5,059 research outputs found
Electron self-energy and effective mass in a single heterostructure
In this paper, we investigate the electron self-energy and effective mass in
a single heterostructure using Green-function method. Numerical calculations of
the electron self-energy and effective mass for GaAs/AlAs heterostructure are
performed. The results show that the self energy (effective mass) of electron,
which incorporate the energy of electron coupling to interface-optical phonons
and half three-dimension LO phonons, monotonically increase(decrease) from that
of interface polaron to that of 3D bulk polaron with the increase of the
distance between the position of the electron and interface.Comment: 10 pages, 2 figure
Steady-state traffic flow on a ring road with up- and down- slopes
This paper studies steady-state traffic flow on a ring road with up- and
down- slopes using a semi-discrete model. By exploiting the relations between
the semi-discrete and the continuum models, a steady-state solution is uniquely
determined for a given total number of vehicles on the ring road. The solution
is exact and always stable with respect to the first-order continuum model,
whereas it is a good approximation with respect to the semi-discrete model
provided that the involved equilibrium constant states are linearly stable. In
an otherwise case, the instability of one or more equilibria could trigger
stop-and-go waves propagating in certain road sections or throughout the ring
road. The indicated results are reasonable and thus physically significant for
a better understanding of real traffic flow on an inhomogeneous road
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