11. By harvesting the energy from Brownian motion , we will simply be absorbing heat. 12. The mortals and angels hop around randomly like soot particles in Brownian motion . 13. Where B is the Wiener process ( standard Brownian motion ). 14. Brownian motion , convection, and other considerations might yield a very complicated and statistical answer.15. In 1906 Smoluchowski published a one-dimensional model to describe a particle undergoing Brownian motion . 16. The way that nature has been able to exploit Brownian motion is through self-assembly. 17. The dynamics has been described as deterministic fractional Brownian motion , and exhibits anomalous diffusion. 18. For example, to study Brownian motion , probability is defined on a space of functions. 19. More accurate numerical values can be obtained considering the Brownian motion of the beads. 20. Let B _ t be a d-dimensional standard Brownian motion .
