Let A be the Cantor space of bi-infinite sequences in a finite alphabet A, and let σ be the shift map on A. A cellular automaton is a continuous, σ-commuting self-map Φ of A, and a Φ-invariant subshift is a closed, (Φ, σ)-invariant subset S ⊂ A. Suppose a ∈ A is S-admissible everywhere except for some small region we call a defect. It has been empirically observed that such defects persist unde...

Quasi-two-dimensional (2D) bounded heap flow is a useful model for granular flows in many industrial processes and natural phenomena. It belongs to the family of free surface flows inclined chute flow, rotating tumbler flow, and unbounded heap flow but is different from all of them in that the uniform deposition of particles onto the static bed results in the uniform rise of the heap and presum...

It is largely acknowledged that inhaled particles ranging from 0.001 to 10 m are able to reach and deposit in the alveolated regions of the lungs. To date, however, the bulk of numerical studies have focused mainly on micrometer sized particles whose transport kinematics are governed by convection and sedimentation, thereby capturing only a small fraction of the wider range of aerosols leading ...

The kinematics of dust particles during the early stage of mode-coupling induced melting of a two-dimensional plasma crystal is explored. It is found that the formation of the hybrid mode causes the particle vibrations to partially synchronize at the hybrid frequency. Phase- and frequency-locked hybrid particle motion in both vertical and horizontal directions (hybrid mode) is observed. The sys...

In this paper, we present a novel approach to three dimensional human motion estimation from monocular video data. We employ a particle filter to perform the motion estimation. The novelty of the method lies in the choice of state space for the particle filter. Using a non-linear inverse kinematics solver allows us to perform the filtering in end-effector space. This effectively reduces the dim...

We present numerical results obtained from a minimal relativistic model for three distinguishable particles of equal mass driven by a single bound or virtual state for each pair, which is a relativistic generalization of the zero range non-relativistic two particle scattering length model. In contrast to the non-relativistic case, the relativistic kinematics makes the three body equations conve...

We study the dynamics of a classical particle moving in a punctured plane under the influence of a strong homogeneous magnetic field, an electrical background, and driven by a time-dependent singular flux tube through the hole. We exhibit a striking classical (de)localization effect: in the far past the trajectories are spirals around a bound center; the particle moves inward towards the flux t...

We consider the proton and neutron quasiparticle orbits around the closed-shell (56)Ni and (48)Ca isotopes. It is found that large model spaces (beyond the capability of shell model applications) are necessary for predicting the quenching of spectroscopic factors. The particle-vibration coupling is identified as the principal mechanism. Additional correlations--due to configuration with several...

We consider the proton and neutron quasiparticle orbits around the closed-shell 56Ni and 48Ca isotopes. It is found that large model spaces (beyond the capability of shell-model applications) are necessary for predicting the quenching of spectroscopic factors. The particle-vibration coupling is identified as the principal mechanism. Additional correlations—due to configuration with several part...