The average displacement of a particle in this process is proportional to the square root of the time, as in a random walk.
One example of this phenomenon was constructed by taking the limit of the linear interpolation of the dyadic rationals, which converges uniformly. A fluctuation-diffusion relation for this phenomenon sets the diffusion constant proportional to mobility times temperature. Considering only a drag force and a random force of zero mean lets this phenomenon be modeled by the (*) Langevin equation. Only when the temperature of the pawl is higher than the paddle can work be extracted from this process in a thought experiment of Feynman. The average displacement of a particle in this process is proportional to the square root of the time, as in a random walk. For 10 points, name this process modeling the random motion of particles in a fluid.
One example of this phenomenon was constructed by taking the limit of the linear interpolation of the dyadic rationals, which converges uniformly.
Brownian motion [or Wiener process]