Brownian Motion 2D

Stochastic diffusion — Einstein relation, MSD, and drift

Parameters

Live Statistics

Time t0.00
⟨r²⟩ (MSD)0.00
Theory 4Dt0.00
D (measured)
⟨x⟩ drift0.00
σ_x (std dev)0.00

MSD vs Time

Einstein relation: D = kT/(6πηr)
MSD = ⟨|r(t)-r(0)|²⟩ = 4Dt (2D)
Slope gives diffusion coefficient