The new proof broadly consists of three steps: derive the macroscopic theory from the mesoscopic one; derive the mesoscopic ...

Ludwig Boltzmann argued that if you knew the probability of where each particle was and how fast ... from Newton’s laws to ...

It relates the diffusion coefficient (D) of a particle to its radius (r ... Extensions and modifications to the equation have been developed to address some of these limitations. Brownian motion ...

To describe aggregating particle behavior in the ... with Navier-Stokes equations. These are two fundamental descriptions of fluid motion dating back to the middle of the 18th and the middle ...

Newton’s theory of universal gravitation says that every particle in the universe attracts ... building that can withstand them. His simple equation for universal gravitation, written in 1666 ...

Video capture: The laser illuminates the sample, and the camera records a video of the nanoparticles' Brownian motion ... of each tracked particle and determines its diffusion coefficient. Using the ...