A beam emission spectroscopy (BES) system for density fluctuation measurements having the sight lines passing through the plasma in the toroidal direction was developed in the Large Helical Device (LHD). The coverage of the area sampled by 15 × 100 optical fibers is nearly from the core to the edge on the horizontally elongated poloidal cross section with the spatial pitch of around 1.0 cm, and...

Position distributions of constituent particles of the perfect Bose-gas trapped in exponentially and polynomially anisotropic boxes are investigated by means of the boson random point fields (processes) and by the spatial random distribution of particle density. Our results include the case of generalised Bose-Einstein Condensation. For exponentially anisotropic quasi two-dimensional system (SL...

Exotic dark matter together with the vacuum energy (associated with the cosmological constant) seem to dominate the Universe. Thus its direct detection is central to particle physics and cosmology. Supersymmetry provides a natural dark matter candidate, the lightest supersymmetric particle (LSP). One essential ingredient in obtaining the direct detection rates is the density and velocity distri...

For a stationary Poisson hyperplane tessellation $X$ in ${\mathbb R}^d$, whose directional distribution satisfies some mild conditions (which hold the isotropic case, for example), it was recently shown that with probability one every combinatorial type of simple $d$-polytope is realized infinitely often by polytopes $X$. This result strengthened here: one, such appears among not only often, bu...

4 The ability of cells to undergo collective movement plays a fundamental role in tissue repair, 5 development and cancer. Interactions occurring at the level of individual cells may lead to the 6 development of spatial structure which will affect the dynamics of migrating cells at a population 7 level. Models that try to predict population-level behaviour often take a mean-field approach, whic...

Efficient search acts as a strong selective force in biological systems ranging from cellular populations to predator-prey systems. The search processes commonly involve finding a stationary or mobile target within a heterogeneously structured environment where obstacles limit migration. An open generic question is whether random or directionally biased motions or a combination of both provide ...