Register to reply

Brownian motion: Gaussian distribution

by SoggyBottoms
Tags: brownian, distribution, gaussian, motion
Share this thread:
Mar6-12, 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 x-axis 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?
Phys.Org News Partner Science news on
NASA team lays plans to observe new worlds
IHEP in China has ambitions for Higgs factory
Spinach could lead to alternative energy more powerful than Popeye

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