Characterisation of the diffusion states by data compression

A new method of characterisation of the diffusion is proposed by analysing the results obtained by data compression. By analysing the results of the diffusion process using a Monte Carlo method, it is shown that the ratio of compression could be a good parameter to quantify the rate of the dynamic process and the time to reach the equilibrium. If an accurate method of data compression is used, then some power laws can be found to characterise the diffusion time with both the size of the system and the increase in entropy.