New approach to classical thermodynamics
- Authors: Maslov V.P.1,2
-
Affiliations:
- National Research University Higher School of Economics
- Ishlinsky Institute for Problems in Mechanics
- Issue: Vol 100, No 1-2 (2016)
- Pages: 154-185
- Section: Survey Papers
- URL: https://journals.rcsi.science/0001-4346/article/view/149591
- DOI: https://doi.org/10.1134/S0001434616070142
- ID: 149591
Cite item
Abstract
The author constructs a new conception of thermodynamics which is based on new results in number theory. We consider a maximally wide range of gases, liquids, and fluids to which, in principle, the Carathéodory approach can be applied. The Carathéodory principle is studied using the Lennard-Jones potential as an example. On the basis of this example, we analyze the dispersive structure of a fluidwhose density exceeds the critical value. We introduce a new parameter, the “jamming factor,” which determines the jamming effect for such fluids. A comparison with experimental data for nonpolar molecules is carried out. The phase transition “liquid-amorphous solid” is studied in detail in the domain of negative pressures. We discuss the theoretical relationship between the obtained solutions and econophysics, some mysteries in biology, and other sciences.
Keywords
About the authors
V. P. Maslov
National Research University Higher School of Economics; Ishlinsky Institute for Problems in Mechanics
Author for correspondence.
Email: v.p.maslov@mail.ru
Russian Federation, Moscow; Moscow