Study on Dissipative Mechanics and Thermodyna...

Study on Dissipative Mechanics and Thermodynamics in Finslerian Physics

Author Name : Jitendra Singh

ABSTRACT

This paper has been devoted to the study on dissipative mechanics and thermodynamics in Finslerian physics. In this paper we have studied Cartan's and Berwald's connections and Cartan's curvature tensors calculated Shibata[8], the results being too complicated to reproduce here. In this section, we have studied in thermodynamics there is also a Kropina geometry, but some case, that of parabolic geometry. Also in this paper we have use the statistical thermodynamics interpreted by means of information theory. This point of view consists in maximizing entropy of the probability distribution on the phase space of a physical system by some number of the given mean values of observables system. These values are assume to be macroscopically measurable and the essential thermodynamical parameters only, together with the conjugated Lagrange multipliers. The maximization procedure gives the well known exponential expressions for the equilibrium states, as the Gibbs states and their generalizations. Also we have obtained new class of generalized Kropina spaces which may be called thermodynamical spaces.

Keywords: Dissipative Mechanics, Thermodynamics in Finsler space, Kropina Geometry, Cartan's and Berwald's connections, Cartan's curvature tensors.