A microscopic, non-equilibrium, statistical field theory for cosmic structure formation

Theory for non-equilibrium statistical mechanics.

This paper reviews a new theory for non-equilibrium statistical mechanics. This gives the non-equilibrium analogue of the Boltzmann probability distribution, and the generalization of entropy to dynamic states. It is shown that this so-called second entropy is maximized in the steady state, in contrast to the rate of production of the conventional entropy, which is not an extremum. The relation...

Equilibrium and Non-equilibrium Quantum Field Theory

We first focus in Chapter 2 on infrared effects in finite–temperature quantum field theory. We propose a simple mathematical method (based on the largest–time equation and the Dyson–Schwinger equations) which allows systematic calculations of the change of density in energy/particles in heat–bath during a scattering/decay of external particles within the heat bath. A careful analysis reveals th...

Field Theory of Non-equilibrium Systems

The physics of non-equilibrium many-body systems is one of the most rapidly expanding areas of theoretical physics. Traditionally used in the study of laser physics and superconducting kinetics, these techniques have more recently found applications in the study of dynamics of cold atomic gases, mesoscopic and nano-mechanical systems. The book gives a self-contained presentation of the modern f...

Non-Equilibrium Dynamics and Structure Formation

Non-Equilibrium Statistical Quantum Field Theory ( QFT ) and Quantum Optics( QED )

1 Single System 5 1.1 Pure and Mixed States . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.2 Density Matrices and Operators . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.2.1 Density Matrices for Pure and Mixed States . . . . . . . . . . . . . . 7 1.2.2 Density Operator in Thermal Equilibrium . . . . . . . . . . . . . . . 8 1.3 Statistical Expectation Values of Operators...