Normal Distribution, Maxwell Boltzmann, Brownian Motion, Diffusion Equation, Entropy.
equilibrium, because its entropy will eventually reach a maximum, differentiation of entropy should be zero: δS = k Σ[δn_i ln n_i) + n_i δn_i/n_i -δn_i ] = 0, or Σ [δn_i ln n_i ] = 0 ………….……(6) Differentiating (2) and (3) yields Σδn_i = 0, ……………….…………(7) Σ ε_i δn_i = 0, …………….………(8) Multiplying (7)