The general principles and logical structure of a thermodynamic formalism that incorporates strongly self-gravitating systems are presented. This framework generalizes and simplifies the formulation of thermodynamics developed by Callen. The definition of extensive variables, the homogeneity properties of intensive parameters, and the fundamental problem of gravitational thermodynamics are disc...

Recently a number of approaches has been developed to connect the microscopic dynamics of particle systems to the macroscopic properties of systems in nonequilibrium stationary states, via the theory of dynamical systems. This way a direct connection between dynamics and Irreversible Thermodynamics has been claimed to have been found. However, the main quantity used in these studies is a (coars...

There exists a set of striking similarities between the laws governing the equilibrium mechanics of stationary black holes and the classical laws of thermodynamics. While the full development of this relationship requires the use of quantum field theory, the connection between thermodynamics and black hole mechanics is evident even in the framework of classical general relativity. This paper pr...

We aim to study the thermodynamic properties of the spherically symmetric reference frames with uniform acceleration, including the spherically symmetric generalization of Rindler reference frame and the new kind of uniformly accelerated reference frame. We find that, unlike the general studies about the horizon thermodynamics, one cannot obtain the laws of thermodynamics for their horizons in ...

The accurate modeling of the fast-fill dynamics occurring in Compressed Natural Gas (CNG) fueled vehicle storage cylinders is a complex process and to date those dynamics have not been thoroughly studied. Here, based on first law of thermodynamics, conversation of mass and thermodynamics properties table a numerical method has been developed to study fast filling process of natural gas vehicle’...

Thermodynamics provides a unified perspective of thermodynamic properties various substances. To formulate thermodynamics in the language sophisticated mathematics, is described by variety differential geometries, including contact and symplectic geometries. Meanwhile affine geometry branch compatible with information geometry, where known to be thermodynamics. By combining above, it expected t...

RESTRICTIONS on the quasi-static extension, or healing, of Griffith cracks are developed in the framework of irreversible thermodynamics. It is emphasized that thermodynamics requires that (G 2r)I > 0, where i is crack speed, G the Irwin energy release rate, and 2y the work of reversible separation of the surfaces to be fractured. Implications for ‘lattice trapping’ models of cracks and for the...

The physics of the base-pairing interaction in DNA and RNA molecules plays a fundamental role in biology. Past experimental and theoretical research has led to a fairly complete and quantitative understanding of the equilibrium properties such as the different phases, the melting behavior, and the response to slow stretching. The non-equilibrium behavior is even richer than might be expected on...