Sound propagation in the sonic crystal (SC) along the symmetry direction is modeled by sound propagation through a variable cross-sectional area waveguide. A one-dimensional (1D) model based on the Webster horn equation is used to obtain sound attenuation through the SC. This model is compared with two-dimensional (2D) finite element simulation and experiment. The 1D model prediction of frequen...

The surface states in three-dimensional (3D) topological insulators can be described by a twodimensional (2D) continuous Dirac Hamiltonian. However, there exists the Fermion doubling problem when putting the continuous 2D Dirac equation into a lattice model. In this paper, we introduce a Wilson term with a zero bare mass into the 2D lattice model to overcome the difficulty. By comparing with a ...

A two-dimensional ~2-D! energy balance ~the 2D model! is reduced to a one-dimensioanl ~1-D! energy balance ~the 1D-radialspiral model! by a coordinate transformation approach. The 1D-radial-spiral model, even though 1-D, captures both radial and spiral heat conductions over a wide range of design parameters. By comparing the temperature predictions of the 1D-radial-spiral model and the 2D model...

the use of quantitative structure–activity relationships, since its advent, has becomeincreasingly helpful in understanding many aspects of biochemical interactions in drug research.this approach was utilized to explain the relationship of structure with biological activity ofantibacterial. for the development of new fungicides against, the quantitative structural–activityrelationship (qsar) an...

This paper proposes a 2D dynamical model for evaluating parameters affecting whiplash. In fact a four segment dynamical model is developed in the sagittal plane for the analysis. The model response is validated using the existing experimental data and is shown to simulate the "S-Shape" and "initial upward ramping" kinematics of the cervical spine and the resulting dynamics observed in human and...

A new class of fractional 2D linear discrete-time systems is introduced. The fractional difference definition is applied to each dimension of a 2D Roesser model. Solutions of these systems are derived using a 2D Z-transform. The classical Cayley-Hamilton theorem is extended to 2D fractional systems described by the Roesser model. Necessary and sufficient conditions for the positivity and stabil...

The vortex fluctuations have proved to be responsible for the onset of dissipation in thin type-II superconducting Aims. There is also growing evidence that dissipation in hightemperature superconductors exhibits the same kind of two-dimensional (2D) behavior. However, a proper analysis of these materials requires a thorough understanding of the two-dimensional fluctuations. This thesis may be ...

Quantum mechanical path integrals [1–4], also called first quantised path integrals, have been applied to some problems in curved spacetimes [5], such as to cosmological and black-holes issues [6–11]. A remarkable theoretical prediction in semi-classical gravity is that of the thermal and quantum radiation of black holes [12,13]. This result is recovered again in the present paper within the fo...

The Sony EyeToyTM is a webcam attachment for the Playstation2 (PS2) gaming console. The EyeToyTM places a user’s mirror image on a television screen while it detects their movements in order for them to manipulate objects and characters within a game. Although EyeToyTM is immediately popular due to the novelty of interaction, users often have trouble forming a mental model of how to manipulate ...