On the universality of distribution of ranked cluster masses at critical percolation

The distribution of masses of clusters smaller than the infinite cluster is evaluated at the percolation threshold. The clusters are ranked according to their masses and the distribution $P(M/L^D,r)$ of the scaled masses M for any rank r shows a universal behaviour for different lattice sizes L (D is the fractal dimension). For different ranks however, there is a universal distribution function only in the large rank limit, i.e., $P(M/L^D,r)r^{-y\zeta } \sim g(Mr^y/L^D)$ (y and $\zeta$ are defined in the text), where the universal scaling function g is found to be Gaussian in nature.Comment: 4 pages, to appear in J. Phys.

World Court and United Nations Charter: The Principle of Effectiveness in Interpretation

Can plant seeds disperse with- out wind? This can be said to be the question that sparked this project. Plants and animals use all kinds of appendages to aid their locomotion, e.g. feathers, hairs or fins. Some of these appendages may be used for a type of passive locomotion that utilizes the separated flow around the main body, without the need for additional energy expenditure. This report details the investigation of a three dimensional cylinder of diameter D, with a lament of length L attached to the rear. The cylinder is placed in a uniform flow and the mean position of the lament is measured for various lengths. It is found that long ( L/D > 6) and short (L/D < 2) filaments tend to align with the flow. Where for intermediate lament lengths (2 < L/D < 6) the filament lie down on the cylinder and is aligned with the cylinder axis.  Kan frön spridas utan vind? Detta var frågan som startade detta projekt. Växter och djur använder alla möjliga bihang för att hjälpa deras rörelser, t.ex. fjädrar, hår eller fenor. En del av dessa bihang kan användas för en slags passiv förflyttning som utnyttjar den strömning som separerats från kroppen utan att behöva tillföra ytterligare energi. Den här rapporten handlar om undersökandet av en tredimensionel cylinder, med diameter D, som har ett lament med längd L fastsatt bakom sig. Cylindern är placerad i en homogen strömning och lamentets medelposition är uppmät för varierande längd på filamentet. Det observerades att långa (L/D>6) och korta (L/D < 2) lament rör sig med strömningen. Medans för mellanliggande längder på lamentet (2 < L/D < 6) så lägger sig lamentet ner på cylindern längs med dess axel

Effect of number of lobes and length-diameter ratio on stability of tilted-lobe hydrodynamic journal bearings at zero load

Hydrodynamic journal stability tests were conducted with tilted-lobe bearings. The bearings had three, five, and seven lobes and length to diameter (L/D) ratios from 0.2 to 1.0. They were tested in water and MIL-L-7808G oil at 294 K (70 F) at speeds to 5400 rpm with zero load. Stability was not appreciably affected by the number of lobes and decreased with a decrease in L/D ratio. However, a three-tilted-lobe bearing with an offset factor of 0.76 and an L/D of 0.5 was more stable than a three centrally lobed bearing with an offset factor of 0.50 and an L/D of 1.0