A general Green function formulation for nonlinear operators is presented based on the linear properties of slash products and differentiation of the generating functional operators. A perturbative approach with nonlinear response relationship for linear operators was extended to the case of...

Having analyzed the role of time-ordering boundary conditions in deriving irreversible kinetic equation a general irreversible Liouville equation is proposed. By this equation a variety of irreversible kinetic equations, such as a stochastic diffusion equation, a irreversible project Liouville...

A nonequilibrium ensemble method based on the Bolztmann equation is extended to provide a general formalism starting from a general Liouville equation. A scheme for calculating the nonequilibrium projected density operator for an open quantum system, based on a subdynamic kinetic equation is...

The formalism of influence functionals introduced by Feynman and Vernon (Ann. Phys. 281 (2000) 547) for open systems was applied to design a quantum computing system using nanowires or nanotubes. The formalism was extended to include the interaction of an electronic current confined within such...

Several dynamical equations for quantum information density (QID) in an open quantum electrodynamic system are studied. We discuss extending the kinetic equation of QID to the domain of quantum fields. To do this, we start from the Schwinger–Tomonaga equation and related kinetic equations for...

Using the kinetic equation of subdynamics and the principle of maximal entropy we derive a type of nonlinear Liouville equation (NLE) for project/open quantum systems. The NLE can describe projected (or reduced) density operator, which allows to establish formalism of project Green functions...

We study several kinetic equations for quantum information density (QID) based on the classical dynamical statistical information theory (Trans. Beijing Inst. Technol. 24 (2004) 1; Acta Phys. Scinica 53 (2004) 2852). We find that the Liouville equation, SKE and quantum Fokker–Planck equation...

A generalized Schrödinger equation for describing irreversible processes is introduced. It reveals that the wave function probability for an open system is not necessarily conservative, and enables a number of irreversible kinetic equations to be derived. One example in the field of quantum...

A Schrödinger (Liouville) type of equation for an quantum open system is presented. The equation has a correlated part and many Master equations can be derived from it as special cases. Most significantly, it can be applied to construct a decoherence-free subspace for quantum computing. The...

This study numerically investigated knocking phenomenal of a RCCI (Reactivity Controlled Compression Ignition) engine fuelled with biodiesel and methanol. A reduced biodiesel/methanol chemical reaction mechanism coupled with 3D-CFD model was developed and applied to capture local pressure and...