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71.
K. Kundu B.C. Gupta 《The European Physical Journal B - Condensed Matter and Complex Systems》1998,3(1):23-33
We study the formation of stationary localized states using the discrete nonlinear Schr?dinger equation in a Cayley tree with
connectivity K. Two cases, namely, a dimeric power law nonlinear impurity and a fully nonlinear system are considered. We introduce a transformation
which reduces the Cayley tree into an one dimensional chain with a bond defect. The hopping matrix element between the impurity
sites is reduced by . The transformed system is also shown to yield tight binding Green's function of the Cayley tree. The dimeric ansatz is used
to find the reduced Hamiltonian of the system. Stationary localized states are found from the fixed point equations of the
Hamiltonian of the reduced dynamical system. We discuss the existence of different kinds of localized states. We have also
analyzed the formation of localized states in one dimensional system with a bond defect and nonlinearity which does not correspond
to a Cayley tree. Stability of the states is discussed and stability diagram is presented for few cases. In all cases the
total phase diagram for localized states have been presented.
Received: 18 September 1997 / Revised: 31 October and 17 november 1997 / Accepted: 19 November 1997 相似文献
72.
Erwin Schmitt Thomas Straubinger Michael Rasp Arnd-Dietrich Weber 《Superlattices and Microstructures》2006,40(4-6):320
For several years the major focus of material issues in SiC substrates was laid on the reduction of macroscopic defects like polytype inclusions, low angle grain boundaries and micropipes. Although significant improvements have been achieved, there are still shortcomings in material quality that have to be overcome. Since it is clear that dislocations are the main reason for degradation in power devices the prevailing attention has shifted to that field of material research. The aim of our work was to investigate the mechanisms that affect the generation of macroscopic and microscopic defects during sublimation growth. Intense studies were utilized on dislocation and stacking fault formation. For this reason we systematically varied parameters of the growth process and applied several methods for the characterization to evaluate material properties most precisely, e.g. KOH-defect-etching, X-ray-diffraction, electron microscopy and optical microscopy. The investigations were accompanied by failure analysis of devices of the Schottky type. We found out that for the improvement of substrate quality emphasis has to be laid on the reduction of thermoelastic stress in the growing crystal. From results of numerical calculations we were able to derive moderate growth conditions with reduced temperature gradients prevailing during the growth process. As a consequence we succeeded in decreasing the defect concentration. The best value so far achieved for the sum of both BPD and TED was 7×103 cm−2. 相似文献
73.
Markus Lazar 《Physics letters. A》2010,374(30):3092-3098
We investigate the nonuniform motion of a straight screw dislocation in infinite media in the framework of the translational gauge theory of dislocations. The equations of motion are derived for an arbitrarily moving screw dislocation. The fields of the elastic velocity, elastic distortion, dislocation density and dislocation current surrounding the arbitrarily moving screw dislocation are derived explicitly in the form of integral representations. We calculate the radiation fields and the fields depending on the dislocation velocities. 相似文献
74.
75.
The activity of a growth centre, consisting of two transversal screw dislocations with equal Burgers' vectors at constant supersaturation and temperature, is theoretically discussed. A non-linear squared differential equation of the type describing oscillations in autonomous systems is obtained and solved approximately and numerically. The correlation theory - experiment is analysed and the applicability of the results is assessed. 相似文献
76.
H. Beckmann G. Bergmann 《The European Physical Journal B - Condensed Matter and Complex Systems》2000,13(3):495-502
Sandwiches made from Fe and Cs films are investigated as a function of the magnetic field and the Cs thickness. Conduction
electrons which cross from the Fe to the Cs are marked by a drift velocity component perpendicular to the electric field.
The anomalous Hall effect in the Fe provides this “non-diagonal” kick to the electrons that cross from the Fe into the Cs.
The ballistic propagation of the conduction electrons can be monitored as a function of the Cs film thickness. The free propagation
into the Cs is measured in terms of the non-diagonal conductance Lxy which we denote as the “induced anomalous Hall conductance”L
xy
0. For a normal (non-magnetic) metal in contact with Fe, Lxy increases with the thickness of the normal metal until the film thickness exceeds (half) the mean free path of the conduction
electrons. For Cs on top of Fe the induced anomalous Hall conductance increases up to a Cs coverage of about 100 A, then,
in contrast to other non-magnetic metals, L
xy
0 decreases for larger Cs coverage and approaches zero. This behavior cannot be explained with the free electron model. The
strange behavior of the induced AHC in Cs films adds an even more challenging mystery to the already poorly understood properties
of thin Cs films. These results defy explanation in the free electron model.
Received 29 April 1999 and Received in final form 10 July 1999 相似文献
77.
Sho Kujirai 《哲学杂志》2020,100(16):2106-2127
ABSTRACT The mechanical properties of metals used as structural materials are significantly affected by hot (or warm) plastic working. Therefore, it is industrially important to predict the microscopic behaviour of materials in the deformation process during heat treatment. In this process, a number of nuclei are generated in the vicinity of grain boundaries owing to thermal fluctuation or the coalescence of subgrains, and dynamic recrystallisation (DRX) occurs along with the deformation. In this paper, we develop a DRX model by coupling a dislocation-based crystal plasticity model and a multi-phase-field (MPF) model through the dislocation density. Then, the temperature dependence of the hardening tendency in the recrystallisation process is introduced into the DRX model. A multiphysics simulation for pure Ni is conducted, and then the validity of the DRX model is investigated by comparing the numerical results of microstructure formation and the nominal stress–strain curve during DRX with experimental results. The obtained results indicate that in the process of DRX, nucleation and grain growth occur mainly around grain boundaries with high dislocation density. As deformation progresses, new dislocations pile up and subsequent nucleation occurs in the recrystallised grains. The influence of such microstructural evolution appears as oscillation in the stress–strain curve. From the stress–strain curves, the temperature dependence in DRX is observed mainly in terms of the yield stress, the hardening ratio, and the change in the hardening tendency after nucleation occurs. 相似文献
78.
Recent results obtained by 3D discrete Dislocation Dynamics (DD) simulations are reviewed. Firstly, in the case of fatigued AISI 316L stainless steel, it is shown how DD simulations can both explain the formation of persistent slip bands and give a criterion for crack initiation. The same study is performed in the case of precipitate hardened metals where the precipitate size plays a crucial role. Secondly, we show how molecular dynamics (MD) simulations can feed the DD simulations for two applications. The first concerns the modelling of BCC Fe for which the dislocation mobility is derived from MD simulations. The second considers the modelling of irradiated stainless steels (FCC), where MD is used to define the local rules of interactions between dislocations and Frank loops. To cite this article: M.C. Fivel, C. R. Physique 9 (2008). 相似文献
79.
High speed neutral clusters and mercury droplets from a gas jet impactor are allowed to collide with graphite surfaces. These collisions produce a variety of dislocations. One of the dislocations is a narrow dislocation band with atomic resolution. This band has two partial dislocations on the sides of a central region of abc structure. 相似文献
80.
Y. Zhang Y. Yao 《The European Physical Journal B - Condensed Matter and Complex Systems》2007,55(4):355-362
A model is developed to investigate the two-dimensional interfacial
misfit dislocation networks that follows the original Peierls-Nabarro idea.
Structure and energies of heterophase interfaces are considered for the cubic
lattice. To examine the energy contribution of misfit dislocations, where
interactions between two dislocation arrays are concerned, a generalized
stacking fault energy is proposed. Combined with first-principles
calculations, we apply this model to a practical metal-ceramic example: the
Ag/MgO(100) interface. An important correction to the adhesive energy
is proposed in addition to its dislocation structure being confirmed. 相似文献