By Prof. Dr. Robert Luzzi, Prof. Dr. Áurea Rosas Vasconcellos, Prof. Dr. José Galvão de Pisapia Ramos (auth.)

Some features of the physics of many-body platforms arbitrarily clear of equilibrium, often the characterization and irreversible evolution in their macroscopic kingdom, are thought of. the current prestige of phenomenological irreversible thermodynamics is defined. An procedure for development a statistical thermodynamics - dubbed Informational-Statistical-Thermodynamics - in response to a non-equilibrium statistical ensemble formalism is gifted. The formalism should be regarded as encompassed in the scope of the so-called Predictive Statistical Mechanics, during which the predictability of destiny states by way of the information of current and previous states, and the query of historicity with regards to platforms with complicated behaviour, is its major attribute. The booklet is suggested for researchers within the sector of non-equilibrium statistical mechanics and thermodynamics, in addition to a textbook for complex classes for graduate scholars within the sector of condensed topic physics.

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**Statistical Foundations of Irreversible Thermodynamics**

A few facets of the physics of many-body platforms arbitrarily clear of equilibrium, customarily the characterization and irreversible evolution in their macroscopic nation, are thought of. the current prestige of phenomenological irreversible thermodynamics is defined. An procedure for construction a statistical thermodynamics - dubbed Informational-Statistical-Thermodynamics - in response to a non-equilibrium statistical ensemble formalism is gifted.

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**Additional info for Statistical Foundations of Irreversible Thermodynamics**

**Example text**

In 1ST the entropy production follows from time derivation of Eq. 3) [cf. Eq. 11) with the time derivative following from Eq. 24). No definitive assertion concerning the sign of a-(r, t) can be made in general, due to its extremely complicated expression. 8) S(t) - S(to) = S(t) - 5G(t) ;::: o. 12), with the help ofEq. 13) to (to as before is the initial time of preparation of the system), which is an expression stating that the MaxEnt-IsT entropy cannot decrease in time. 3 Informational Statistical Thermodynamics 51 We call Eq.

T. Jaynes, including nonlocality in space and memory effects (space and time correlations), and nonlinear relaxation effects. The formalism is embedded in the transcendental work of N. N. Bogoliubov [93]. , and Lauck et al. derive a generalized nonlinear quantum transpor theory [122]. Moreover, elsewhere are described a MaxEnt-NESOM-basec response function theory and scattering theory for far-from-equilibriun systems governed by nonlinear kinetic equations, and an accompanyin! double-time nonequilibrium-thermodynamic Green function formalisn [101].

Moreover, if after an initial nonequilibrium state of preparation the system is left free of any exciting source, and kept in contact with ideal reservoirs, say, of energy and particles, the macrostate of the system evolves towards a final state of equilibrium described by the usual grand-canonical distribution. Once the general overview of the MaxEnt-NESOM has been presented, we proceed in next chapter to briefly describe the connection of the last two chapters in providing a framework for Informational Statistical Thermodynamics (1ST).