Brownian motion: Gaussian distributionby SoggyBottoms Tags: brownian, distribution, gaussian, motion 

#1
Mar612, 10:05 PM

P: 61

1. The problem statement, all variables and given/known data
A grain of pollen shows Brownian motion in a solvent, such that the position x(t) on the xaxis varies with time. The displacement during one second, x(t + 1)  x(t), is measured many times and found to have a Gaussian distribution with an average of 0 and standard devation σ. What is the average and standard deviation of the displacement x(t + 100) − x(t) during 100 seconds? 3. The attempt at a solution I would say the average would still be 0 and the SD still σ. Is that correct? 


Register to reply 
Related Discussions  
interpretation of the distribution of brownian motion  General Physics  1  
Why are smoke particles used in Brownian motion? What observations of Brownian motion  Introductory Physics Homework  1  
Gaussian process & Brownian motion  Calculus & Beyond Homework  0  
Brownian Motion  High Energy, Nuclear, Particle Physics  0  
Brownian Motion  Introductory Physics Homework  13 