The PDFs for energy dissipation rates, extracted by Kaneda and Ishihara from their 40963 DNS for fully developed turbulence, are analyzed within the framework of multifractal probability density function theory (MPDFT) to a high accuracy. MPDFT is a statistical mechanical ensemble theory for...

The generating functional formulation of non-equilibrium thermo field dynamics (NETFD) is given. The results are compared with those obtained by Schwinger who introduced the forward and backward time axes in order to include the dissipation effect. The relation of NETFD to other closed time-path...

A laser master equation is derived by introducing an appropriate relaxation operator which takes into account correctly the semi-classical part of laser evolution. The introduction of the relaxation operator is done systematically by making use of the general procedure of non-equilibrium thermo...

The Langevin equation derived by Shibata and Hashitsume with the help of the projection operator formula is shown to be the stochastic differential equation of the Ito type. From their derivation, it is natural to interpret it as that of the Stratonovich type. However, comparing the...

The optical absorption of a localized electron is investigated with the help of an analytically solvable model and the operator algebra of non-equilibrium thermo field dynamics. The structure of the absorption spectra, for the cases of slow as well as fast modulation, is investigated dynamically.

The dynamical rearrangement of the thermal vacuum is investigated within the framework of the thermo field dynamics (TFD). For the cases where the initial state and the final state of a system have different symmetries, models of the boson transformation and the superconductor are dealt with to...

This article reviews the formulation of the self-consistent renormalization method in thermo field dynamics and the way this can lead to the spontaneous creation of dissipation in an isolated system. The general theory is illustrated by an explicit solution of a model of a system interacting...

The development of non-equilibrium thermo field dynamics, called NETFD in abbreviation, was started in 1983 based on the damping theory in Liouville space. It has progressed considerably since then. Especially, the structural similarity between the framework of NETFD and the framework of the...

An axiomatic formulation of the thermo field dynamics (TFD) for spin systems is performed, and is applied to the relaxation process of single spin-12. The spin relaxation accompanied with a change of symmetry of the system is also investigated. The time evolution of an order parameter is...

Quantum teleportation for continuous variables is treated by Non-Equilibrium Thermo Field Dynamics (NETFD), a canonical operator formalism for dissipative quantum systems, in order to study the effect of imperfect quantum entanglement on quantum communication. We used an entangled state...