http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Non-equilibrium thermodynamics and physical kinetics
1 online resource (1 online resource (xii, 359 pages)).
This graduate textbook covers contemporary directions of non-equilibrium statistical mechanics as well as classical methods of kinetics. With one of the main propositions being to avoid terms such as ""obviously"" and ""it is easy to show"", this treatise is an easy-to-read introduction into this traditional, yet vibrant field.
The authors' note; 1 Phenomenological thermodynamics of irreversible processes; 1.1 Main postulates of non-equilibriumthermodynamics; 1.1.1 Thermodynamic description of equilibriumand non-equilibrium systems; 1.1.2 Local equilibriumprinciple; 1.1.3 Entropy balance equation and conservation laws; 1.1.4 Generalized flows and generalized thermodynamic forces; 1.1.5 Generalized transport coefficients and the Onsager symmetry relations; 1.1.6 Variational principles in linear non-equilibriumthermodynamics; 1.1.7 Minimum entropy production principle for weakly non-equilibrium steady states.
1.2 On the application of the Onsager theory1.2.1 Thermoelectric phenomena. The Peltier, Seebeck, Thomson effects and their relationship; 1.2.2 Effects in an external magnetic field; 1.3 Self-organization in highly non-equilibriumsystems; 1.3.1 Non-equilibriumdissipative structures; 1.3.2 The Glansdorff-Prigogine universal evolution criterion; 1.3.3 Ways of describing strongly non-equilibriumsystems; 1.3.4 Stability of states of highly non-equilibrium systems; 1.3.5 The Lyapunov global stability criterion; 1.3.6 Dynamical systems with one degree of freedom.
1.3.7 Dynamical systems with two degrees freedom1.3.8 Dynamic chaos; 1.3.9 Dynamic chaos in one-dimensional mappings; Problems to Chapter 1; 2 Brownian Motion; 2.1 The Langevin equation for a Brownian particle; 2.1.1 Nature of motion of a Brownian particle. Random forces; 2.1.2 Displacement of a Brownian particle; 2.2 The Fokker-Planck equation for a Brownian particle; 2.2.1 Derivation of the Fokker-Planck equation; 2.2.2 The solution of the Fokker-Planck equation; Problems to Chapter 2; 3 Kinetic equations in non-equilibrium statistical mechanics.
3.1 Description of non-equilibriumsystems in statistical mechanics3.1.1 Integrable and nonintegrable dynamical systems; 3.1.2 The evolution of dynamical systems in phase space; 3.2 Substantiation of quasiclassical kinetic equations; 3.2.1 The Liouville equation for the distribution function; 3.2.2 The chain of the Bogoliubov equations; 3.2.3 Equation for the one-particle distribution. The relaxation time approximation; 3.2.4 The Vlasov kinetic equation for a collisionless plasma; 3.2.5 The Boltzmann equation for a low-density gas; 3.2.6 Qualitative derivation of the Boltzmann equation.
3.2.7 Derivation of the Boltzmann equation from the Bogoliubov equations chain3.2.8 The Fokker-Planck equation; 3.3 Solving for kinetic equations; 3.3.1 The solution of the Boltzmann equation for the equilibriumstate; 3.3.2 The Boltzmann H-theorem; 3.3.3 The Hilbert expansion; 3.3.4 The Enskog-Chapman method. Derivation of hydrodynamic equations; 3.3.5 The method of moments; Problems to Chapter 3; 4 Kinetic equation for electrons and phonons in conducting crystals; 4.1 Kinetic coefficients in the relaxation time approximation.
Includes bibliographical references (pages 353-354) and index.