Brownian motion itself can be described approximately by a Langevin equation, an equation which involves a random force field representing the effect of the thermal fluctuations of the solvent on the Brownian particle. On long timescales, the mathematical Brownian motion is well described by a Langevin equation. On small timescales, inertial effects are prevalent in the Langevin equation. However the mathematical "Brownian motion" is exempt of such inertial effects. Note that inertial effects have to be considered in the Langevin equation, otherwise the equation becomes singular. so that simply removing the inertia term from this equation would not yield an exact description,
Brownian Motion Ultimate squared off against defending champions Colorado. Colorado, led by 2004 Callahan Award winner Josh "Richter" Ackley and sophomore Beau Kittredge, had had a more successful spring season than Brown, but the two teams had not yet faced each other. The night before the game, Brown's Josh Ziperstein was announced the 2005 Callahan Award winner, leading to a rare occurrence of two Callahan Award winners playing against each other in the finals. Brown defeated Colorado 15-14 in a game that featured incredible plays by both Brown and Colorado. 2005 2004 2003 2002 2001 2000 1999 1998 1996 Brownian Motion Ultimate Brownian