landscape of supersymmetric particle mass hierarchies. This number is reduced significantly in well-motivated scenarios such as minimal supergravity and alternatives. We carry out an analysis of the landscape for the first four lightest particles and identify at least 16 mass patterns, and provide benchmarks for each. We study the signature space for the patterns at the CERN Large Hadron Collider by analyzing the lepton+ (jet> or =2) + missing P{T} signals with 0, 1, 2, and 3 leptons. Correlations in missing P{T} are also analyzed. It is found that even with 10 fb{-1} of data a significant discrimination among patterns emerges.     

Nodeless d-wave superconducting pairing due to residual antiferromagnetism in underdoped Pr2-xCexCuO4-delta

We investigate the doping dependence of the penetration depth versus temperature in electron-doped Pr(2-x)Ce(x)CuO(4-delta) using a model which assumes the uniform coexistence of (mean-field) antiferromagnetism and superconductivity. Despite the presence of a d(x2-y2) pairing gap in the underlying spectrum, we find nodeless behavior of the low-T penetration depth in the underdoped case, in accord with experimental results. As doping increases, a linear-in-T behavior of the penetration depth, characteristic of d-wave pairing, emerges as the lower magnetic band crosses the Fermi level and creates a nodal Fermi surface pocket.     

Density functional study of α-graphyne derivatives: Energetic stability,atomic and electronic structure

The energetic stability, atomic and electronic structures of α-graphyne and its derivatives (α-GYs) with extended carbon chains were investigated by density functional (DF) calculations in this work. The studied α-GYs consist of hexagon carbon rings sharing their edges with carbon atoms N=1–10. The structure and energy analyses show that α-GYs with even-numbered carbon chains have alternating single and triple C–C bonds (polyyne), energetically more stable than those with odd-numbered carbon chains possessing continuous double C–C bonds (polycumulene). The calculated electronic structures indicate that α-GYs can be either metallic (odd N) or semiconductive (even N) depending on the parity of number of atoms on hexagon edges despite the edge length. The semiconducting α-graphyne derivatives are found to possess Dirac cones (DC) with small direct band gaps 2–40 meV and large electron velocities 0.554×10⁶–0.671×10⁶ m/s, 70–80% of that of graphene. Our DF studies suggest that introducing sp carbon atoms into the hexagon edges of graphene opens up an avenue to switch between metallic and DC electronic structures via tuning the parity of the number of hexagon edge atoms.     

含联苯三羧酸及二咪唑基吡啶配体的两个锌配位聚合物的合成、结构及荧光性质

以3,3′,5-联苯三羧酸(biphenyl-3,3′,5-tricarboxylic acid,H3bpta)、2,6-二(1-咪唑基)吡啶(2,6-bis(imidazole-1-yl)pyridine,bip)、Zn(NO3)2·6H2O和ZnCl2为原料,在水热条件下合成了配位聚合物{[Zn3(H2O)7(bpta)2]·5H2O}n(1)和{[Zn2Cl(bpta)(bip)2]·2H2O}n(2)。并利用红外、元素分析和X-射线单晶衍射等对其结构进行表征。X-射线单晶衍射分析表明:化合物1属于单斜晶系,C2/c空间群,a=3.317 1(11)nm,b=1.495 7(5)nm,c=0.695 1(2)nm,β=91.50°,Z=4;化合物2属于单斜晶系,P2/c空间群,a=1.960 4(4)nm,b=1.035 7(2)nm,c=1.998 7(4)nm,β=101.97(3)°,Z=4。化合物1通过bpta桥联Zn髤形成1D链,通过配位水与羧基氧之间的氢键作用构筑成3D结构。化合物2中bip桥联Zn髤构成1D螺旋链状结构,进一步通过bpta桥连形成2D网状结构。此外,对化合物1和2进行了热稳定性分析和荧光性质研究。     

BaHfO_3∶Ce粉体活化能对烧结透光性影响

用正、反向共沉淀法制备了BaHfO3∶Ce粒子;用XRD、TG-DTA、SEM等测试手段对样品的物相、形貌及发光性能进行了表征;在不同升温速率条件下研究了粒子合成动力学。结果表明:由正向和反向沉淀法得到的前驱体物相变化分3个阶段,用Doyle-Ozawa和Kissinger法分别计算了各阶段的表观活化能,其平均值分别为83.41、61.70、262.11 kJ·mol-1和81.70、42.86、253.44 kJ·mol-1,计算正反向沉淀法样品的晶粒生长活化能分别为27.36 kJ·mol-1和23.07 kJ·mol-1;反向法的样品分别在530nm波长下的激发光谱和399 nm波长的发射光谱的相对发光强度优于正向法,在2 073 K真空烧结保温3 h获得具有一定透光性的BaHfO3∶Ce透明陶瓷。