Bernoulli bond percolation on a square lattice
Submitted by Nils Berglund on
Bernoulli bond percolation on a square lattice, for different lattice sizes.
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Percolation
Submitted by Nils Berglund on
Bernoulli site percolation on a square lattice, for different lattice sizes.
Transition from 3-branched to 5-branched spirals in the Rock-Paper-Scissors-Lizard-Spock equation
Submitted by Nils Berglund on
Solution of a reaction-diffusion equation involving five chemicals, each of them dominating two others. There are two interaction parameters, which are equal at the beginning of the simulation. As one of them decreases to zero, spirals with 5 branches appear.
Rock-Paper-Scissors-Lizard-Spock reaction-diffusion equation
Submitted by Nils Berglund on
Solution of a reaction-diffusion equation involving five chemicals, each of them dominating two others.
The Allen-Cahn equation on the two-dimensional torus
Submitted by Nils Berglund on
This is a 3D rendering of a solution of the Allen-Cahn equation in a rectangular domain with periodic boundary conditions. Both the z-coordinate and the color hue show the value of the solution, with blue indicating positive values, and red indicating negative ones. By increasing the viscosity (which measures the magnitude of diffusion) over time, one accelerates the coarse-graining dynamics of the system, separating blue and red phases. The luminosity depends on the angle between a normal vector to the surface and a fixed direction, to emulate the effect of a far away light source.
A circular lens, wave height and cumulative energy in 3D
Submitted by Nils Berglund on
This simulation shows the working of a lens made of a circular segment, that is, a disc cut by a straight line. The lens works here like the objective of a camera, by concentrating an incoming planar wave at the focal point of the lens. The index of refraction of the lens is equal to 5/3 = 1.666…, so that according the the lensmaker’s equation, the focal length should be equal to 1.5 times the radius of the circle.
decoherence
Submitted by Torsten Stier on
I admit this is superficial and graphic, but descriptive. The title is a reminiscence of Scott Buckley’s tune, which provides the soundtrack.
Colorful Brownian Motion
With this web demo, you can play around with and learn something about Brownian Motion, a fundamental concept in the theory of stochastic processes and probabilistic physics.
But what is a Neural Network?
Submitted by Bianca Violet on
What is a Neural Network?
Beautifully explained using the example: number recognition.
MENACE: the pile of matchboxes which can learn
Submitted by Bianca Violet on
Footage of a live experience where an AI was trained to win at Tic Tac Toe by using matchboxes filled with plastic beads to adjust probabilities based on past games.