Analytical and numerical results are presented for models of a complex network exhibiting growth via preferential (Barabási-Albert model), random and a mixture of both preferential and random attachment.
Results of a Monte-Carlo simulation of a 10 by 10 Ising lattice are presented. The Metropolis dynamics in non-zero external field reveal metastability and hysteresis phenomena characteristic of permanent magnets.
The speed of light is one of Nature’s fundamental constants. It is pivotal to our understanding of space and time and is generally believed to restrict the speed at which information can be sent. But what exactly does it mean to have a maximum speed and why can’t it be exceeded?
The probabilistic nature of radioactive decay is discussed and simulated via the “radioactive dice” experiment. The decay constant is examined and related to the probability of decay.
A mass moves under gravity on a frictionless ramp, which rotates at a constant angular velocity. The object's equation of motion is derived and an expression is found for the condition under which the mass leaves the surface of the ramp.
A force-free mass is observed in free fall within a rotating frame of reference, leading to the appearance of “artificial gravity”. Expressions are derived for the object's equation of motion and its time of flight.
A mass moves under gravity on a curved ramp exhibiting friction. The Coulomb model of dry friction is assumed in order to derive the object's equation of motion and the work done against friction by the mass.
An introduction to chaos theory based on an undergraduate presentation given by Paul Secular at St. John's College, Oxford. The series L-R-varactor circuit is discussed as an example of a simple physical system exhibiting chaotic behaviour.