The generalized nonlinear Schrdinger equation with parabolic law nonlinearity is studied by using the factorization technique and the method of dynamical systems.From a dynamic point of view,the existence of smooth solitary wave,kink and anti-kink wave is proved and the sufficient conditions to guarantee the existence of the above solutions in different regions of the parametric space are given.Also,all possible explicit exact parametric representations of the waves are presented.
We consider a composite system:an anisotropic two-qubit Heisenberg XY Z chain coupled independently to their own environments.We take one of the qubit as the subsystem and the other qubit as an auxiliary qubit,and then the subsystem we concern can be considered to be coupled to a structured bath(auxiliary qubit + environments).Based on this,we study the non-Markovianity of the subsystem dynamics and show how the subsystem dynamics can be changed by manipulating the intensity of the qubit-qubit couplings or the anisotropy parameter.Moreover,we show how entanglement between the subsystem and the structured bath can be affected by the properties of the structured bath and the magnetic field.
The heat capacity and the electric capacitance of the black p-branes(BPB) are generally defined,then they are calculated for some special processes.It is found that the Ruppeiner thermodynamic geometry of BPB is flat.Finally,we give some discussions for the flatness of the Ruppeiner thermodynamic geometry of BPB and some black holes.
In this paper,we study lag synchronization between two coupled networks and apply two types of control schemes,including the open-plus-closed-loop(OPCL) and adaptive controls.We then design the corresponding control algorithms according to the OPCL and adaptive feedback schemes.With the designed controllers,we obtain two theorems on the lag synchronization based on Lyapunov stability theory and Barbalat’s lemma.Finally we provide numerical examples to show the effectiveness of the obtained controllers and see that the adaptive control is stronger than the OPCL control when realizing the lag synchronization between two coupled networks with different coupling structures.
因为当时间 t 通常被使连续时，空间可变 n 是分离的，微分差别的方程被认为是混合系统。尽管研究的可观的数量在非线性的微分差别的方程的领域里被执行了，结果的多数处理多项式类型。有限研究关于合理类型的如此的方程被报导了。在这篇论文我们在场改编(G'/G ) 解决非线性的合理微分差别的方程的扩大方法。过程用二个不同方程被表明。我们的途径允许一个构造准确旅行波浪解决方案的三种类型(夸张、三角法、合理) 借助于有减少的参数的辅助方程方法的简化表格。我们的分析也以拓扑的 solitons 和单个周期的功能导致分析答案。
CP violation effects of the Higgs stem from not only the CP mixing state but also the CP-violation couplings to electroweak bosons.The two CPV sources are combinedly studied based on an effective Higgs Lagrangian.The constraints from unitarity limits for W W and ZZ scatterings are investigated.We classify free parameters into five cases to analyze CP properties of the Boson.The allowed ranges are shown from fitting results to the signal strengths of the Higgs measured by ATLAS and CMS.
In this work we study the interaction of the coupled channels ?η and Ξ* ˉK within the chiral unitary approach.The systems under consideration have total isospins 0,strangeness S =-3,and spin 3/2.We study the s wave interaction which implies that the possible resonances generated in the system can have spin-parity JP= 3/2-.The unitary amplitudes in coupled channels develop poles that can be associated with some known baryonic resonances.We find there is a dynamically generated 3/2-? state with mass around 1800 Me V,which is in agreement with the predictions of the five-quark model.
Nonlinear structures of lower hybrid wave in collision plasmas are studied using the two-fluid theory.The oscillatory shock wave is observed due to the effects of the electron-neutral collision and the density inhomogeneity.In the cold electron limit,the oscillatory shock wave becomes the ordinary shock wave.In the collisionless limit,the dominated equation becomes Kd V equation and the lower hybrid solitons arise.The amplitude of the nonlinear structure is depressed by the plasma inhomogeneity,but is hardly affected by the electron-neutral collision.
在这个工作，在硅圆形的 nanowires 的吸收的阀值精力上的紧张的影响被调查。为这个目的，我们首先使用了密度功能的理论(DFT ) 到计算电子和洞有效群众。然后，我们与二个不同过程， DFT 和有效集体近似(EMA ) 获得了吸收阀值精力。我们也获得了 Si nanowires 的乐队结构 DFT 和 EMA。结果显示出那：我)广泛的紧张增加洞有效质量当压缩紧张增加电子时有效质量， ii )有效群众与减少减少的电子和洞电线尺寸， iii )因为紧张的功能是近似寓言的，由增加的吸收阀值精力减少为压缩、张力的紧张和它的行为拉紧， iv )吸收阀值精力(为所有尺寸)使用 EMA 获得比 DFT 结果的大。
Using the particle swarm optimization algorithm on crystal structure prediction,we first predict that Mg Y alloy undergoes a first-order phase transition from Cs Cl phase to P4/NMM phase at about 55 GPa with a small volume collapse of 2.63%.The dynamical stability of P4/NMM phase at 55 GPa is evaluated by the phonon spectrum calculation and the electronic structure is discussed.The elastic constants are calculated,after which the bulk moduli,shear moduli,Young’s modui,and Debye temperature are derived.The brittleness/ductile behavior,and anisotropy of two phases under pressure are discussed in details.Our results show that external pressure can change the brittle behavior to ductile at10 GPa for Cs Cl phase and improve the ductility of Mg Y alloy.As pressure increases,the elastic anisotropy in shear of Cs Cl phase decreases,while that of P4/NMM phase remains nearly constant.The elastic anisotropic constructions of the directional dependences of reciprocals of bulk modulus and Young’s modulus are also calculated and discussed.
We use the Galerkin approach and the finite-element method to numerically solve the effective-mass Schr¨odinger equation.The accuracy of the solution is explored as it varies with the range of the numerical domain.The model potentials are those of interdiffused semiconductor quantum wells and axially symmetric quantum wires.Also,the model of a linear harmonic oscillator is considered for comparison reasons.It is demonstrated that the absolute error of the electron ground state energy level exhibits a minimum at a certain domain range,which is thus considered to be optimal.This range is found to depend on the number of mesh nodes N approximately as α0 logeα1（α2N）,where the values of the constants α0,α1,and α2are determined by fitting the numerical data.And the optimal range is found to be a weak function of the diffusion length.Moreover,it was demonstrated that a domain range adaptation to the optimal value leads to substantial improvement of accuracy of the solution of the Schr¨odinger equation.
We have investigated the dynamics of a protomer coupled to two different decoherent environments,each in a configuration called the spin star configuration.Using the quantum mechanics method,in different situations,we obtain the analytical expressions for the transition probability in the protomer system.In thermal equilibrium,there exist well-defined ranges of parameters for which decoherent interaction between the protomer and the environment assists energy transfer in the protomer system,while in pure quantum mechanics states,the decoherent interaction assists energy transfer for an eigenstate but against energy transfer for quantum mechanics averages.In particular,we also find that the dimerization of two bacteriochlorophylls in protomer can always assist energy transfer in certain parameter range,and in the appropriate spin bath energy,the efficiency of energy transport is sensitively depended on the temperature of environments.