Lectures on non-equilibrium theory of condensed matter / Ladislaus Alexander Banyai.

Format:

Book

Author/Creator:

Banyai, Ladislaus Alexander.

Language:

English

Subjects (All):

Condensed matter--Mathematics.

Condensed matter.

Matter.

Physical Description:

1 online resource (247 p.)

Place of Publication:

Hackensack, N.J. : World Scientific, c2006.

Language Note:

English

Summary:

This book discusses in depth many of the key problems in non-equilibrium physics. The origin of macroscopic irreversible behavior receives particular attention and is illustrated in the framework of solvable models. An updated discussion on the linear response focuses on the correct electrodynamic aspects, which are essential for example, in the proof of the Nyquist theorem. The material covers the scaling relationship between different levels of description (kinetic to hydrodynamic) as well as spontaneous symmetry breaking in real time in terms of nonlinear dynamics (attractors), illustrated

Contents:

Contents; Preface; 1. Introduction (Why and how non-equilibrium?); 2. Time-reversal and evolution toward equilibrium; 3. The 1D model of Caldeira and Leggett; 4. The classical polaron in a d.c. field; 5. Schrodinger equation versus Master equation; 6. Naive deduction of the rate equation from the equation of motion; 7. Naive quantum kinetics; 8. Diagonal Master equations and rate equations; 8.1 Properties of the Master equation; 8.2 Rate equations; 8.3 Scattered versus hopping electrons; 9. The Boltzmann equation; 10. Hydrodynamics as scaling of kinetic theory

10.1 Macroscopic description of charge evolution in a semiconductor10.2 The scale projection conjecture; 10.3 Scaling in a neutral hopping model; 10.4 Scaling in a charged hopping model; 10.5 Scaling in a charged Boltzmann model; 11. Linear response to external perturbations; 12. The Nyquist theorem; 13. The Kubo formulae; 13.1 The Kubo formula for the electric conductivity; 13.2 The non-mechanical kinetic coefficients; 13.3 Symmetry relations dispersion relations and sum rules

13.4 Implementation of the Master (rate) - approach into the Kubo formulae. Transport by scattered electrons versus transport by hopping electrons13.5 Ideal relaxation; 13.6 The transverse strong-field magneto-resistance; 14. Excitonic absorption in a semiconductor; 15. The longitudinal dielectric function of crystals; 16. Charged particles interacting with the quantized electromagnetic field; 16.1 Classical microscopical theory; 16.2 Non-relativistic quantum electrodynamics; 16.3 The transverse dielectric function in the nonrelativistic quantum electrodynamics

16.4 One-loop (RPA) susceptibility17. Master equations for the density operator (Reservoir theory); 18. Two-level atom interacting with light; 19. Master equations for the density operator with particle-particle collisions (The super-projector approach); 20. Van Hove's weak coupling limit and Davies's generalization; 21. Bose-Einstein condensation in real time; 21.1 BEC of the free Bose gas as an equilibrium phase transition; 21.2 Markovian real-time description of non-interacting bosons in contact with a thermal bath; 21.3 BEC in real time of the free Bose gas

21.4 Spontaneous symmetry breaking in a finite volume. A solvable model of BEC22. Real-time experiments: Ultra-short-time spectroscopy; 23. Keldysh's non-equilibrium Green functions; 23.1 Equilibrium Green functions; 23.2 Non-equilibrium Keldysh-Green Functions; 24. Keldysh-Green functions and time-reversal; 25. Time-dependent Hartree-Fock treatment of Coulomb interaction. The exciton; 26. Quantum kinetics of electrons and holes scattered by LO phonons within the s.c. RPA and the Kadanoff-Baym approximation

27. Full two-time quantum-kinetics of electrons and holes scattered by LO phonons within the s.c. RPA

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 227-230) and index.

ISBN:

9786611919115

9781281919113

128191911X

9789812773814

9812773819