A calculation based on flat spacetime symmetries shows how there can be two quantum phases. For one, extreme phase change determines a conventional classical trajectory and four-momentum, i.e. mass times four-velocity. The other phase occurs in an effective particle state, with the effective energy and momentum being the rate of change of the phase with respect to time and distance. A cosmic ra...

In topological quantum computation the geometric details of a particle trajectory are irrelevant; only the topology matters. Taking this one step further, we consider a model of computation that disregards even the topology of the particle trajectory, and computes by permuting particles. Whereas topological quantum computation requires anyons, permutational quantum computation can be performed ...

This paper suggests a method to control the particle size distribution in semi-batch emulsion homopolymerizations under structural plant-model mismatch. In this approach, firstly a nominal monomer feed input trajectory is applied to the plant up to a predefined time instant after the start of the batch (mid-course). By means of a calorimetric observer, all states of the system except the partic...

We analyze the dynamic behavior of a spherical microparticle submerged in a fluid medium, driven to the node of a standing bulk acoustic wave created by two opposing transducers. We derive the dynamics of the fluid-particle system taking into account the acoustic radiation force and the time-dependent and time-independent drag force acting on the particle. Using this dynamic model, we character...

Stochastic particle-resolved methods are a useful way to compute the time evolution of the multi-dimensional size distribution of atmospheric aerosol particles. An effective approach to improve the efficiency of such models is the use of weighted computational particles. Here we introduce particle weighting functions that are power laws in particle size to the recently-developed particle-resolv...

We study the motion of a cylindrical particle translating slowly in a long tube as a function of the particle's dimensions and placement both in the presence and the absence of external pressure gradients. The cylinder acts as a "leaky" piston, generating both fluid recirculation and through flow. When the particle is long, analytic expressions are obtained for both the velocity field and the f...

The main challenge with particle filtering is particle degeneracy and the accurate estimation cannot be achieved generally because of serious impoverishment problem, although resampling operation could solve degeneracy to a certain extent. In this paper, we propose an improved particle filtering approach based on biogeography-based optimization (BBO) algorithm, called BBO-PF, for state estimati...

Single-particle tracking (SPT) microscopy is increasingly used to characterize nanoparticulate systems. We introduce a concept for estimation of particle number concentration in Brownian particle dispersions using SPT based on a model for the trajectory length distribution of particles to estimate the detection region volume. The resulting method is independent of precalibration reference measu...

Separation of micro particle is an important issue in microfluidic devices. In this paper we present separation of 10 (um) and 15 (um) micro particles on one-step and multi-step insulator-Dielctrophorsis (iDEP) as numerically. For this purpose, Laplace and Navier-Stokes equations are solved with stationary-state. In following, particle trajectory was obtained with regarding dielectrophoresis an...

We present a method for identifying the coherent structures associated with individual Lagrangian flow trajectories even where only sparse particle trajectory data are available. The method, based on techniques in spectral graph theory, uses the Coherent Structure Coloring vector and associated eigenvectors to analyze the distance in higher-dimensional eigenspace between a selected reference tr...