A formulation for transport in an inhomogeneous, interacting electron gas is described. Electronic current is induced by a constraint condition imposed as a vector Lagrange multiplier. Constrained minimization of the total energy functional on the manifold of an arbitrary constant current leads to a many-electron Schrödinger equation with a complex, momentum-dependent potential. Constant curren...

We present a theory of tunneling and resonant transitions in one-dimensional molecular systems which is based on Green s function theory of electron sub-barrier scattering off the structural units (or functional groups) of a molecular chain. We show that the many-electron effects are of paramount importance in electron transport and they are effectively treated using a formalism of subbarrier s...

The electrical resistivity, Hall coefficient, and thermopower as functions of temperature are reported for lightly electron-doped Ca1−xLaxMnO3 0 x 0.10 . Unlike the case of hole-doped ferromagnetic manganites, the magnitude and temperature dependence of the Hall mobility H for these compounds is found to be inconsistent with small-polaron theory. The transport data are better described by the F...

Elucidating the fitness measures optimized during the evolution of complex biological systems is a major challenge in evolutionary theory. We present experimental evidence and an analytical framework demonstrating how biochemical networks exploit optimal control strategies in their evolutionary dynamics. Optimal control theory explains a striking pattern of extremization in the redox potentials...

In this paper, longshore sediment transport in littoral zones is investigated. For investigation of sediment transport in the nearshore zone, the effects of waves, currents and topographical conditions of coast are considered. Linear wave theory was used for the investigation of the wave behaviour. Governing equations of littoral current are continuity and momentum ones. For calculating concent...

Elucidating the fitness measures optimized during the evolution of complex biological systems is a major challenge in evolutionary theory. We present experimental evidence and an analytical framework demonstrating how biochemical networks exploit optimal control strategies in their evolutionary dynamics. Optimal control theory explains a striking pattern of extremization in the redox potentials...