Einstein Solid
Einstein Solid
The 2D array on the left is a simplified model of a solid, where each cell represents an oscillator whose energy is some multiple of ℏω. In the initial state, the energy of each cell is exactly ℏω. At each successive step, one quantum of energy is transferred between two randomly chosen cells. After about 20,000 steps, the distribution of energies closely approximates the Boltzmann distribution and thermal equilibrium is obtained.