A brief review of the theory contributions presented in the EC-18 Workshop is given. The covered spectrum of topics is quite broad including the electron cyclotron wave propagation physics as well the results of numerical modelling of transport and current drive.

Density functional theory based approaches give reliable estimates of the total energy, and are an excellent starting point for computing excited state properties of weakly correlated electron systems. These approaches allows the evaluation of transport coefficients using very limited, or no empirical information, and are beginning to be used in conjunction with data mining techniques and combi...

Optimization of large scale linear algebra computations is a long-standing problem in numerical analysis and scientific computing communities. In this pape, we describe our recent synergistic effort on the development of robust, accurate and efficient linear algebra techniques and applications to quantum mechanical simulation. We demonstrate the feasibility, through the use of newly developed l...

Since the formulation of the geometric phase by Berry, its relevance has been demonstrated in a large variety of physical systems. However, a geometric phase of the most fundamental spin-1/2 system, the electron spin, has not been observed directly and controlled independently from dynamical phases. Here we report experimental evidence on the manipulation of an electron spin through a purely ge...

BACKGROUND The transport through a quantum-scale device may be uniquely characterized by its transmission eigenvalues τ(n). Recently, highly conductive single-molecule junctions (SMJ) with multiple transport channels (i.e., several τ(n) > 0) have been formed from benzene molecules between Pt electrodes. Transport through these multichannel SMJs is a probe of both the bonding properties at the l...

the separation of olefin/paraffin mixtures is an important process in petrochemical industries, which is traditionally performed by low temperature distillation with a high-energy consumption, or complex extractive distillationand adsorption techniques. membrane separation process is emerging as an alternative for traditional separation processes with respect to low energy and simple operation....