Büttiker–Landauer tunneling time through one-dimensional barriers of arbitrary shape

Büttiker–Landauer tunneling time through one-dimensional barriers of arbitrary shape

A convenient formalism, based on the surface Green’s functions is developed that allows one to obtain a general expression for the Büttiker–Landauer tunneling time through onedimensional barriers of arbitrary shape. It is shown that transmission, reflection and dwell times can be expressed in terms of the scattering-matrix elements. Although the results are based on the Larmor clock approach, t...

Chiral tunneling through generic one-dimensional potential barriers in bilayer graphene

analytical solution to one-dimensional advection-diffusion equation with several point sources through arbitrary time-dependent emission rate patterns

advection-diffusion equation and its related analytical solutions have gained wide applications in different areas. compared with numerical solutions, the analytical solutions benefit from some advantages. as such, many analytical solutions have been presented for the advection-diffusion equation. the difference between these solutions is mainly in the type of boundary conditions, e.g. time pat...

Resonant tunneling through traps in Schottky barriers

2014 The authors present a theoretical treatment of the resonant tunneling phenomenon in Schottky barriers including deep traps whose potentials are represented by Dirac 03B4 functions. It is shown that in this case the quantum treatment of the tunneling effect leads to exactly the same result as that obtained when applying a more phenomenological formulation of the problem similar to the one u...

One dimensional simulation of flushing sediment through reservoirs

Control of sedimentation in reservoirs of dams is considered to be one of the most important issues in exploitation of dams and increasing their useful life. Reservoirs act as traps for sediments and prevent transport of sediments to the river. The deposited sediments will decrease the capacity of the reservoirs so that they cannot be in use any more. Various methods are discussed in this study...