Sentence examples for spacing of particles from inspiring English sources

We extend the system to the noncolliding process with an infinite number of particles, when the initial configuration has equidistant spacing of particles, and show a relaxation phenomenon to the equilibrium determinantal point process with the sine kernel.

We construct the Dirichlet forms and the associated diffusion processes on the configuration space of particles moving on the Euclidean space Rd, for which certain fermion random point fields are invariant.

The 2D space of particle constituents (internal attributes) is discretized into bins by using arbitrarily spaced constant composition radial lines and constant mass lines of slope −1.

Based on the relationship between jammed particles and void fraction within a confined interfacial space, we are able to define the boundary condition of the minimal 'cryoprotectant to particle ratio' required for effective design space of particle isolation and cryoprotection.

The dominant decomposition mode is described in terms of a stability map, which defines regions of the fastest growing composition modulation in a space of particle radius and km, where km is the most unstable mode in the bulk system.

We established phase diagrams in the space of particle size and ligand density for both the endocytic time and the cellular uptake.

We construct a phase diagram of the uptake rate in the space of particle size and ligand density, which may serve as a design map for NP-based therapeutics.

The phase diagram of the uptake rate in the space of particle size and ligand density thus serves as a design map that guides the rational designs of NP-based bioagents for biosensing [38], [39], bioimaging [40], [41], and drug delivery [42], [43].

Coupling between the waves is by conservative (inertial) forces and the dilatational phenomenon in each arises from the longitudinal spacing of the particles.

Under the melting process, the incorporation of various types of organo-modified montmorillonites into PLLA matrix lead to the increase in the basal spacing of clay particles in different manner without delamination into individual layers.

Furthermore, a dimensionless criterion is established allowing the prediction of tribo-charging regimes and the trend of space evolution of particles charges.