Randomness as an Equilibrium. Potential and Probability Density
  Randomness is viewed through an analogy between a physical quantity, density of gas, and a mathematical construct -- probability density. Boltzmann's deduction of equilibrium distribution of ideal gas placed in an external potential field than provides a way of viewing probability density from a perspective of forces/potentials, hidden behind it. 
M. Grendar, Jr., M. Grendar