Solution of the gibbs paradox using the notion of entropy as a function of the fractal dimension
Виктор Павлович Маслов · Russian Journal of Mathematical Physics · 2010
Events are said to be independent if the entropies corresponding to these events add up. Here by the entropy we mean the binary logarithm of the number of variants of the corresponding events. The main problem is the notion and the evaluation of entropy. This notion is the tone of a new concept in thermodynamics, namely, that of fractal dimension; corners the fractal dimension is related to the density of the gas and of the fluid, and these phenomena lead to unexpected physical effects like jamming and chaotic states of glass dust.