Normal Distribution, Maxwell Boltzmann, Brownian Motion, Diffusion Equation, Entropy.
each velocity component is distributed as follows: f_v(v_i) = C exp[-(1/2)βm(v_i)²]. Determining C from the normalisation condition of a probability density function, we obtain the final results: f(v_i) = sqrt(βm/2π) exp[-(1/2)βm(v_i)²], which is the standard normal distribution with the variance