Journal article
Thermodynamics in fractal geometries: a fractal calculus approach: Thermodynamics in fractal geometries
European physical journal plus, Vol.141(7), 864
07/27/2026
DOI: 10.1140/epjp/s13360-026-08074-w
Abstract
This paper establishes a fractal thermodynamic framework by leveraging the principles of fractal calculus. Beginning with a concise review of fractal calculus and its essential mathematical preliminaries, we extend the classical First and Second Laws of Thermodynamics to fractal geometries. Furthermore, we define and analyze fractal thermodynamic potentials within this generalized context. Using representative examples and comparative visualizations, we highlight the distinct deviations of fractal behavior from classical thermodynamics. Our findings demonstrate that this fractal formulation offers a robust and effective approach for modeling complex thermodynamic processes in irregular, non-smooth systems.
Details
- Title: Subtitle
- Thermodynamics in fractal geometries: a fractal calculus approach: Thermodynamics in fractal geometries
- Creators
- Alireza Khalili Golmankhaneh - Islamic Azad University, West Tehran BranchAirton Deppman - Universidade de São PauloPalle E. T. Jørgensen - University of Iowa
- Resource Type
- Journal article
- Publication Details
- European physical journal plus, Vol.141(7), 864
- DOI
- 10.1140/epjp/s13360-026-08074-w
- ISSN
- 2190-5444
- eISSN
- 2190-5444
- Publisher
- Springer Berlin Heidelberg
- Grant note
No funding was received for conducting this study.
- Language
- English
- Date published
- 07/27/2026
- Academic Unit
- Mathematics
- Record Identifier
- 9985215765902771
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