PROMISES AND CHALLENGES OF FRACTAL THERMODYNAMICS

The fractal thermodynamics deals with thermodynamical phenomena to find na- ture laws in a fractal space. Here is introduced a new concept of fractal entropy, and the traditional principle of entropy increase should be revised as the fractal entropy equilibrium. Additionally, the law of brachistofractality, or the minimal fractional dimensions law, is also introduced, it implies that an object remains its fractal dimensions unchanged without an external action, and it minimizes its fractal dimensions under an external perturbation. An example is given to meas- ure the fractal dimensions of a fabric, so that a swimming vest with minimal fric- tion can be optimally designed. This article offers a new angle for observing a thermodynamical phenomenon.