In physics, if you randomly divide a fixed amount of energy among n particles, you will obtain a boltzmann (exponential) distribution of particle energies, such

In physics, if you randomly divide a fixed amount of energy among n particles, you will obtain a boltzmann (exponential) distribution of particle energies, such that a small number of particles have very high energy and while many have only a little. Similarly, if you randomly divide a fixed amount of wealth among n individuals, you end up with a boltzmann distribution of wealth, such that a small number if individuals have a lot of the wealth, while many have only a little. The boltzmann distribution is the maximum entropy distribution, for fixed total energy or fixed total wealth.