107,700 research outputs found
Soliton dynamics in damped and forced Boussinesq equations
We investigate the dynamics of a lattice soliton on a monatomic chain in the
presence of damping and external forces. We consider Stokes and hydrodynamical
damping. In the quasi-continuum limit the discrete system leads to a damped and
forced Boussinesq equation. By using a multiple-scale perturbation expansion up
to second order in the framework of the quasi-continuum approach we derive a
general expression for the first-order velocity correction which improves
previous results. We compare the soliton position and shape predicted by the
theory with simulations carried out on the level of the monatomic chain system
as well as on the level of the quasi-continuum limit system. For this purpose
we restrict ourselves to specific examples, namely potentials with cubic and
quartic anharmonicities as well as the truncated Morse potential, without
taking into account external forces. For both types of damping we find a good
agreement with the numerical simulations both for the soliton position and for
the tail which appears at the rear of the soliton. Moreover we clarify why the
quasi-continuum approximation is better in the hydrodynamical damping case than
in the Stokes damping case
Spin of the ground state and the flux phase problem on the ring
As a continuation of our previous work, we derive the optimal flux phase
which minimizes the ground state energy in the one-dimensional many particle
systems, when the number of particles is odd in the absence of on-site
interaction and external potential. Moreover, we study the relationship between
the flux on the ring and the spin of the ground state through which we derive
some information on the sum of the lowest eigenvalues of one-particle
Hamiltonians
Separable Structure of Many-Body Ground-State Wave Function
We have investigated a general structure of the ground-state wave function
for the Schr\"odinger equation for identical interacting particles (bosons
or fermions) confined in a harmonic anisotropic trap in the limit of large .
It is shown that the ground-state wave function can be written in a separable
form. As an example of its applications, this form is used to obtain the
ground-state wave function describing collective dynamics for trapped
bosons interacting via contact forces.Comment: J. Phys. B: At. Mol. Opt. Phys. 33 (2000) (accepted for publication
A Monte Carlo Test of the Optimal Jet Definition
We summarize the Optimal Jet Definition and present the result of a benchmark
Monte Carlo test based on the W-boson mass extraction from fully hadronic
decays of pairs of W's.Comment: 7 pages, talk given at Lake Louise Winter Institute: "Particles and
the Universe", Lake Louise, Canada, February 16-22, 2003, to be published in
the proceeding
Least action principle for envelope functions in abrupt heterostructures
We apply the envelope function approach to abrupt heterostructures starting
with the least action principle for the microscopic wave function. The
interface is treated nonperturbatively, and our approach is applicable to
mismatched heterostructure. We obtain the interface connection rules for the
multiband envelope function and the short-range interface terms which consist
of two physically distinct contributions. The first one depends only on the
structure of the interface, and the second one is completely determined by the
bulk parameters. We discover new structure inversion asymmetry terms and new
magnetic energy terms important in spintronic applications.Comment: 4 pages, 1 figur
Self force in 2+1 electrodynamics
The radiation reaction problem for an electric charge moving in flat
space-time of three dimensions is discussed. The divergences stemming from the
pointness of the particle are studied. A consistent regularization procedure is
proposed, which exploits the Poincar\'e invariance of the theory. Effective
equation of motion of radiating charge in an external electromagnetic field is
obtained via the consideration of energy-momentum and angular momentum
conservation. This equation includes the effect of the particle's own field.
The radiation reaction is determined by the Lorentz force of point-like charge
acting upon itself plus a non-local term which provides finiteness of the
self-action.Comment: 20 pages, 3 figure
Electron cooling by diffusive normal metal - superconductor tunnel junctions
We investigate heat and charge transport in NN'IS tunnel junctions in the
diffusive limit. Here N and S are massive normal and superconducting electrodes
(reservoirs), N' is a normal metal strip, and I is an insulator. The flow of
electric current in such structures at subgap bias is accompanied by heat
transfer from the normal metal into the superconductor, which enables
refrigeration of electrons in the normal metal. We show that the two-particle
current due to Andreev reflection generates Joule heating, which is deposited
in the N electrode and dominates over the single-particle cooling at low enough
temperatures. This results in the existence of a limiting temperature for
refrigeration. We consider different geometries of the contact: one-dimensional
and planar, which is commonly used in the experiments. We also discuss the
applicability of our results to a double-barrier SINIS microcooler.Comment: 9 pages, 4 figures, submitted to Phys. Rev.
Double proximity effect in hybrid planar Superconductor-(Normal metal/Ferromagnet)-Superconductor structures
We have investigated the differential resistance of hybrid planar
Al-(Cu/Fe)-Al submicron bridges at low temperatures and in weak magnetic
fields. The structure consists of Cu/Fe-bilayer forming a bridge between two
superconducting Al-electrodes. In superconducting state of Al-electrodes, we
have observed a double-peak peculiarity in differential resistance of the
S-(N/F)-S structures at a bias voltage corresponding to the minigap. We claim
that this effect (the doubling of the minigap) is due to an electron spin
polarization in the normal metal which is induced by the ferromagnet. We have
demonstrated that the double-peak peculiarity is converted to a single peak at
a coercive applied field corresponding to zero magnetization of the Fe-layer
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