354 research outputs found
Wandering breathers and self-trapping in weakly coupled nonlinear chains: classical counterpart of macroscopic tunneling quantum dynamics
We present analytical and numerical studies of phase-coherent dynamics of
intrinsically localized excitations (breathers) in a system of two weakly
coupled nonlinear oscillator chains. We show that there are two qualitatively
different dynamical regimes of the coupled breathers, either immovable or
slowly-moving: the periodic transverse translation (wandering) of low-amplitude
breather between the chains, and the one-chain-localization of high-amplitude
breather. These two modes of coupled nonlinear excitations, which involve large
number of anharmonic oscillators, can be mapped onto two solutions of a single
pendulum equation, detached by a separatrix mode. We also study two-chain
breathers, which can be considered as bound states of discrete breathers with
different symmetry and center locations in the coupled chains, and bifurcation
of the anti-phase two-chain breather into the one-chain one. Delocalizing
transition of 1D breather in 2D system of a large number of parallel coupled
nonlinear chains is described, in which the breather, initially excited in a
given chain, abruptly spreads its vibration energy in the whole 2D system upon
decreasing breather frequency or amplitude below the threshold one. The
threshold breather frequency is above the cut off phonon frequency in 2D
system, and the threshold breather amplitude scales as square root of the
inter-chain coupling constant. Delocalizing transition of discrete vibrational
breather in 2D and 3D systems of coupled nonlinear chains has an analogy with
delocalizing transition for Bose-Einstein condensates in 2D and 3D optical
lattices.Comment: 33 pages, 16 figure
Numerical Simulation of an Electroweak Oscillon
Numerical simulations of the bosonic sector of the
electroweak Standard Model in 3+1 dimensions have demonstrated the existence of
an oscillon -- an extremely long-lived, localized, oscillatory solution to the
equations of motion -- when the Higgs mass is equal to twice the boson
mass. It contains total energy roughly 30 TeV localized in a region of radius
0.05 fm. A detailed description of these numerical results is presented.Comment: 12 pages, 8 figures, uses RevTeX4; v2: expanded results section,
fixed typo
Multiphonon anharmonic decay of a quantum mode
A nonperturbative theory of multiphonon anharmonic transitions between energy
levels of a local mode is presented. It is shown that the rate of transitions
rearranges near the critical level number : at smaller the process
slows down, while at larger it accelerates in time, causing a jump-like
loss of energy followed by the generation of phonon bursts. Depending on
parameters, phonons are emitted in pairs, triplets etc.Comment: submitted to Europhys.Let
On modulational instability and energy localization in anharmonic lattices at finite energy density
The localization of vibrational energy, induced by the modulational
instability of the Brillouin-zone-boundary mode in a chain of classical
anharmonic oscillators with finite initial energy density, is studied within a
continuum theory. We describe the initial localization stage as a gas of
envelope solitons and explain their merging, eventually leading to a single
localized object containing a macroscopic fraction of the total energy of the
lattice. The initial-energy-density dependences of all characteristic time
scales of the soliton formation and merging are described analytically. Spatial
power spectra are computed and used for the quantitative explanation of the
numerical results.Comment: 12 pages, 7 figure
Supersonic Discrete Kink-Solitons and Sinusoidal Patterns with "Magic" wavenumber in Anharmonic Lattices
The sharp pulse method is applied to Fermi-Pasta-Ulam (FPU) and Lennard-Jones
(LJ) anharmonic lattices. Numerical simulations reveal the presence of high
energy strongly localized ``discrete'' kink-solitons (DK), which move with
supersonic velocities that are proportional to kink amplitudes. For small
amplitudes, the DK's of the FPU lattice reduce to the well-known ``continuous''
kink-soliton solutions of the modified Korteweg-de Vries equation. For high
amplitudes, we obtain a consistent description of these DK's in terms of
approximate solutions of the lattice equations that are obtained by restricting
to a bounded support in space exact solutions with sinusoidal pattern
characterized by the ``magic'' wavenumber . Relative displacement
patterns, velocity versus amplitude, dispersion relation and exponential tails
found in numerical simulations are shown to agree very well with analytical
predictions, for both FPU and LJ lattices.Comment: Europhysics Letters (in print
Conductance of a tunnel point-contact of noble metals in the presence of a single defect
In paper [1] (Avotina et al. Phys. Rev. B,74, 085411 (2006)) the effect of
Fermi surface anisotropy to the conductance of a tunnel point contact, in the
vicinity of which a single point-like defect is situated, has been investigated
theoretically. The oscillatory dependence of the conductance on the distance
between the contact and the defect has been found for a general Fermi surface
geometry. In this paper we apply the method developed in [1] to the calculation
of the conductance of noble metal contacts. An original algorithm, which
enables the computation of the conductance for any parametrically given Fermi
surface, is proposed. On this basis a pattern of the conductance oscillations,
which can be observed by the method of scanning tunneling microscopy, is
obtained for different orientations of the surface for the noble metals.Comment: 8 pages, 5 figure
Signature of Fermi surface anisotropy in point contact conductance in the presence of defects
In a previous paper (Avotina et al.,Phys. Rev. B Vol.71, 115430 (2005)) we
have shown that in principle it is possible to image the defect positions below
a metal surface by means of a scanning tunnelling microscope. The principle
relies on the interference of electron waves scattered on the defects, which
give rise to small but measurable conductance fluctuations. Whereas in that
work the band structure was assumed to be free-electron like, here we
investigate the effects of Fermi surface anisotropy. We demonstrate that the
amplitude and period of the conductance oscillations are determined by the
local geometry of the Fermi surface. The signal results from those points for
which the electron velocity is directed along the vector connecting the point
contact to the defect. For a general Fermi surface geometry the position of the
maximum amplitude of the conductance oscillations is not found for the tip
directly above the defect. We have determined optimal conditions for
determination of defect positions in metals with closed and open Fermi
surfaces.Comment: 23 pages, 8 figure
On the theory of magnetization in multiferroics: competition between ferro- and antiferromagnetic domains
Many technological applications of multiferroics are based on their ability
to reconstruct the domain structure (DS) under the action of small external
fields. In the present paper we analyze the different scenarios of the DS
behavior in a multiferroic that shows simultaneously ferro- and
antiferromagnetic ordering on the different systems of magnetic ions. We
consider the way to control a composition of the DS and macroscopic properties
of the sample by an appropriate field treatment. We found out that sensitivity
of the DS to the external magnetic field and the magnetic susceptibility in a
low-field region are determined mainly by the destressing effects (that have
magnetoelastic origin). In a particular case of SrCuOCl
crystal we anticipate the peculiarities of the elastic and magnetoelastic
properties at K.Comment: 16 pages, 10 figure
Emergence of Oscillons in an Expanding Background
We consider a (1+1) dimensional scalar field theory that supports oscillons,
which are localized, oscillatory, stable solutions to nonlinear equations of
motion. We study this theory in an expanding background and show that oscillons
now lose energy, but at a rate that is exponentially small when the expansion
rate is slow. We also show numerically that a universe that starts with
(almost) thermal initial conditions will cool to a final state where a
significant fraction of the energy of the universe -- on the order of 50% -- is
stored in oscillons. If this phenomenon persists in realistic models, oscillons
may have cosmological consequences.Comment: 13 pages, 4 .eps figures, uses RevTeX4; v2: clarified details of
expansion, added reference
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