Normal Distribution, Maxwell Boltzmann, Brownian Motion, Diffusion Equation, Entropy.
configuration II as an example. The IV is the most probable configuration of the system with the maximum entropy. Using the Sterling’s approximation for the logarithm of factorial: ln x! = x ln x — x, we obtain S = -k {N ln N — N — Σ[n_i ln n_i — n_i]}. When the gas system reaches a thermal