Fractal and Trans-scale Nature of Entropy: Towards a Geometrization of Thermodynamics

Fractal and Trans-scale Nature of Entropy: Towards a Geometrization of Thermodynamics develops a new vision for entropy in thermodynamics by proposing a new method to geometrize. It investigates how this approach can accommodate a large number of very different physical systems, going from combustion and turbulence towards cosmology. As an example, a simple interpretation of the Hawking entropy in black-hole physics is provided. In the life sciences, entropy appears as the driving element for the organization of systems. This book demonstrates this fact using simple pedagogical tools, thus showing that entropy cannot be interpreted as a basic measure of disorder.

Presents the strong link between geometry and thermodynamicsOffers an original understanding of entropyExplains how to visualize phenomena where thermodynamics and entropy are important in the optimization of thermal machines Explores entropy in thermodynamics through fractal geometry and trans-scale geometries

1. The Thermal Worm Model to Represent Entropy–Exergy Duality
2. Black Hole Entropy and the Thermal Worm Model
3. The Entropic Skins of Black-Body Radiation:a Geometrical Theory of Radiation
4. Non-extensive Thermodynamics, Fractal Geometryand Scale-entropy
5. Finite Physical Dimensions Thermodynamics
6. A Scale-Dependent Fractal and Intermittent Structure to Describe Chemical Potential and Matter Diffusion