Byung Chan Eu Boeken

The book explores the development of thermodynamics, particularly focusing on the theory of irreversible processes, which has not yet reached full maturity despite nearly 180 years of study. It builds on the foundational works of notable scientists and aims to generalize equilibrium thermodynamics to include non-equilibrium states and non-linear irreversible phenomena. The discussion emphasizes the continuum mechanical theory of matter and energy exchanges within macroscopic systems, moving beyond molecular considerations to address broader thermodynamic principles.

The book delves into nonequilibrium statistical mechanics, utilizing ensemble methods rooted in the Boltzmann equation. It addresses both classical and quantum dilute gases, as well as dense simple fluids through a generalized Boltzmann equation. The theories align with equilibrium Gibbs ensemble theory while adhering to thermodynamic laws. A key focus is on generalized hydrodynamics equations, which articulate the macroscopic evolution of processes in systems significantly out of equilibrium, providing a comprehensive framework for understanding complex thermodynamic behavior.

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This book presents the fundamentals of irreversible thermodynamics for nonlinear transport processes in gases and liquids, as well as for generalized hydrodynamics extending the classical hydrodynamics of Navier, Stokes, Fourier, and Fick. Together with its companion volume on relativistic theories, it provides a comprehensive picture of the kinetic theory formulated from the viewpoint of nonequilibrium ensembles in both nonrelativistic and, in Vol. 2, relativistic contexts. Theories of macroscopic irreversible processes must strictly conform to the thermodynamic laws at every step and in all approximations that enter their derivation from the mechanical principles. Upholding this as the inviolable tenet, the author develops theories of irreversible transport processes in fluids (gases or liquids) on the basis of irreversible kinetic equations satisfying the H theorem. They apply regardless of whether the processes are near to or far removed from equilibrium, or whether they are linear or nonlinear with respect to macroscopic fluxes or thermodynamic forces. Both irreversible Boltzmann and generalized Boltzmann equations are used for deriving theories of irreversible transport equations and generalized hydrodynamic equations, which rigorously conform to the tenet. All observables described by the so-formulated theories therefore also strictly obey the tenet.

This monograph explores the density fluctuation theory of transport coefficients in simple and complex liquids, integrating the kinetic theory of liquids, the generic van der Waals equation of state, and modified free volume theory. These theories are crucial for calculating the density and temperature dependence of transport coefficients based on intermolecular forces. While nanoscience and bioscience dominate current scientific discourse, many fundamental aspects of condensed matter science remain unresolved or poorly understood, risking their neglect. The transport coefficients of liquids and gases, along with their thermophysical properties, represent a critical area within the macroscopic properties of molecular systems and statistical mechanics of condensed matter. A solid understanding of these properties is essential, even for nano- and biomaterials, which cannot be fully grasped without a foundation in macroscopic and molecular theories of transport. The systems in question involve a vast number of particles, making them complex and necessitating the use of statistical mechanics and macroscopic physics. The density fluctuation theory of transport coefficients adopts a fundamentally different approach compared to conventional kinetic theories of gases and liquids.