3D Brownian Motion

Particles undergoing random thermal motion. Mean square displacement grows linearly: ⟨r²(t)⟩ = 6Dt, where D is the diffusion coefficient.

Controls

Particles 20 Step size σ 3.0 Trail length 80

Live Stats

MSD: —
√⟨r²⟩: —
Steps: —

MSD vs Time

Theory

⟨r²⟩ = 6Dt
D = σ²/(2Δt)
P(x,t) = Gaussian
σ_x = √(2Dt)