211 research outputs found
Characteristics of reaction-diffusion on scale-free networks
We examine some characteristic properties of reaction-diffusion processes of
the A+A->0 type on scale-free networks. Due to the inhomogeneity of the
structure of the substrate, as compared to usual lattices, we focus on the
characteristics of the nodes where the annihilations occur. We show that at
early times the majority of these events take place on low-connectivity nodes,
while as time advances the process moves towards the high-connectivity nodes,
the so-called hubs. This pattern remarkably accelerates the annihilation of the
particles, and it is in agreement with earlier predictions that the rates of
reaction-diffusion processes on scale-free networks are much faster than the
equivalent ones on lattice systems
P5_6 Yo Ho, Yo Ho, It's A Buoyant Life For Me!
In this paper, we have calculated whether the crew of the Black Pearl would have been able to walk along the sea bed while in skeleton and human form. We find that while in skeleton form they would be able to walk along the bottom, however when they lose the moonlight and turn back to human they would start to rise to the surface due to their added buoyancy. This means that the journey along the sea bed would only be possible on a clear night, with the moonlight unobscured
P5_8 A Mechanised Mitigation of a Mayonnaise Mess-Up
In this paper, an analysis is carried out of an aviation propeller strapped to an office chair as a life-saving device. If one were to find themselves in trouble, this device would be able to hold a human atop the mayonnaise surface, averting disaster. The rotational speed necessary for the propeller was calculated in this paper via consideration of the coefficient of thrust. The rate required was found to be 6.5804 rad/s
P5 2 Avian Affluence and Bovine Business Strategies
In the story “Jack and the Beanstalk”, Jack obtains a golden egg from a goose owned by a giant. Using equations describing the curvature of avian eggs, the volume, mass and eventually the value of the egg were obtained. It was calculated that the egg had a value of £1775.69 in 1845 when the popular Henry Cole rendition was published, which could have purchased 332 cows. This is a profit of 33200%
P5_4 The Relatively Special Voyager 1 Clock
We calculate the extent of the effects of special relativity on the Voyager 1 space probe by calculating the difference in time between an atomic clock in a stationary frame on Earth and one on the Voyager 1. We determine that there would be a difference of 2.19. We also calculate the change in length to be and the change in mass to be . We also discuss the possible pitfalls of our assumptions
P5_7 Palpatine's Pudding Powered Paws
In this paper, we have calculated the number of calories Palpatine would have needed to consume in order to charge his hands to produce to force lightning used to kill Mace Windu. We find that Palpatine would have had to eat 38,334 portions of Wetherspoons Apple Crumble and Custard in order to generate the energy required to produce the force lightning. The magnitude of the value is highlighted by the fact that he would need to have 1 portion of pudding for 105 years to achieve this, showing that `The Force' must play a role since this is an unfeasible amount to eat
P5_12 Putting the JWST in Jeopardy
We investigate why the JWST was put at L2 not L1. We calculate the effects of solar wind on thetelescope if it had been put at L1. We find that the solar wind would exert a force on the telescopeof 5.18×10−3N. We also determine that within 1.89 years the telescope would have crashed backdown to Earth
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