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Herricane
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I watched a show on Fractals and it sort of remind me of Brownian motion. So my question is has anyone ever used fractals to explain Brownian motion?
Herricane said:I watched a show on Fractals and it sort of remind me of Brownian motion. So my question is has anyone ever used fractals to explain Brownian motion?
Herricane said:I watched a show on Fractals and it sort of remind me of Brownian motion. So my question is has anyone ever used fractals to explain Brownian motion?
Fractals are mathematical objects that exhibit self-similarity at different scales. They are geometric patterns that repeat themselves infinitely, creating complex and intricate structures.
Brownian motion is the random movement of particles suspended in a fluid. It was first observed by Robert Brown in 1827 and later explained by Albert Einstein in 1905 as the result of collisions between the particles and molecules in the fluid.
Yes, fractals and Brownian motion are closely related. In fact, the mathematical equation for Brownian motion is a type of fractal known as a random walk. This means that the path of a particle undergoing Brownian motion is similar to the patterns found in fractals, with self-similarity at different scales.
Fractals and Brownian motion are used in various fields of science, including physics, chemistry, biology, and economics. They have been used to model the growth of plants and trees, the behavior of stock market prices, and the diffusion of molecules in a cell, among other applications.
A classic example of fractals and Brownian motion in real life is the flight pattern of a flock of birds. The movement of each individual bird is unpredictable and random, but when viewed as a whole, the flock exhibits a self-similar pattern at different scales, similar to a fractal.